A balanced norm error estimation for the time-dependent reaction-diffusion problem with shift in space

DOI10.1016/j.amc.2022.127507OpenAlexW4296337519MaRDI QIDQ2096251

Lars Ludwig, Mirjana Brdar, Sebastian Franz, Hans-Goerg Roos

Publication date: 16 November 2022

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.01601

zbMATH Keywords

discontinuous Galerkintime-dependentsingularly perturbedspatial shift

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (3)

Numerical analysis of a singularly perturbed convection diffusion problem with shift in space ⋮ A robust higher-order fitted mesh numerical method for solving singularly perturbed parabolic reaction-diffusion problems ⋮ 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

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