An Asymptotically Fitted Finite Element Method for Convection Dominated Convection-Diffusion-Reaction Problems

DOI10.1002/zamm.19920720304zbMath0772.65072OpenAlexW2078143854MaRDI QIDQ4033978

Gert Lube

Publication date: 16 May 1993

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19920720304

zbMATH Keywords

error estimatesnumerical examplesfinite elementboundary layersmesh refinementstreamline-diffusionconvection- dominated convection-diffusion-reaction problemsexponentially fited method

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Error bounds for boundary value problems involving PDEs (65N15) 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 (9)

A priori and a posteriori error analysis of a staggered discontinuous Galerkin method for convection dominant diffusion equations ⋮ Stabilizing the convection-diffusion-reaction equation via local problems ⋮ Numerical crosswind smear in the streamline diffusion method ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ An adaptive finite element method with crosswind diffusion for low Mach, steady, laminar combustion ⋮ Modified streamline diffusion schemes for convection-diffusion problems ⋮ Streamline diffusion finite element method for quasilinear elliptic problems ⋮ On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review ⋮ Stabilized finite element methods with shock capturing for advection-diffusion problems

Cites Work

• Unnamed Item

This page was built for publication: An Asymptotically Fitted Finite Element Method for Convection Dominated Convection-Diffusion-Reaction Problems