A unified framework for time-dependent singularly perturbed problems with discontinuous Galerkin methods in time
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Publication:4640316
DOI10.1090/mcom/3326zbMath1395.65127OpenAlexW2764244586MaRDI QIDQ4640316
Sebastian Franz, Gunar Matthies
Publication date: 17 May 2018
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/mcom/3326
Singular perturbations in context of PDEs (35B25) Error bounds for boundary value problems involving PDEs (65N15) 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 (5)
The local discontinuous Galerkin method on layer-adapted meshes for time-dependent singularly perturbed convection-diffusion problems ⋮ Balanced-norm and energy-norm error analyses for a backward Euler/FEM solving a singularly perturbed parabolic reaction-diffusion problem ⋮ Error analysis of weak Galerkin finite element methods for time-dependent convection-diffusion equations ⋮ Analysis of generalised alternating local discontinuous Galerkin method on layer-adapted mesh for singularly perturbed problems ⋮ A balanced norm error estimation for the time-dependent reaction-diffusion problem with shift in space
Uses Software
Cites Work
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