A Space-Time Adaptive Finite Element Algorithm Based on Dual Weighted Residual Methodology for Parabolic Equations

DOI10.1137/070698853zbMath1200.65079OpenAlexW1968305688MaRDI QIDQ3162107

Publication date: 19 October 2010

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070698853

zbMATH Keywords

algorithm semilinear parabolic problems finite elements numerical examples error control dual weighted residual method unstructured triangular meshes time-space goal oriented adaptivity

Mathematics Subject Classification ID

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) Semilinear parabolic equations (35K58)

Related Items (8)

Analysis of output-based error estimation for finite element methods ⋮ An adjoint-based adaptive error approximation of functionals by the hybridizable discontinuous Galerkin method for second-order elliptic equations ⋮ Adaptive higher-order finite element methods for transient PDE problems based on embedded higher-order implicit Runge-Kutta methods ⋮ Building a certified reduced basis for coupled thermo-hydro-mechanical systems with goal-oriented error estimation ⋮ An anisotropic, fully adaptive algorithm for the solution of convection-dominated equations with semi-Lagrangian schemes ⋮ A Posteriori Error Estimation and Adaptivity for Nonlinear Parabolic Equations using IMEX-Galerkin Discretization of Primal and Dual Equations ⋮ A local anisotropic adaptive algorithm for the solution of low-Mach transient combustion problems ⋮ Goal-oriented error estimation for Cahn-Hilliard models of binary phase transition

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