際際滷shows by User: tr1987 / http://www.slideshare.net/images/logo.gif 際際滷shows by User: tr1987 / Tue, 18 Oct 2011 15:47:56 GMT 際際滷Share feed for 際際滷shows by User: tr1987 Applications of the surface finite element method /slideshow/applications-of-the-surface-finite-element-method/9757725 leicester11-111018154800-phpapp02
A coupled bulk-surface finite element method is presented to solve problems arising in cell biology. Optimal order estimates for a linear elliptic equation are shown along with some numerical examples. An example of a parabolic problem with nonlinear coupling governed by Langmuir kinetics is presented, which describes the process of fluorescence recovery after photo bleaching (FRAP) in biological cells.]]>

A coupled bulk-surface finite element method is presented to solve problems arising in cell biology. Optimal order estimates for a linear elliptic equation are shown along with some numerical examples. An example of a parabolic problem with nonlinear coupling governed by Langmuir kinetics is presented, which describes the process of fluorescence recovery after photo bleaching (FRAP) in biological cells.]]>
Tue, 18 Oct 2011 15:47:56 GMT /slideshow/applications-of-the-surface-finite-element-method/9757725 tr1987@slideshare.net(tr1987) Applications of the surface finite element method tr1987 A coupled bulk-surface finite element method is presented to solve problems arising in cell biology. Optimal order estimates for a linear elliptic equation are shown along with some numerical examples. An example of a parabolic problem with nonlinear coupling governed by Langmuir kinetics is presented, which describes the process of fluorescence recovery after photo bleaching (FRAP) in biological cells. <img style="border:1px solid #C3E6D8;float:right;" alt="" src="https://cdn.slidesharecdn.com/ss_thumbnails/leicester11-111018154800-phpapp02-thumbnail.jpg?width=120&amp;height=120&amp;fit=bounds" /><br> A coupled bulk-surface finite element method is presented to solve problems arising in cell biology. Optimal order estimates for a linear elliptic equation are shown along with some numerical examples. An example of a parabolic problem with nonlinear coupling governed by Langmuir kinetics is presented, which describes the process of fluorescence recovery after photo bleaching (FRAP) in biological cells.
Applications of the surface finite element method from tr1987
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How to Solve a Partial Differential Equation on a surface /slideshow/grad-seminar-10/9731643 gradseminar10-111017083729-phpapp02
Familiar techniques of separation of variables and Fourier series can be used to solve a variety of pde based on domains in the plane, however these techniques do not extend naturally to surface problems. Instead we look to take a computational approach. The talk will cover the basics of finite difference and finite element approximations of the one dimensional heat equation and show how to extend these ideas on to surfaces. If time allows, we will show numerical results of an optimal partition problem based on a sphere. No background knowledge of pde or computation is required.]]>

Familiar techniques of separation of variables and Fourier series can be used to solve a variety of pde based on domains in the plane, however these techniques do not extend naturally to surface problems. Instead we look to take a computational approach. The talk will cover the basics of finite difference and finite element approximations of the one dimensional heat equation and show how to extend these ideas on to surfaces. If time allows, we will show numerical results of an optimal partition problem based on a sphere. No background knowledge of pde or computation is required.]]>
Mon, 17 Oct 2011 08:37:27 GMT /slideshow/grad-seminar-10/9731643 tr1987@slideshare.net(tr1987) How to Solve a Partial Differential Equation on a surface tr1987 Familiar techniques of separation of variables and Fourier series can be used to solve a variety of pde based on domains in the plane, however these techniques do not extend naturally to surface problems. Instead we look to take a computational approach. The talk will cover the basics of finite difference and finite element approximations of the one dimensional heat equation and show how to extend these ideas on to surfaces. If time allows, we will show numerical results of an optimal partition problem based on a sphere. No background knowledge of pde or computation is required. <img style="border:1px solid #C3E6D8;float:right;" alt="" src="https://cdn.slidesharecdn.com/ss_thumbnails/gradseminar10-111017083729-phpapp02-thumbnail.jpg?width=120&amp;height=120&amp;fit=bounds" /><br> Familiar techniques of separation of variables and Fourier series can be used to solve a variety of pde based on domains in the plane, however these techniques do not extend naturally to surface problems. Instead we look to take a computational approach. The talk will cover the basics of finite difference and finite element approximations of the one dimensional heat equation and show how to extend these ideas on to surfaces. If time allows, we will show numerical results of an optimal partition problem based on a sphere. No background knowledge of pde or computation is required.
How to Solve a Partial Differential Equation on a surface from tr1987
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