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		<id>https://www.wikiwaves.org/index.php?title=Michael_Meylan&amp;diff=8542</id>
		<title>Michael Meylan</title>
		<link rel="alternate" type="text/html" href="https://www.wikiwaves.org/index.php?title=Michael_Meylan&amp;diff=8542"/>
		<updated>2009-01-09T05:56:40Z</updated>

		<summary type="html">&lt;p&gt;ErlibOtaca: http://lifokdron.0lx.net/446.html&lt;/p&gt;
&lt;hr /&gt;
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Michael Meylan is a senior lecturer at the [http://www.auckland.ac.nz University of Auckland]. &lt;br /&gt;
He completed his Ph.D. under [[Vernon Squire]]&lt;br /&gt;
in 1993 which was concerned with modelling ice floes using linear wave theory. &lt;br /&gt;
He has worked on various problem connected with linear water wave theory in the subsequent time.  &lt;br /&gt;
&lt;br /&gt;
Mike&#039;s [http://www.math.auckland.ac.nz/Directory/profile.php?upi=mmey007 home page]&lt;br /&gt;
&lt;br /&gt;
[[Image:Mikem.jpg|thumb|right|Photo taken in 1999]]&lt;br /&gt;
&lt;br /&gt;
= Research =&lt;br /&gt;
&lt;br /&gt;
== PhD Otago 1991 - 1993== &lt;br /&gt;
Mike&#039;s PhD thesis concerned a two-dimensional [[:Category:Floating Elastic Plate|Floating Elastic Plate]] which was solved&lt;br /&gt;
using a [[Green Function Solution Method]] ([[Meylan and Squire 1994]]). The motivation for the solution was to model ice floe&lt;br /&gt;
and at the time he was ignorant of the engineering applications (e.g. [[VLFS]]).&lt;br /&gt;
Mike independently derived the Green function which &lt;br /&gt;
was well known in water waves and goes back to [[John 1950]]. &lt;br /&gt;
The derivation method was copied by [[Squire and Dixon 2000]]&lt;br /&gt;
(based on a close reading of his Phd thesis) for the case, not of a free surface,&lt;br /&gt;
but for a free surface covered by a plate&lt;br /&gt;
The results&lt;br /&gt;
of this research were published in the &#039;&#039;Journal of Geophysical Research&#039;&#039; and were largely&lt;br /&gt;
ignored by later researchers. His Phd thesis probably had a much greater influence, through&lt;br /&gt;
the researchers who followed at Otago and it is continuing to appear in journal citations.&lt;br /&gt;
The solution method using a Green function coupled with a Green function for the plate&lt;br /&gt;
(the later Green function does not extend to three dimensions because of the much&lt;br /&gt;
more complicated boundary conditions which exist). The solution method has been &lt;br /&gt;
superseded by more efficient methods, most notably the [[:Category:Wiener-Hopf|Wiener-Hopf]] method developed&lt;br /&gt;
by [[Tim Williams]] and the [[:Category:Eigenfunction Matching Method|Eigenfunction Matching Method]]&lt;br /&gt;
(which applied to multiple plates) developed by [[Kohout et. al. 2006]].&lt;br /&gt;
&lt;br /&gt;
== Post-Doc in Otago 1994 - 1996 ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Mikem2006.jpg|thumb|right|Photo taken in 2006]]&lt;br /&gt;
&lt;br /&gt;
Mike then extended the two-dimensional solution to a three-dimensional circular elastic plate &lt;br /&gt;
([[Meylan_Squire_1996a|Meylan and Squire 1996]]).&lt;br /&gt;
This solution again used a Green function method coupled with the eigenfunctions for a circular&lt;br /&gt;
plate (which can be computed in exact form, at least up to solving an equation involving&lt;br /&gt;
Bessel functions. The solution method has been superseded by [[Peter, Meylan, and Chung 2004]].&lt;br /&gt;
Mike also developed a method to solve for plates of arbitrary geometry, initially using&lt;br /&gt;
a variational method ([[Meylan_2001a|Meylan 2001]]) and later using the [[Finite Element Method]]&lt;br /&gt;
([[Meylan 2002]]).&lt;br /&gt;
&lt;br /&gt;
== Post Doc Auckland 1996 - 1998 ==&lt;br /&gt;
Mike then worked on using the solution for a circular elastic plate to try and construct a model&lt;br /&gt;
for [[:Category:Wave Scattering in the Marginal Ice Zone|Wave Scattering in the Marginal Ice Zone]] &lt;br /&gt;
([[Meylan, Squire, and Fox 1997]]).&lt;br /&gt;
This model was developed independently of the model of [[Masson and LeBlond 1989]]&lt;br /&gt;
but shares many similarities with it. &lt;br /&gt;
&lt;br /&gt;
