A tent pitching scheme motivated by Friedrichs theory
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Publication:2006255
DOI10.1016/j.camwa.2015.07.001zbMath1443.65172arXiv1502.05369OpenAlexW1939803700MaRDI QIDQ2006255
Paulina Sepúlveda, Jay Gopalakrishnan, Peter B. Monk
Publication date: 8 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1502.05369
Related Items
Peter Monk's contributions to numerical analysis and Maxwell's equations ⋮ Trefftz discontinuous Galerkin basis functions for a class of Friedrichs systems coming from linear transport ⋮ Tent-pitcher spacetime discontinuous Galerkin method for one-dimensional linear hyperbolic and parabolic PDEs ⋮ Tent pitching and Trefftz-DG method for the acoustic wave equation ⋮ Mapped Tent Pitching Schemes for Hyperbolic Systems ⋮ Adaptive stabilized finite elements via residual minimization onto bubble enrichments ⋮ The DPG method for the convection-reaction problem, revisited ⋮ A cVEM-DG space-time method for the dissipative wave equation ⋮ On the stability of DPG formulations of transport equations ⋮ On the space-time discretization of variational retarded potential boundary integral equations ⋮ Explicit-in-time goal-oriented adaptivity ⋮ A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation ⋮ The discrete-dual minimal-residual method (DDMRES) for weak advection-reaction problems in Banach spaces
Cites Work
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- A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media
- An explicit finite element method for the wave equation
- Perturbation theory for linear operators.
- A spacetime discontinuous Galerkin method for scalar conservation laws
- A spacetime discontinuous Galerkin method for hyperbolic heat conduction
- A Unified Discontinuous Petrov--Galerkin Method and Its Analysis for Friedrichs' Systems
- Robust operator estimates and the application to substructuring methods for first-order systems
- PITCHING TENTS IN SPACE-TIME: MESH GENERATION FOR DISCONTINUOUS GALERKIN METHOD
- Symmetric positive linear differential equations
- An Intrinsic Criterion for the Bijectivity of Hilbert Operators Related to Friedrich' Systems
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- Triangular and tetrahedral space-time finite elements in vibration analysis
- Explicit Finite Element Methods for Symmetric Hyperbolic Equations
- Finite Volume Methods for Hyperbolic Problems
- Intrinsic Boundary Conditions for Friedrichs Systems
- High Order Difference Methods for Time Dependent PDE
- Discontinuous Galerkin Methods for Friedrichs’ Systems. Part II. Second‐order Elliptic PDEs
- Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory
- A general theory of finite elements. II. Applications
