ANALYSIS OF THE SPACE SEMI-DISCRETIZED SUPG METHOD FOR TRANSIENT CONVECTION–DIFFUSION EQUATIONS-Reference-Cited by-同舟云学术

ANALYSIS OF THE SPACE SEMI-DISCRETIZED SUPG METHOD FOR TRANSIENT CONVECTION–DIFFUSION EQUATIONS

Published:2011-10 Issue:10 Volume:21 Page:2049-2068
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BURMAN ERIK¹,SMITH GILES¹

Affiliation:

1. Department of Mathematics, Mantell Building, University of Sussex, Falmer, Brighton, BN1 9RF, UK

Abstract

We consider space semi-discretization of the transient convection–diffusion equation using a Streamline Upwind Petrov–Galerkin (SUPG) finite element method. We show stability and convergence both for the standard SUPG formulation with elementwise evaluated Laplacian and for a weakly consistent formulation where the elementwise Laplacian is replaced by a discrete, reconstructed, Laplacian. Some numerical examples are presented to illustrate the theory.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202511005659

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