Mike then worked on a very abstract problem concerning the eigenfunction&lt;br /&gt;
expansion method for the non-selfadjoint operator which arises in the scattering model&lt;br /&gt;
of [[Meylan, Squire, and Fox 1997]]. This is a problem in water wave theory.&lt;br /&gt;
&lt;br /&gt;
==Massey University 1999 - 2003 ==&lt;br /&gt;
&lt;br /&gt;
Mike began working on the [[:Category:Time-Dependent Linear Water Waves|Time-Dependent Linear Water Wave]] problem.&lt;br /&gt;
He solved for the time-dependent motion of a [[:Category:Floating Elastic Plate|Floating Elastic Plate]]&lt;br /&gt;
assuming [[Shallow Depth]]. The solution was found using a [[Generalised Eigenfunction Expansion]]&lt;br /&gt;
and as a sum over [[Scattering Frequencies]] ([[Meylan 2002]]). This lead to a collaboration with&lt;br /&gt;
[[Christophe Hazard]] and to a solution of the problem of a [[:Category:Floating Elastic Plate|Floating Elastic Plate]]&lt;br /&gt;
on [[Finite Depth]] in the time domain. &lt;br /&gt;
&lt;br /&gt;
[[Cynthia Wang]] worked with Mike as a masters (2000) and Phd student (2001-2003). Her master thesis concerned &lt;br /&gt;
wave scattering by a [[:Category:Floating Elastic Plate|Floating Elastic Plate]] on water of [[Variable Bottom Topography]]&lt;br /&gt;
([[Wang and Meylan 2002]]). Cynthia&#039;s PhD concerned a higher-order&lt;br /&gt;
coupled [[:Category:Boundary Element Method|Boundary Element Method]] [[Finite Element Method]] for the three-dimensional&lt;br /&gt;
[[:Category:Floating Elastic Plate|Floating Elastic Plate]] ([[Wang and Meylan 2004]]) and applied this&lt;br /&gt;
method to the problem of an [[:Category:Infinite Array|Infinite Array]]&lt;br /&gt;
of [[:Category:Floating Elastic Plate|Floating Elastic Plates]]&lt;br /&gt;
([[Wang, Meylan, and Porter 2006]]).&lt;br /&gt;
&lt;br /&gt;
Mike developed a method to solve for multiple floes using an extension of the method&lt;br /&gt;
of [[Meylan 2002]]. This was not published but was used to test the&lt;br /&gt;
multiple floe scattering method which was developed with [[Malte Peter]] using [[Kagemoto and Yue Interaction Theory]]&lt;br /&gt;
which was developed during his masters in 2002.&lt;br /&gt;
Specifically, in [[Peter and Meylan 2004]] the [[Kagemoto and Yue Interaction Theory]] was extended&lt;br /&gt;
to infinite depth and a coherent account of the theory for bodies of arbitrary geometry was given.&lt;br /&gt;
This work required the development of very sophisticated wave scattering code for bodies of&lt;br /&gt;
arbitrary geometry. As a direct result of this work a new expression for the [[Free-Surface Green Function]] was &lt;br /&gt;
developed and this was published separately ([[Peter and Meylan 2004b]]). &lt;br /&gt;
&lt;br /&gt;
Mike also revisited the problem of a [[Circular Floating Elastic Plate]] and developed a method&lt;br /&gt;
based on the [[:Category:Eigenfunction Matching Method|Eigenfunction Matching Method]] ([[Peter, Meylan, and Chung 2004]]).&lt;br /&gt;
Rike Grotmaack worked with Mike for an honours project in 2002 on [[Wave Forcing of Small Bodies]] &lt;br /&gt;
([[Grotmaack and Meylan 2006]])&lt;br /&gt;
&lt;br /&gt;
== Auckland 2003 - present ==&lt;br /&gt;
&lt;br /&gt;
[[Malte Peter]] and Mike have continued to work together and have developed an alternative method&lt;br /&gt;
for the [[:Category:Infinite Array|Infinite Array]] based on [[Kagemoto and Yue Interaction Theory]] &lt;br /&gt;
([[Peter, Meylan, and Linton 2006]]). This method has been recently&lt;br /&gt;
extended to a [[Semi-Infinite Array]]. He has continuted to work of [[:Category:Wave Scattering in the Marginal Ice Zone|Wave Scattering in the Marginal Ice Zone]]&lt;br /&gt;
and has developed a model with [[Alison Kohout]]. This model is based on the multiple &lt;br /&gt;
[[:Category:Floating Elastic Plate|Floating Elastic Plate]]&lt;br /&gt;
solution using the [[:Category:Eigenfunction Matching Method|Eigenfunction Matching Method]]&lt;br /&gt;
([[Kohout et. al. 2006]]). He is presently&lt;br /&gt;
working on a theory based on [[Scattering Frequencies]] with [[Rodney Eatock Taylor]].&lt;br /&gt;
&lt;br /&gt;
[[Category:People|Meylan, Michael]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:People|Meylan, Michael]]&lt;/div&gt;</summary>
		<author><name>ErlibOtaca</name></author>
