Robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation

From MaRDI portal
Publication:1377026

DOI10.1007/s002110050322zbMath0887.65108OpenAlexW2065235045MaRDI QIDQ1377026

Rüdiger Verfürth

Publication date: 1 February 1998

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050322




Related Items (58)

Local adaptive methods for convection dominated problemsA POSTERIORI ERROR ESTIMATES FOR THE FOKKER–PLANCK AND FERMI PENCIL BEAM EQUATIONSMaximum-norm a posteriori error estimates for singularly perturbed elliptic reaction-diffusion problemsAn $hp$-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problemsOptimal convergence of finite element approximation to an optimization problem with PDE constraint*An adaptive stabilized finite element scheme for a water quality modelA posteriori error estimation based on conservative flux reconstruction for nonconforming finite element approximations to a singularly perturbed reaction-diffusion problem on anisotropic meshesAdaptive finite element approximation for steady-state Poisson-Nernst-Planck equationsRobust error bounds for finite element approximation of reaction-diffusion problems with non-constant reaction coefficient in arbitrary space dimensionBattling Gibbs phenomenon: on finite element approximations of discontinuous solutions of PDEsEnergy-norm a posteriori error estimates for singularly perturbed reaction-diffusion problems on anisotropic meshesA posteriori error estimates for mixed finite element discretizations of the Neutron Diffusion equationsPointwise A Posteriori Error Estimates for Discontinuous Galerkin Methods for Singularly Perturbed Reaction-Diffusion EquationsA brief survey on numerical methods for solving singularly perturbed problemsRobust a posteriori error estimates for conforming discretizations of a singularly perturbed reaction-diffusion problem on anisotropic meshesResidual-based a posteriori error estimates for a nonconforming finite element discretization of the Stokes-Darcy coupled problem: isotropic discretizationA posteriori error estimation of residual type for anisotropic diffusion-convection-reaction problemsA Dual Finite Element Method for a Singularly Perturbed Reaction-Diffusion ProblemA posteriori error estimates for a dual finite element method for singularly perturbed reaction-diffusion problemsDecay rates of adaptive finite elements with Dörfler markingAn a posteriori error estimator for the spectral fractional power of the LaplacianFully computable robust a posteriori error bounds for singularly perturbed reaction-diffusion problemsAn h p -adaptive Newton-Galerkin finite element procedure for semilinear boundary value problemsSome aspects of adaptive grid technology related to boundary and interior layers.A posteriori error estimates for finite volume approximations of elliptic equations on general surfacesGlobal uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Higher-order elementsPrimal-Dual Reduced Basis Methods for Convex Minimization Variational Problems: Robust True Solution a Posteriori Error Certification and Adaptive Greedy AlgorithmsA priori and a posteriori error analysis for a family of Reissner-Mindlin plate elementsA simple approach to reliable and robust a posteriori error estimation for singularly perturbed problemsAdaptation in coupled problemsConvergence and superconvergence analysis of finite element methods on highly nonuniform anisotropic meshes for singularly perturbed reaction-diffusion problemsAdaptive double-diffusion model and comparison to a highly heterogeneous micro-modelAn adaptive stabilized finite element scheme for the advection-reaction-diffusion equationResidual-based a posteriori error estimate for a mixed Reißner-Mindlin plate finite element methodRobust a-posteriori estimator for advection-diffusion-reaction problemsResidual error estimators for the time-dependent Stokes equationsAn error indicator monitor function for an \(r\)-adaptive finite-element methodA posteriori error estimation for the semidiscrete finite element method of parabolic differential equationsRobust local problem error estimation for a singularly perturbed problem on anisotropic finite element meshesMesh refinement strategies for solving singularly perturbed reaction-diffusion problemsA posteriori error estimates for nonlinear problems:Lr, (0,T;W1,ρ (Ω))-error estimates for finite element discretizations of parabolic equationsFunctional a posteriori estimates for the reaction-diffusion problemIterative Galerkin discretizations for strongly monotone problemsAn arbitrary order uniformly convergent finite element method for singular perturbation problemsA residual based a posteriori estimator for the reaction-diffusion problemIdentification and a posteriori estimation of transported errors in finite element analysisGuaranteed and robusta posteriorierror estimates for singularly perturbed reaction–diffusion problemsOptimal uniform convergence analysis for a singularly perturbed quasilinear reaction–diffusion problemRobust a posteriori error estimation for the Maxwell equationsA posteriori error estimator for finite volume methodsSimple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction–diffusion problemsA posteriori \(L^2\)-error estimates for the nonconforming \(P_1/P_0\)-finite element discretization of the Stokes equationsThe uniform saturation property for a singularly perturbed reaction-diffusion equationThe error estimates of spectral methods for 1-dimension singularly perturbed problemA Posteriori Estimator for the Adaptive Solution of a Quasi-Static Fracture Phase-Field Model with Irreversibility ConstraintsFully Adaptive Newton--Galerkin Methods for Semilinear Elliptic Partial Differential EquationsGuaranteed a posteriori error estimates for nonconforming finite element approximations to a singularly perturbed reaction-diffusion problemUniform convergence of discontinuous finite element methods for singularly perturbed reaction-diffusion problems




This page was built for publication: Robust a posteriori error estimators for a singularly perturbed reaction-diffusion equation