An adaptive SUPG method for evolutionary convection-diffusion equations

DOI10.1016/j.cma.2014.01.022zbMath1296.76090OpenAlexW1982117438MaRDI QIDQ459136

Volker John, Bosco García-Archilla, Javier de Frutos, Julia Novo

Publication date: 8 October 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.2014.01.022

zbMATH Keywords

adaptive grid generationeffectivity indexevolutionary convection-diffusion-reaction equationsresidual-based a posteriori error estimatorsstreamline upwind Petrov-Galerkin (SUPG) method

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (13)

Finite difference approximations of multidimensional convection-diffusion-reaction problems with small diffusion on a special grid ⋮ Numerical Solution of Two-Dimensional Advection–Diffusion Equation Using Generalized Integral Representation Method ⋮ A Local Meshless Method for Steady State Convection Dominated Flows ⋮ Error analysis of a SUPG-stabilized POD-ROM method for convection-diffusion-reaction equations ⋮ SUPG-YZβcomputation of chemically reactive convection-dominated nonlinear models ⋮ Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story? ⋮ High-order weighted compact nonlinear scheme for solving degenerate parabolic equations ⋮ Artificial neural network-augmented stabilized finite element method ⋮ ALE-SUPG finite element method for convection-diffusion problems in time-dependent domains: conservative form ⋮ AIR Algebraic Multigrid for a Space-Time Hybridizable Discontinuous Galerkin Discretization of Advection(-Diffusion) ⋮ Finite difference approximations of multidimensional unsteady convection-diffusion-reaction equations ⋮ An enriched Galerkin-characteristics finite element method for convection-dominated and transport problems ⋮ Adaptive time step control for higher order variational time discretizations applied to convection-diffusion-reaction equations

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