A finite element analysis of a coupled system of singularly perturbed reaction-diffusion equations.
DOI10.1016/S0096-3003(02)00955-4zbMath1042.65065OpenAlexW1965850606MaRDI QIDQ1421286
Publication date: 26 January 2004
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00955-4
convergencenumerical resultsfinite element methoderror boundsShishkin meshsolution decompositionReaction-diffusion equationingular perturbation
Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Error bounds for numerical methods for ordinary differential equations (65L70) Linear boundary value problems for ordinary differential equations (34B05) Singular perturbations for ordinary differential equations (34E15) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A numerical method for a system of singularly perturbed reaction-diffusion equations
- Mesh approximation of singularly perturbed boundary-value problems for systems of elliptic and parabolic equations
- A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction-diffusion problems
- Sufficient conditions for uniform convergence on layer-adapted grids
- The necessity of Shishkin decompositions