Space-Time Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems and Compressible Flow

DOI10.1007/978-3-642-18466-6_1zbMath1317.65205OpenAlexW1548475777MaRDI QIDQ3075260

Jan Česenek, Miloslav Feistauer

Publication date: 11 February 2011

Published in: Numerical Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-18466-6_1

zbMATH Keywords

error estimatesALE methodnonlinear nonstationary convection-diffusion problemsairfoil vibrationsnumerical solution of compressible flow in time-dependent domainsspace-time discontinuous Galerkin discretization

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) 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) Compressible fluids and gas dynamics (76N99) Diffusion and convection (76R99)

Cites Work

• Unnamed Item
• Space-time discontinuous Galerkin method for solving nonstationary convection-diffusion-reaction problems.
• Discontinuous Galerkin solution of compressible flow in time-dependent domains
• Theory of the Space-Time Discontinuous Galerkin Method for Nonstationary Parabolic Problems with Nonlinear Convection and Diffusion
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Galerkin time-stepping methods for nonlinear parabolic equations
• Galerkin Finite Element Methods for Parabolic Problems

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