	</entry>
	<entry>
		<id>https://www.wikiwaves.org/index.php?title=Michael_Meylan&amp;diff=8505</id>
		<title>Michael Meylan</title>
		<link rel="alternate" type="text/html" href="https://www.wikiwaves.org/index.php?title=Michael_Meylan&amp;diff=8505"/>
		<updated>2009-01-08T22:40:43Z</updated>

		<summary type="html">&lt;p&gt;ErlibOtaca: http://cnavieltz.strefa.pl/comment-423.htm&lt;/p&gt;
&lt;hr /&gt;
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Michael Meylan is a senior lecturer at the [http://www.auckland.ac.nz University of Auckland]. &lt;br /&gt;
He completed his Ph.D. under [[Vernon Squire]]&lt;br /&gt;
in 1993 which was concerned with modelling ice floes using linear wave theory. &lt;br /&gt;
He has worked on various problem connected with linear water wave theory in the subsequent time.  &lt;br /&gt;
&lt;br /&gt;
Mike&#039;s [http://www.math.auckland.ac.nz/Directory/profile.php?upi=mmey007 home page]&lt;br /&gt;
&lt;br /&gt;
[[Image:Mikem.jpg|thumb|right|Photo taken in 1999]]&lt;br /&gt;
&lt;br /&gt;
= Research =&lt;br /&gt;
&lt;br /&gt;
== PhD Otago 1991 - 1993== &lt;br /&gt;
Mike&#039;s PhD thesis concerned a two-dimensional [[:Category:Floating Elastic Plate|Floating Elastic Plate]] which was solved&lt;br /&gt;
using a [[Green Function Solution Method]] ([[Meylan and Squire 1994]]). The motivation for the solution was to model ice floe&lt;br /&gt;
and at the time he was ignorant of the engineering applications (e.g. [[VLFS]]).&lt;br /&gt;
Mike independently derived the Green function which &lt;br /&gt;
was well known in water waves and goes back to [[John 1950]]. &lt;br /&gt;
The derivation method was copied by [[Squire and Dixon 2000]]&lt;br /&gt;
(based on a close reading of his Phd thesis) for the case, not of a free surface,&lt;br /&gt;
but for a free surface covered by a plate&lt;br /&gt;
The results&lt;br /&gt;
of this research were published in the &#039;&#039;Journal of Geophysical Research&#039;&#039; and were largely&lt;br /&gt;
ignored by later researchers. His Phd thesis probably had a much greater influence, through&lt;br /&gt;
the researchers who followed at Otago and it is continuing to appear in journal citations.&lt;br /&gt;
The solution method using a Green function coupled with a Green function for the plate&lt;br /&gt;
(the later Green function does not extend to three dimensions because of the much&lt;br /&gt;
more complicated boundary conditions which exist). The solution method has been &lt;br /&gt;
superseded by more efficient methods, most notably the [[:Category:Wiener-Hopf|Wiener-Hopf]] method developed&lt;br /&gt;
by [[Tim Williams]] and the [[:Category:Eigenfunction Matching Method|Eigenfunction Matching Method]]&lt;br /&gt;
(which applied to multiple plates) developed by [[Kohout et. al. 2006]].&lt;br /&gt;
&lt;br /&gt;
== Post-Doc in Otago 1994 - 1996 ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Mikem2006.jpg|thumb|right|Photo taken in 2006]]&lt;br /&gt;
&lt;br /&gt;
Mike then extended the two-dimensional solution to a three-dimensional circular elastic plate &lt;br /&gt;
([[Meylan_Squire_1996a|Meylan and Squire 1996]]).&lt;br /&gt;
This solution again used a Green function method coupled with the eigenfunctions for a circular&lt;br /&gt;
plate (which can be computed in exact form, at least up to solving an equation involving&lt;br /&gt;
Bessel functions. The solution method has been superseded by [[Peter, Meylan, and Chung 2004]].&lt;br /&gt;
Mike also developed a method to solve for plates of arbitrary geometry, initially using&lt;br /&gt;
a variational method ([[Meylan_2001a|Meylan 2001]]) and later using the [[Finite Element Method]]&lt;br /&gt;
([[Meylan 2002]]).&lt;br /&gt;
&lt;br /&gt;
== Post Doc Auckland 1996 - 1998 ==&lt;br /&gt;
Mike then worked on using the solution for a circular elastic plate to try and construct a model&lt;br /&gt;
for [[:Category:Wave Scattering in the Marginal Ice Zone|Wave Scattering in the Marginal Ice Zone]] &lt;br /&gt;
([[Meylan, Squire, and Fox 1997]]).&lt;br /&gt;
This model was developed independently of the model of [[Masson and LeBlond 1989]]&lt;br /&gt;
but shares many similarities with it. &lt;br /&gt;
&lt;br /&gt;
