\textit{A posteriori} analysis of an iterative multi-discretization method for reaction-diffusion systems

DOI10.1016/j.cma.2013.08.007zbMath1286.65121OpenAlexW2075595799MaRDI QIDQ2450551

Victor Ginting, Simon J. Tavener, Jehanzeb Hameed Chaudhry, Donald J. Estep

Publication date: 14 May 2014

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2013.08.007

zbMATH Keywords

discontinuous Galerkin methodreaction-diffusionmulti-scale discretizationmultirate methodoperator decomposition\textit{a posteriori} estimates

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) 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 (9)

Error estimation and uncertainty quantification for first time to a threshold value ⋮ A posteriori error analysis of round-off errors in the numerical solution of ordinary differential equations ⋮ A posteriori error analysis for Schwarz overlapping domain decomposition methods ⋮ A Posteriori Analysis for Iterative Solvers for Nonautonomous Evolution Problems ⋮ A posteriori error analysis for a space‐time parallel discretization of parabolic partial differential equations ⋮ Stability and Error Estimates of Fully Discrete Schemes for the Brusselator System ⋮ A posteriori error analysis of IMEX multi-step time integration methods for advection-diffusion-reaction equations ⋮ Adaptive finite element solution of multiscale PDE-ODE systems ⋮ A Posteriori Error Analysis of Two-Stage Computation Methods with Application to Efficient Discretization and the Parareal Algorithm

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