Efficient numerical realization of discontinuous Galerkin methods for temporal discretization of parabolic problems
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Publication:1950449
DOI10.1007/s00211-012-0511-7zbMath1268.65138OpenAlexW2070144563MaRDI QIDQ1950449
Thomas Richter, Andreas Springer, Boris Vexler
Publication date: 13 May 2013
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-012-0511-7
Newton's methodnumerical examplesdiscontinuous Galerkin methodtemporal discretizationparabolic problem
Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (12)
Fast Solution of Fully Implicit Runge--Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part I: the Linear Setting ⋮ Fast Solution of Fully Implicit Runge--Kutta and Discontinuous Galerkin in Time for Numerical PDEs, Part II: Nonlinearities and DAEs ⋮ An \textit{a priori} error estimate for a temporally discontinuous Galerkin space-time finite element method for linear elasto- and visco-dynamics ⋮ Error profile for discontinuous Galerkin time stepping of parabolic PDEs ⋮ An experimental comparison of a space-time multigrid method with PFASST for a reaction-diffusion problem ⋮ Discrete maximal parabolic regularity for Galerkin finite element methods ⋮ Variational time discretization methods for optimal control problems governed by diffusion-convection-reaction equations ⋮ Space-Time Discontinuous Galerkin Methods for Optimal Control Problems Governed by Time Dependent Diffusion-Convection-Reaction Equations ⋮ Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems ⋮ Discontinuous Galerkin method in time combined with a stabilized finite element method in space for linear first-order PDEs ⋮ Efficient preconditioning of variational time discretization methods for parabolic Partial Differential Equations ⋮ Symmetric error estimates for discontinuous Galerkin time-stepping schemes for optimal control problems constrained to evolutionary Stokes equations
Uses Software
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