Anisotropic meshes and streamline‐diffusion stabilization for convection–diffusion problems
Copyright policy )Anisotropic meshes and streamline‐diffusion stabilization for convection–diffusion problems
AbstractWe study a convection‐diffusion problem with dominant convection. Anisotropic streamline aligned meshes with high aspect ratios are recommended to resolve characteristic interior and boundary layers and to achieve high accuracy. We address the question of how the stabilization parameter in the streamline‐diffusion FEM (SDFEM) and the Galerkin least‐squares FEM (GLSFEM) should be chosen inside the layers. Using a residual free bubbles approach, we show that within the layers the stabilization must be drastically reduced. Copyright © 2005 John Wiley & Sons, Ltd.
- TU Dresden Germany
layer-adapted meshes, FEM, Boundary value problems for second-order elliptic equations, streamline-diffusion finite element method, residual free bubbles, Galerkin least-squares finite element method, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, convection-diffusion problems, stabilization
layer-adapted meshes, FEM, Boundary value problems for second-order elliptic equations, streamline-diffusion finite element method, residual free bubbles, Galerkin least-squares finite element method, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, convection-diffusion problems, stabilization
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