Optimal mesh design for the finite element approximation of reaction-diffusion problems

International Journal for Numerical Methods in Engineering

Volumn 53, Issue 4, 2002, Pages 929-943

  Xenophontos, C ^a  

^a CLARKSON UNIVERSITY   (United States)

Author keywords

Exponentially graded mesh; Finite element method; Singulary perturbed reaction diffusion problem

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; DIFFUSION; FINITE ELEMENT METHOD; PERTURBATION TECHNIQUES; REACTION KINETICS;

OPTIMAL MESH DESIGNS; REACTION DIFFUSION PROBLEMS;

PROBLEM SOLVING;

FINITE ELEMENT METHOD; REACTION-DIFFUSION EQUATION;

EID: 0037050718     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.318     Document Type: Article

References (13)

1. Grid approximation of singularly perturbed boundary value problems with a regular boundary layer
2. The p and hp versions of the finite element method for problems with boundary layers
3. The hp finite element method for problems in mechanics with boundary layers
4. The hp finite element method for singularly perturbed problems in smooth domains
5. The hp finite element method for singularly perturbed problems in non-smooth domains
6. hp FEM for reaction-diffusion equations. I: Robust exponential convergence