Abstract of the PhD thesis: ``\(hp\)-DGFEM for parabolic evolution problems -- applications to diffusion and viscous incompressible fluid flow

DOI10.1007/S100920050004zbMath0978.76053OpenAlexW2055660774MaRDI QIDQ1570404

Dominik Schötzau

Publication date: 31 January 2002

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s100920050004

zbMATH Keywords

diffusionStokes flow\(hp\)-finite element methodparabolic problemsstabilized \(hp\)-finite element methodstable \(hp\)-finite element metod

Mathematics Subject Classification ID

Diffusion (76R50) Stokes and related (Oseen, etc.) flows (76D07) 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) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)

Related Items (7)

Nodal superconvergence of the local discontinuous Galerkin method for singularly perturbed problems ⋮ Boundary-conforming discontinuous Galerkin methods via extensions from subdomains ⋮ Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems ⋮ Mixed spectral/\(hp\) element formulation for nonlinear elasticity ⋮ On the stability of the ALE space-time discontinuous Galerkin method for nonlinear convection-diffusion problems in time-dependent domains. ⋮ A tensor decomposition algorithm for large ODEs with conservation laws ⋮ Superconvergence of the numerical traces of discontinuous Galerkin and Hybridized methods for convection-diffusion problems in one space dimension

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