Tent pitching and Trefftz-DG method for the acoustic wave equation
DOI10.1016/j.camwa.2020.01.006zbMath1447.65087arXiv1907.02367OpenAlexW3001250019WikidataQ126291919 ScholiaQ126291919MaRDI QIDQ2192487
Paul Stocker, Christoph M. Wintersteiger, Joachim Schöberl, Ilaria Perugia
Publication date: 17 August 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.02367
Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Rate of convergence, degree of approximation (41A25)
Related Items (18)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems
- Non-dissipative space-time \(hp\)-discontinuous Galerkin method for the time-dependent Maxwell equations
- Variational space-time methods for the wave equation
- A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media
- Transparent boundary conditions for a discontinuous Galerkin Trefftz method
- A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation
- An explicit finite element method for the wave equation
- Space-time finite element methods for elastodynamics: Formulations and error estimates
- High-order explicit local time-stepping methods for damped wave equations
- A tent pitching scheme motivated by Friedrichs theory
- A stabilized space-time finite element method for the wave equation
- Adaptive Galerkin finite element methods for the wave equation
- A Space-Time Discontinuous Galerkin Trefftz Method for Time Dependent Maxwell's Equations
- A Trefftz Polynomial Space-Time Discontinuous Galerkin Method for the Second Order Wave Equation
- PITCHING TENTS IN SPACE-TIME: MESH GENERATION FOR DISCONTINUOUS GALERKIN METHOD
- Explicit Finite Element Methods for Symmetric Hyperbolic Equations
- Mapped Tent Pitching Schemes for Hyperbolic Systems
- Convergence Analysis of Energy Conserving Explicit Local Time-Stepping Methods for the Wave Equation
- A priorierror analysis of space–time Trefftz discontinuous Galerkin methods for wave problems
This page was built for publication: Tent pitching and Trefftz-DG method for the acoustic wave equation