Dirichlet-to-Neumann mappings and finite-differences for anisotropic diffusion
| Autor: | Laurent Gosse |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
General Computer Science
Anisotropic diffusion 010102 general mathematics Mathematical analysis General Engineering Finite difference Type (model theory) 01 natural sciences Dirichlet distribution 010101 applied mathematics symbols.namesake Mathieu function symbols 0101 mathematics Diffusion (business) Anisotropy Bessel function Mathematics |
| Zdroj: | Computers & Fluids. 156:58-65 |
| ISSN: | 0045-7930 |
| DOI: | 10.1016/j.compfluid.2017.06.026 |
| Popis: | A general methodology, which consists in deriving two-dimensional finite-difference schemes which involve numerical fluxes based on Dirichlet-to-Neumann maps (or Steklov–Poincare operators), is first recalled. Then, it is applied to several types of diffusion equations, some being weakly anisotropic, endowed with an external source. Standard finite-difference discretizations are systematically recovered, showing that in absence of any other mechanism, like e.g. convection and/or damping (which bring Bessel and/or Mathieu functions inside that type of numerical fluxes), these well-known schemes achieve a satisfying multi-dimensional character. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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