| Título: | Finite Element Methods for Surface Diffusion |
| Autores: |
Eberhard Bansch Pedro Morin; IMAL-CONICET-UNL Ricardo Nochetto |
| Fecha: | 2006-08-10 |
| Publicador: | Cuadernos de Matemática y Mecánica |
| Fuente: |
 |
| Tipo: |
Articles |
| Tema: | No aplica |
| Descripción: | Surface diffusion is a (4th order highly nonlinear) geometric driven motion of a surface with normal velocity proportional to the surface Laplacian of mean curvature. We present a novel variational formulation for the parametric case, develop a finite element method, and propose a Schur complement approach to solve the resulting linear systems. We also introduce a new graph formulation and state an optimal a priori error estimate. We conclude with several significant simulations, some with pinch-off in finite time. Keywords: Surface diffusion, fourth-order parabolic problem, finite elements, a priori error estimates, Schur complement, smoothing effect, pinch-off. AMS Subject Classifications: 35K55, 65M12, 65M15, 65M60, 65Z05 Published: Free Boundary Problems. International Series of Num. Math., vol. 147, 53--63, Birkhäuser (2003) |
| Idioma: | Inglés |
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