Mike then worked on a very abstract problem concerning the eigenfunction&lt;br /&gt;
expansion method for the non-selfadjoint operator which arises in the scattering model&lt;br /&gt;
of [[Meylan, Squire, and Fox 1997]]. This is a problem in water wave theory.&lt;br /&gt;
&lt;br /&gt;
==Massey University 1999 - 2003 ==&lt;br /&gt;
&lt;br /&gt;
Mike began working on the [[:Category:Time-Dependent Linear Water Waves|Time-Dependent Linear Water Wave]] problem.&lt;br /&gt;
He solved for the time-dependent motion of a [[:Category:Floating Elastic Plate|Floating Elastic Plate]]&lt;br /&gt;
assuming [[Shallow Depth]]. The solution was found using a [[Generalised Eigenfunction Expansion]]&lt;br /&gt;
and as a sum over [[Scattering Frequencies]] ([[Meylan 2002]]). This lead to a collaboration with&lt;br /&gt;
[[Christophe Hazard]] and to a solution of the problem of a [[:Category:Floating Elastic Plate|Floating Elastic Plate]]&lt;br /&gt;
on [[Finite Depth]] in the time domain. &lt;br /&gt;
&lt;br /&gt;
[[Cynthia Wang]] worked with Mike as a masters (2000) and Phd student (2001-2003). Her master thesis concerned &lt;br /&gt;
wave scattering by a [[:Category:Floating Elastic Plate|Floating Elastic Plate]] on water of [[Variable Bottom Topography]]&lt;br /&gt;
([[Wang and Meylan 2002]]). Cynthia&#039;s PhD concerned a higher-order&lt;br /&gt;
coupled [[:Category:Boundary Element Method|Boundary Element Method]] [[Finite Element Method]] for the three-dimensional&lt;br /&gt;
[[:Category:Floating Elastic Plate|Floating Elastic Plate]] ([[Wang and Meylan 2004]]) and applied this&lt;br /&gt;
method to the problem of an [[:Category:Infinite Array|Infinite Array]]&lt;br /&gt;
of [[:Category:Floating Elastic Plate|Floating Elastic Plates]]&lt;br /&gt;
([[Wang, Meylan, and Porter 2006]]).&lt;br /&gt;
&lt;br /&gt;
Mike developed a method to solve for multiple floes using an extension of the method&lt;br /&gt;
of [[Meylan 2002]]. This was not published but was used to test the&lt;br /&gt;
multiple floe scattering method which was developed with [[Malte Peter]] using [[Kagemoto and Yue Interaction Theory]]&lt;br /&gt;
which was developed during his masters in 2002.&lt;br /&gt;
Specifically, in [[Peter and Meylan 2004]] the [[Kagemoto and Yue Interaction Theory]] was extended&lt;br /&gt;
to infinite depth and a coherent account of the theory for bodies of arbitrary geometry was given.&lt;br /&gt;
This work required the development of very sophisticated wave scattering code for bodies of&lt;br /&gt;
arbitrary geometry. As a direct result of this work a new expression for the [[Free-Surface Green Function]] was &lt;br /&gt;
developed and this was published separately ([[Peter and Meylan 2004b]]). &lt;br /&gt;
&lt;br /&gt;
Mike also revisited the problem of a [[Circular Floating Elastic Plate]] and developed a method&lt;br /&gt;
based on the [[:Category:Eigenfunction Matching Method|Eigenfunction Matching Method]] ([[Peter, Meylan, and Chung 2004]]).&lt;br /&gt;
Rike Grotmaack worked with Mike for an honours project in 2002 on [[Wave Forcing of Small Bodies]] &lt;br /&gt;
([[Grotmaack and Meylan 2006]])&lt;br /&gt;
&lt;br /&gt;
== Auckland 2003 - present ==&lt;br /&gt;
&lt;br /&gt;
[[Malte Peter]] and Mike have continued to work together and have developed an alternative method&lt;br /&gt;
for the [[:Category:Infinite Array|Infinite Array]] based on [[Kagemoto and Yue Interaction Theory]] &lt;br /&gt;
([[Peter, Meylan, and Linton 2006]]). This method has been recently&lt;br /&gt;
extended to a [[Semi-Infinite Array]]. He has continuted to work of [[:Category:Wave Scattering in the Marginal Ice Zone|Wave Scattering in the Marginal Ice Zone]]&lt;br /&gt;
and has developed a model with [[Alison Kohout]]. This model is based on the multiple &lt;br /&gt;
[[:Category:Floating Elastic Plate|Floating Elastic Plate]]&lt;br /&gt;
solution using the [[:Category:Eigenfunction Matching Method|Eigenfunction Matching Method]]&lt;br /&gt;
([[Kohout et. al. 2006]]). He is presently&lt;br /&gt;
working on a theory based on [[Scattering Frequencies]] with [[Rodney Eatock Taylor]].&lt;br /&gt;
&lt;br /&gt;
[[Category:People|Meylan, Michael]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:People|Meylan, Michael]]&lt;/div&gt;</summary>
		<author><name>ErlibOtaca</name></author>
