Tent-pitcher spacetime discontinuous Galerkin method for one-dimensional linear hyperbolic and parabolic PDEs
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Publication:6072890
DOI10.1016/j.camwa.2023.07.021OpenAlexW4385861052MaRDI QIDQ6072890
Publication date: 13 October 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2023.07.021
Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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)
Cites Work
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- Non-dissipative space-time \(hp\)-discontinuous Galerkin method for the time-dependent Maxwell equations
- Riemann solutions and spacetime discontinuous Galerkin method for linear elastodynamic contact
- Selecting the numerical flux in discontinuous Galerkin methods for diffusion problems
- Finite element methods for linear hyperbolic problems
- Fast high order ADER schemes for linear hyperbolic equations
- Analysis of space-time discontinuous Galerkin method for nonlinear convection-diffusion problems
- A space-time Trefftz discontinuous Galerkin method for the acoustic wave equation in first-order formulation
- An exactly mass conserving space-time embedded-hybridized discontinuous Galerkin method for the Navier-Stokes equations on moving domains
- Space-time discontinuous Galerkin method for advection-diffusion problems on time-dependent domains
- ADER discontinuous Galerkin schemes for aeroacoustics
- An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations
- Space-time discontinuous Galerkin method for solving nonstationary convection-diffusion-reaction problems.
- An explicit finite element method for the wave equation
- Runge--Kutta discontinuous Galerkin methods for convection-dominated problems
- ADER: A high-order approach for linear hyperbolic systems in 2D
- An asynchronous spacetime discontinuous Galerkin finite element method for time domain electromagnetics
- Dispersion and dissipation errors of two fully discrete discontinuous Galerkin methods
- A tent pitching scheme motivated by Friedrichs theory
- Trefftz-discontinuous Galerkin approach for solving elastodynamic problem
- Tent pitching and Trefftz-DG method for the acoustic wave equation
- The space-time discontinuous Galerkin method for Maxwell equations in dispersive media
- A space-time discontinuous Galerkin method for linearized elastodynamics with element-wise momentum balance
- A space-time discontinuous Galerkin method for the incompressible Navier-Stokes equations
- Dispersion and dissipation error in high-order Runge-Kutta discontinuous Galerkin discretisations of the Maxwell equations
- A spacetime discontinuous Galerkin method for scalar conservation laws
- Building blocks for arbitrary high order discontinuous Galerkin schemes
- Space-time discontinuous Galerkin method for the compressible Navier--Stokes equations
- A spacetime discontinuous Galerkin method for hyperbolic heat conduction
- Strong Stability-Preserving High-Order Time Discretization Methods
- Theory of the Space-Time Discontinuous Galerkin Method for Nonstationary Parabolic Problems with Nonlinear Convection and Diffusion
- An h-adaptive spacetime-discontinuous Galerkin method for linear elastodynamics
- Sub‐cell shock capturing and spacetime discontinuity tracking for nonlinear conservation laws
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- A high-order discontinuous Galerkin method with time-accurate local time stepping for the Maxwell equations
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Explicit Finite Element Methods for Symmetric Hyperbolic Equations
- Space–time Trefftz-DG approximation for elasto-acoustics
- Convergence analysis of some tent-based schemes for linear hyperbolic systems
- Spacetime meshing with adaptive refinement and coarsening
- Modeling Evolving Discontinuities with Spacetime Discontinuous Galerkin Methods
- Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent Developments
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