A Dual Finite Element Method for a Singularly Perturbed Reaction-Diffusion Problem
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Publication:5113125
DOI10.1137/19M1264229zbMath1440.65188OpenAlexW3032521632MaRDI QIDQ5113125
Publication date: 10 June 2020
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/19m1264229
Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (6)
Balanced-norm and energy-norm error analyses for a backward Euler/FEM solving a singularly perturbed parabolic reaction-diffusion problem ⋮ Battling Gibbs phenomenon: on finite element approximations of discontinuous solutions of PDEs ⋮ Efficient discretization and preconditioning of the singularly perturbed reaction-diffusion problem ⋮ Balanced and energy norm error bounds for a spatial FEM with Crank-Nicolson and BDF2 time discretisation applied to a singularly perturbed reaction-diffusion problem ⋮ A posteriori error estimates for a dual finite element method for singularly perturbed reaction-diffusion problems ⋮ A weighted and balanced FEM for singularly perturbed reaction-diffusion problems
Uses Software
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