	</entry>
	<entry>
		<id>https://www.wikiwaves.org/index.php?title=Michael_Meylan&amp;diff=8487</id>
		<title>Michael Meylan</title>
		<link rel="alternate" type="text/html" href="https://www.wikiwaves.org/index.php?title=Michael_Meylan&amp;diff=8487"/>
		<updated>2009-01-08T16:01:30Z</updated>

		<summary type="html">&lt;p&gt;ErlibOtaca: http://zelgetgo.0lx.net/new1613.htm&lt;/p&gt;
&lt;hr /&gt;
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racalviva&lt;br /&gt;
Michael Meylan is a senior lecturer at the [http://www.auckland.ac.nz University of Auckland]. &lt;br /&gt;
He completed his Ph.D. under [[Vernon Squire]]&lt;br /&gt;
in 1993 which was concerned with modelling ice floes using linear wave theory. &lt;br /&gt;
He has worked on various problem connected with linear water wave theory in the subsequent time.  &lt;br /&gt;
&lt;br /&gt;
Mike&#039;s [http://www.math.auckland.ac.nz/Directory/profile.php?upi=mmey007 home page]&lt;br /&gt;
&lt;br /&gt;
[[Image:Mikem.jpg|thumb|right|Photo taken in 1999]]&lt;br /&gt;
&lt;br /&gt;
= Research =&lt;br /&gt;
&lt;br /&gt;
== PhD Otago 1991 - 1993== &lt;br /&gt;
Mike&#039;s PhD thesis concerned a two-dimensional [[:Category:Floating Elastic Plate|Floating Elastic Plate]] which was solved&lt;br /&gt;
using a [[Green Function Solution Method]] ([[Meylan and Squire 1994]]). The motivation for the solution was to model ice floe&lt;br /&gt;
and at the time he was ignorant of the engineering applications (e.g. [[VLFS]]).&lt;br /&gt;
Mike independently derived the Green function which &lt;br /&gt;
was well known in water waves and goes back to [[John 1950]]. &lt;br /&gt;
The derivation method was copied by [[Squire and Dixon 2000]]&lt;br /&gt;
(based on a close reading of his Phd thesis) for the case, not of a free surface,&lt;br /&gt;
but for a free surface covered by a plate&lt;br /&gt;
The results&lt;br /&gt;
of this research were published in the &#039;&#039;Journal of Geophysical Research&#039;&#039; and were largely&lt;br /&gt;
ignored by later researchers. His Phd thesis probably had a much greater influence, through&lt;br /&gt;
the researchers who followed at Otago and it is continuing to appear in journal citations.&lt;br /&gt;
The solution method using a Green function coupled with a Green function for the plate&lt;br /&gt;
(the later Green function does not extend to three dimensions because of the much&lt;br /&gt;
more complicated boundary conditions which exist). The solution method has been &lt;br /&gt;
superseded by more efficient methods, most notably the [[:Category:Wiener-Hopf|Wiener-Hopf]] method developed&lt;br /&gt;
by [[Tim Williams]] and the [[:Category:Eigenfunction Matching Method|Eigenfunction Matching Method]]&lt;br /&gt;
(which applied to multiple plates) developed by [[Kohout et. al. 2006]].&lt;br /&gt;
&lt;br /&gt;
== Post-Doc in Otago 1994 - 1996 ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Mikem2006.jpg|thumb|right|Photo taken in 2006]]&lt;br /&gt;
&lt;br /&gt;
Mike then extended the two-dimensional solution to a three-dimensional circular elastic plate &lt;br /&gt;
([[Meylan_Squire_1996a|Meylan and Squire 1996]]).&lt;br /&gt;
This solution again used a Green function method coupled with the eigenfunctions for a circular&lt;br /&gt;
plate (which can be computed in exact form, at least up to solving an equation involving&lt;br /&gt;
Bessel functions. The solution method has been superseded by [[Peter, Meylan, and Chung 2004]].&lt;br /&gt;
Mike also developed a method to solve for plates of arbitrary geometry, initially using&lt;br /&gt;
a variational method ([[Meylan_2001a|Meylan 2001]]) and later using the [[Finite Element Method]]&lt;br /&gt;
([[Meylan 2002]]).&lt;br /&gt;
&lt;br /&gt;
== Post Doc Auckland 1996 - 1998 ==&lt;br /&gt;
Mike then worked on using the solution for a circular elastic plate to try and construct a model&lt;br /&gt;
for [[:Category:Wave Scattering in the Marginal Ice Zone|Wave Scattering in the Marginal Ice Zone]] &lt;br /&gt;
([[Meylan, Squire, and Fox 1997]]).&lt;br /&gt;
This model was developed independently of the model of [[Masson and LeBlond 1989]]&lt;br /&gt;
but shares many similarities with it. &lt;br /&gt;
&lt;br /&gt;
