Bubble stabilized discontinuous Galerkin method for parabolic and elliptic problems

DOI10.1007/S00211-010-0304-9zbMath1207.65135OpenAlexW2104909538WikidataQ60146782 ScholiaQ60146782MaRDI QIDQ993377

Benjamin Stamm, Erik Burman

Publication date: 10 September 2010

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

Full work available at URL: https://infoscience.epfl.ch/record/118708/files/parabolic.pdf

zbMATH Keywords

stabilityconvergencenumerical resultsfinite element methodfinite differencesdiscontinuous Galerkin methodelliptic problemparabolic problemCrank-Nicolson discretizationbackward Euler

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (3)

Hermite analogs of the lowest order Raviart-Thomas mixed method for convection-diffusion equations ⋮ Bubble stabilized discontinuous Galerkin methods on conforming and non-conforming meshes ⋮ A posteriori estimates for the bubble stabilized discontinuous Galerkin method

Cites Work

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