Name
Abstract | ||
|---|---|---|
We develop a multigrid finite element approach to solve PDE’s on surfaces. The multigrid approach involves the same weights for restriction and prolongation as in the case of planar domains. Combined with the concept of parametric finite elements the approach thus allows to reuse code initially developed to solve problems on planar domains to solve the corresponding problem on surfaces. The method is tested on a non-linear reaction-diffusion system on stationary and evolving surfaces, with the normal velocity of the evolving surface depending on the reaction-diffusion system. As a reference model the Schnakenberg system is used, offering non-linearity and algebraic simplicity on one hand, and quantitative reference data on the other hand. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1007/s00791-010-0136-2 | Computat. and Visualiz. in Science |
Keywords | Field | DocType |
multigrid finite element approach,quantitative reference data,planar domain,reference model,schnakenberg system,multigrid finite element method,algebraic simplicity,multigrid approach,non-linear reaction-diffusion system,reaction-diffusion system,parametric finite element,finite element,finite element method,correspondence problem,reference data | Mathematical optimization,Reference model,Regular grid,Mathematical analysis,Extended finite element method,Finite element method,Parametric statistics,Reaction–diffusion system,Multigrid method,Mathematics,Mixed finite element method | Journal |
Volume | Issue | ISSN |
13 | 4 | 1433-0369 |
Citations | PageRank | References |
4 | 0.49 | 11 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Christoph Landsberg | 1 | 4 | 0.49 |
| Axel Voigt | 2 | 42 | 6.68 |