A high-order space-time ultra-weak discontinuous Galerkin method for the second-order wave equation in one space dimension
DOI10.1016/j.cam.2020.113331zbMath1457.65094OpenAlexW3116871907MaRDI QIDQ2226265
Mahboub Baccouch, Helmi Temimi
Publication date: 11 February 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2020.113331
convergencesecond-order wave equationa priori error estimationultra-weak discontinuous Galerkin methodspace-time scheme
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Second-order hyperbolic equations (35L10) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
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Cites Work
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- A local discontinuous Galerkin method for the second-order wave equation
- Optimal error estimates for the fully discrete interior penalty DG method for the wave equation
- A discontinuous Galerkin method for the wave equation
- A discontinuous Galerkin method for higher-order ordinary differential equations
- TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. III: One-dimensional systems
- A discontinuous \(hp\) finite element method for convection-diffusion problems
- Discontinuous Galerkin finite element methods for second order hyperbolic problems
- A superconvergent local discontinuous Galerkin method for the second-order wave equation on Cartesian grids
- High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments
- An ultra-weak discontinuous Galerkin method for Schrödinger equation in one dimension
- The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws
- Asymptotically exact a posteriori local discontinuous Galerkin error estimates for the one-dimensional second-order wave equation
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- An Interior Penalty Finite Element Method with Discontinuous Elements
- An Elliptic Collocation-Finite Element Method with Interior Penalties
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- A continuous space-time finite element method for the wave equation
- The Direct Discontinuous Galerkin (DDG) Methods for Diffusion Problems
- Optimal Superconvergence of Energy Conserving Local Discontinuous Galerkin Methods for Wave Equations
- Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent Developments
- Superconvergence of the local discontinuous galerkin method applied to the one‐dimensional second‐order wave equation
- Discontinuous Galerkin Finite Element Method for the Wave Equation
- A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives
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