Mike then worked on a very abstract problem concerning the eigenfunction&lt;br /&gt;
expansion method for the non-selfadjoint operator which arises in the scattering model&lt;br /&gt;
of [[Meylan, Squire, and Fox 1997]]. This is a problem in water wave theory.&lt;br /&gt;
&lt;br /&gt;
==Massey University 1999 - 2003 ==&lt;br /&gt;
&lt;br /&gt;
Mike began working on the [[:Category:Time-Dependent Linear Water Waves|Time-Dependent Linear Water Wave]] problem.&lt;br /&gt;
He solved for the time-dependent motion of a [[:Category:Floating Elastic Plate|Floating Elastic Plate]]&lt;br /&gt;
assuming [[Shallow Depth]]. The solution was found using a [[Generalised Eigenfunction Expansion]]&lt;br /&gt;
and as a sum over [[Scattering Frequencies]] ([[Meylan 2002]]). This lead to a collaboration with&lt;br /&gt;
[[Christophe Hazard]] and to a solution of the problem of a [[:Category:Floating Elastic Plate|Floating Elastic Plate]]&lt;br /&gt;
on [[Finite Depth]] in the time domain. &lt;br /&gt;
&lt;br /&gt;
[[Cynthia Wang]] worked with Mike as a masters (2000) and Phd student (2001-2003). Her master thesis concerned &lt;br /&gt;
wave scattering by a [[:Category:Floating Elastic Plate|Floating Elastic Plate]] on water of [[Variable Bottom Topography]]&lt;br /&gt;
([[Wang and Meylan 2002]]). Cynthia&#039;s PhD concerned a higher-order&lt;br /&gt;
coupled [[:Category:Boundary Element Method|Boundary Element Method]] [[Finite Element Method]] for the three-dimensional&lt;br /&gt;
[[:Category:Floating Elastic Plate|Floating Elastic Plate]] ([[Wang and Meylan 2004]]) and applied this&lt;br /&gt;
method to the problem of an [[:Category:Infinite Array|Infinite Array]]&lt;br /&gt;
of [[:Category:Floating Elastic Plate|Floating Elastic Plates]]&lt;br /&gt;
([[Wang, Meylan, and Porter 2006]]).&lt;br /&gt;
&lt;br /&gt;
Mike developed a method to solve for multiple floes using an extension of the method&lt;br /&gt;
of [[Meylan 2002]]. This was not published but was used to test the&lt;br /&gt;
multiple floe scattering method which was developed with [[Malte Peter]] using [[Kagemoto and Yue Interaction Theory]]&lt;br /&gt;
which was developed during his masters in 2002.&lt;br /&gt;
Specifically, in [[Peter and Meylan 2004]] the [[Kagemoto and Yue Interaction Theory]] was extended&lt;br /&gt;
to infinite depth and a coherent account of the theory for bodies of arbitrary geometry was given.&lt;br /&gt;
This work required the development of very sophisticated wave scattering code for bodies of&lt;br /&gt;
arbitrary geometry. As a direct result of this work a new expression for the [[Free-Surface Green Function]] was &lt;br /&gt;
developed and this was published separately ([[Peter and Meylan 2004b]]). &lt;br /&gt;
&lt;br /&gt;
Mike also revisited the problem of a [[Circular Floating Elastic Plate]] and developed a method&lt;br /&gt;
based on the [[:Category:Eigenfunction Matching Method|Eigenfunction Matching Method]] ([[Peter, Meylan, and Chung 2004]]).&lt;br /&gt;
Rike Grotmaack worked with Mike for an honours project in 2002 on [[Wave Forcing of Small Bodies]] &lt;br /&gt;
([[Grotmaack and Meylan 2006]])&lt;br /&gt;
&lt;br /&gt;
== Auckland 2003 - present ==&lt;br /&gt;
&lt;br /&gt;
[[Malte Peter]] and Mike have continued to work together and have developed an alternative method&lt;br /&gt;
for the [[:Category:Infinite Array|Infinite Array]] based on [[Kagemoto and Yue Interaction Theory]] &lt;br /&gt;
([[Peter, Meylan, and Linton 2006]]). This method has been recently&lt;br /&gt;
extended to a [[Semi-Infinite Array]]. He has continuted to work of [[:Category:Wave Scattering in the Marginal Ice Zone|Wave Scattering in the Marginal Ice Zone]]&lt;br /&gt;
and has developed a model with [[Alison Kohout]]. This model is based on the multiple &lt;br /&gt;
[[:Category:Floating Elastic Plate|Floating Elastic Plate]]&lt;br /&gt;
solution using the [[:Category:Eigenfunction Matching Method|Eigenfunction Matching Method]]&lt;br /&gt;
([[Kohout et. al. 2006]]). He is presently&lt;br /&gt;
working on a theory based on [[Scattering Frequencies]] with [[Rodney Eatock Taylor]].&lt;br /&gt;
&lt;br /&gt;
[[Category:People|Meylan, Michael]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:People|Meylan, Michael]]&lt;/div&gt;</summary>
