Analysis of an Upwind-Mixed Hybrid Finite Element Method for Transport Problems

DOI10.1137/130908191zbMath1306.65261OpenAlexW2087636955MaRDI QIDQ5415981

Peter Knabner, Fabian Brunner, Florin Adrian Radu

Publication date: 19 May 2014

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/130908191

zbMATH Keywords

convergenceweak solutionmixed finite element methoda priori error estimatesnumerical resultRaviart-Thomas mixed finite elementupwind weightingadvection dominancelinear parabolic advection-diffusion-reaction problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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