A parameter robust numerical method for a two dimensional reaction-diffusion problem
DOI10.1090/S0025-5718-05-01762-XzbMath1086.65101OpenAlexW2060713120MaRDI QIDQ5315415
José Luis Gracia, Eugene O'Riordan, Carmelo Clavero
Publication date: 8 September 2005
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-05-01762-x
convergenceasymptotic behaviorsingular perturbationnumerical exampleserror boundsreaction-diffusion equationcentral finite difference scheme
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)
Related Items (56)
Cites Work
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- Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type
- Anisotropic mesh refinement for a singularly perturbed reaction diffusion model problem
- A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
- Layer-adapted meshes for convection-diffusion problems
- Linear and quasilinear elliptic equations
- A Uniformly Accurate Finite-Element Method for a Singularly Perturbed One-Dimensional Reaction-Diffusion Problem
- Differentiability Properties of Solutions of the Equation $ - \varepsilon ^2 \Delta u + ru = f(x,y)$ in a Square
- On the Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems in Two and One Dimensions
- Finite-element methods for singularly perturbed high-order elliptic two-point boundary value problems. I: reaction-diffusion-type problems
- Uniform approximation of singularly perturbed reaction-diffusion problems by the finite element method on a Shishkin mesh
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