		<author><name>ErlibOtaca</name></author>
	</entry>
	<entry>
		<id>https://www.wikiwaves.org/index.php?title=Michael_Meylan&amp;diff=8383</id>
		<title>Michael Meylan</title>
		<link rel="alternate" type="text/html" href="https://www.wikiwaves.org/index.php?title=Michael_Meylan&amp;diff=8383"/>
		<updated>2008-12-20T01:37:25Z</updated>

		<summary type="html">&lt;p&gt;ErlibOtaca: alccnadelge&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;racalviva&lt;br /&gt;
Michael Meylan is a senior lecturer at the [http://www.auckland.ac.nz University of Auckland]. &lt;br /&gt;
He completed his Ph.D. under [[Vernon Squire]]&lt;br /&gt;
in 1993 which was concerned with modelling ice floes using linear wave theory. &lt;br /&gt;
He has worked on various problem connected with linear water wave theory in the subsequent time.  &lt;br /&gt;
&lt;br /&gt;
Mike&#039;s [http://www.math.auckland.ac.nz/Directory/profile.php?upi=mmey007 home page]&lt;br /&gt;
&lt;br /&gt;
[[Image:Mikem.jpg|thumb|right|Photo taken in 1999]]&lt;br /&gt;
&lt;br /&gt;
= Research =&lt;br /&gt;
&lt;br /&gt;
== PhD Otago 1991 - 1993== &lt;br /&gt;
Mike&#039;s PhD thesis concerned a two-dimensional [[:Category:Floating Elastic Plate|Floating Elastic Plate]] which was solved&lt;br /&gt;
using a [[Green Function Solution Method]] ([[Meylan and Squire 1994]]). The motivation for the solution was to model ice floe&lt;br /&gt;
and at the time he was ignorant of the engineering applications (e.g. [[VLFS]]).&lt;br /&gt;
Mike independently derived the Green function which &lt;br /&gt;
was well known in water waves and goes back to [[John 1950]]. &lt;br /&gt;
The derivation method was copied by [[Squire and Dixon 2000]]&lt;br /&gt;
(based on a close reading of his Phd thesis) for the case, not of a free surface,&lt;br /&gt;
but for a free surface covered by a plate&lt;br /&gt;
The results&lt;br /&gt;
of this research were published in the &#039;&#039;Journal of Geophysical Research&#039;&#039; and were largely&lt;br /&gt;
ignored by later researchers. His Phd thesis probably had a much greater influence, through&lt;br /&gt;
the researchers who followed at Otago and it is continuing to appear in journal citations.&lt;br /&gt;
The solution method using a Green function coupled with a Green function for the plate&lt;br /&gt;
(the later Green function does not extend to three dimensions because of the much&lt;br /&gt;
more complicated boundary conditions which exist). The solution method has been &lt;br /&gt;
superseded by more efficient methods, most notably the [[:Category:Wiener-Hopf|Wiener-Hopf]] method developed&lt;br /&gt;
by [[Tim Williams]] and the [[:Category:Eigenfunction Matching Method|Eigenfunction Matching Method]]&lt;br /&gt;
(which applied to multiple plates) developed by [[Kohout et. al. 2006]].&lt;br /&gt;
&lt;br /&gt;
== Post-Doc in Otago 1994 - 1996 ==&lt;br /&gt;
&lt;br /&gt;
[[Image:Mikem2006.jpg|thumb|right|Photo taken in 2006]]&lt;br /&gt;
&lt;br /&gt;
Mike then extended the two-dimensional solution to a three-dimensional circular elastic plate &lt;br /&gt;
([[Meylan_Squire_1996a|Meylan and Squire 1996]]).&lt;br /&gt;
This solution again used a Green function method coupled with the eigenfunctions for a circular&lt;br /&gt;
plate (which can be computed in exact form, at least up to solving an equation involving&lt;br /&gt;
Bessel functions. The solution method has been superseded by [[Peter, Meylan, and Chung 2004]].&lt;br /&gt;
Mike also developed a method to solve for plates of arbitrary geometry, initially using&lt;br /&gt;
a variational method ([[Meylan_2001a|Meylan 2001]]) and later using the [[Finite Element Method]]&lt;br /&gt;
([[Meylan 2002]]).&lt;br /&gt;
&lt;br /&gt;
== Post Doc Auckland 1996 - 1998 ==&lt;br /&gt;
Mike then worked on using the solution for a circular elastic plate to try and construct a model&lt;br /&gt;
for [[:Category:Wave Scattering in the Marginal Ice Zone|Wave Scattering in the Marginal Ice Zone]] &lt;br /&gt;
([[Meylan, Squire, and Fox 1997]]).&lt;br /&gt;
This model was developed independently of the model of [[Masson and LeBlond 1989]]&lt;br /&gt;
but shares many similarities with it. &lt;br /&gt;
&lt;br /&gt;
Mike then worked on a very abstract problem concerning the eigenfunction&lt;br /&gt;
