Error profile for discontinuous Galerkin time stepping of parabolic PDEs
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Publication:2700015
DOI10.1007/s11075-022-01410-yOpenAlexW4303183045MaRDI QIDQ2700015
Kassem Mustapha, William McLean
Publication date: 20 April 2023
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.03846
Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions to abstract evolution equations (65J08)
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- Discrete maximal parabolic regularity for Galerkin finite element methods
- Galerkin and Runge-Kutta methods: unified formulation, a posteriori error estimates and nodal superconvergence
- Asymptotically exact a posteriori error estimates for a one-dimensional linear hyperbolic problem
- A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems
- Efficient numerical realization of discontinuous Galerkin methods for temporal discretization of parabolic problems
- A posteriori error analysis for higher order dissipative methods for evolution problems
- Third order convergent time discretization for parabolic optimal control problems with control constraints
- Parabolic and hyperbolic contours for computing the Bromwich integral
- Time discretization of parabolic problems by the discontinuous Galerkin method
- Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method
- The Variable-Order Discontinuous Galerkin Time Stepping Scheme for Parabolic Evolution Problems is Uniformly $L^\infty$-Stable
- Variational analysis of the discontinuous Galerkin time-stepping method for parabolic equations
- IMPLEMENTATION OF HIGH-ORDER, DISCONTINUOUS GALERKIN TIME STEPPING FOR FRACTIONAL DIFFUSION PROBLEMS
- Error Estimates for the Discontinuous Galerkin Methods for Parabolic Equations
- Galerkin Finite Element Methods for Parabolic Problems
