Anisotropic meshes and streamline‐diffusion stabilization for convection–diffusion problems

DOI10.1002/cnm.764zbMath1081.65111OpenAlexW2157643851MaRDI QIDQ5706440

Torsten Linss

Publication date: 7 November 2005

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.764

zbMATH Keywords

stabilizationconvection-diffusion problemsstreamline-diffusion finite element methodFEMlayer-adapted meshesresidual free bubblesGalerkin least-squares finite element method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (11)

Analysis of the SDFEM for convection-diffusion problems with characteristic layers ⋮ Anisotropic meshes and stabilization parameter design of linear SUPG method for 2D convection-dominated convection-diffusion equations ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Fast successive permutation iterative algorithms for solving convection diffusion equation ⋮ SDFEM for an elliptic singularly perturbed problem with two parameters ⋮ A stabilized finite element scheme for the Navier-Stokes equations on quadrilateral anisotropic meshes ⋮ Convergence in \(L^{2}\) norm of the SDFEM on a Shishkin triangular mesh for problems with characteristic layers ⋮ Superconvergence analysis of the SDFEM for elliptic problems with characteristic layers ⋮ Interior penalty discontinuous approximations of convection-diffusion problems with parabolic layers ⋮ A weighted and balanced FEM for singularly perturbed reaction-diffusion problems ⋮ How accurate is the streamline-diffusion FEM inside characteristic (boundary and interior) layers?

Cites Work

• Unnamed Item
• Unnamed Item
• How accurate is the streamline-diffusion FEM inside characteristic (boundary and interior) layers?
• Differentiability Properties of Solutions of the Equation $ - \varepsilon ^2 \Delta u + ru = f(x,y)$ in a Square
• The SDFEM for a Convection-Diffusion Problem with a Boundary Layer: Optimal Error Analysis and Enhancement of Accuracy
• The SDFEM on Shishkin meshes for linear convection-diffusion problems

This page was built for publication: Anisotropic meshes and streamline‐diffusion stabilization for convection–diffusion problems