expansion method for the non-selfadjoint operator which arises in the scattering model&lt;br /&gt;
of [[Meylan, Squire, and Fox 1997]]. This is a problem in water wave theory.&lt;br /&gt;
&lt;br /&gt;
==Massey University 1999 - 2003 ==&lt;br /&gt;
&lt;br /&gt;
Mike began working on the [[:Category:Time-Dependent Linear Water Waves|Time-Dependent Linear Water Wave]] problem.&lt;br /&gt;
He solved for the time-dependent motion of a [[:Category:Floating Elastic Plate|Floating Elastic Plate]]&lt;br /&gt;
assuming [[Shallow Depth]]. The solution was found using a [[Generalised Eigenfunction Expansion]]&lt;br /&gt;
and as a sum over [[Scattering Frequencies]] ([[Meylan 2002]]). This lead to a collaboration with&lt;br /&gt;
[[Christophe Hazard]] and to a solution of the problem of a [[:Category:Floating Elastic Plate|Floating Elastic Plate]]&lt;br /&gt;
on [[Finite Depth]] in the time domain. &lt;br /&gt;
&lt;br /&gt;
[[Cynthia Wang]] worked with Mike as a masters (2000) and Phd student (2001-2003). Her master thesis concerned &lt;br /&gt;
wave scattering by a [[:Category:Floating Elastic Plate|Floating Elastic Plate]] on water of [[Variable Bottom Topography]]&lt;br /&gt;
([[Wang and Meylan 2002]]). Cynthia&#039;s PhD concerned a higher-order&lt;br /&gt;
coupled [[:Category:Boundary Element Method|Boundary Element Method]] [[Finite Element Method]] for the three-dimensional&lt;br /&gt;
[[:Category:Floating Elastic Plate|Floating Elastic Plate]] ([[Wang and Meylan 2004]]) and applied this&lt;br /&gt;
method to the problem of an [[:Category:Infinite Array|Infinite Array]]&lt;br /&gt;
of [[:Category:Floating Elastic Plate|Floating Elastic Plates]]&lt;br /&gt;
([[Wang, Meylan, and Porter 2006]]).&lt;br /&gt;
&lt;br /&gt;
Mike developed a method to solve for multiple floes using an extension of the method&lt;br /&gt;
of [[Meylan 2002]]. This was not published but was used to test the&lt;br /&gt;
multiple floe scattering method which was developed with [[Malte Peter]] using [[Kagemoto and Yue Interaction Theory]]&lt;br /&gt;
which was developed during his masters in 2002.&lt;br /&gt;
Specifically, in [[Peter and Meylan 2004]] the [[Kagemoto and Yue Interaction Theory]] was extended&lt;br /&gt;
to infinite depth and a coherent account of the theory for bodies of arbitrary geometry was given.&lt;br /&gt;
This work required the development of very sophisticated wave scattering code for bodies of&lt;br /&gt;
arbitrary geometry. As a direct result of this work a new expression for the [[Free-Surface Green Function]] was &lt;br /&gt;
developed and this was published separately ([[Peter and Meylan 2004b]]). &lt;br /&gt;
&lt;br /&gt;
Mike also revisited the problem of a [[Circular Floating Elastic Plate]] and developed a method&lt;br /&gt;
based on the [[:Category:Eigenfunction Matching Method|Eigenfunction Matching Method]] ([[Peter, Meylan, and Chung 2004]]).&lt;br /&gt;
Rike Grotmaack worked with Mike for an honours project in 2002 on [[Wave Forcing of Small Bodies]] &lt;br /&gt;
([[Grotmaack and Meylan 2006]])&lt;br /&gt;
&lt;br /&gt;
== Auckland 2003 - present ==&lt;br /&gt;
&lt;br /&gt;
[[Malte Peter]] and Mike have continued to work together and have developed an alternative method&lt;br /&gt;
for the [[:Category:Infinite Array|Infinite Array]] based on [[Kagemoto and Yue Interaction Theory]] &lt;br /&gt;
([[Peter, Meylan, and Linton 2006]]). This method has been recently&lt;br /&gt;
extended to a [[Semi-Infinite Array]]. He has continuted to work of [[:Category:Wave Scattering in the Marginal Ice Zone|Wave Scattering in the Marginal Ice Zone]]&lt;br /&gt;
and has developed a model with [[Alison Kohout]]. This model is based on the multiple &lt;br /&gt;
[[:Category:Floating Elastic Plate|Floating Elastic Plate]]&lt;br /&gt;
solution using the [[:Category:Eigenfunction Matching Method|Eigenfunction Matching Method]]&lt;br /&gt;
([[Kohout et. al. 2006]]). He is presently&lt;br /&gt;
working on a theory based on [[Scattering Frequencies]] with [[Rodney Eatock Taylor]].&lt;br /&gt;
&lt;br /&gt;
[[Category:People|Meylan, Michael]]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
[[Category:People|Meylan, Michael]]&lt;/div&gt;</summary>
		<author><name>ErlibOtaca</name></author>
	</entry>
</feed>