A theoretical analysis of a new second order finite volume approximation based on a low-order scheme using general admissible spatial meshes for the one dimensional wave equation
DOI10.1016/j.jmaa.2014.08.024zbMath1310.65099OpenAlexW2318566309MaRDI QIDQ458306
Publication date: 7 October 2014
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.08.024
wave equationsecond order approximationadmissible finite volume meshfully discretization schemeone dimensional spatial domainsecond order hyperbolic equations
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A theoretical analysis of a new second order finite volume approximation based on a low-order scheme using general admissible spatial meshes for the one dimensional wave equation
- Optimal error estimates for the fully discrete interior penalty DG method for the wave equation
- \(H^1\)-super-convergence of center finite difference method based on \(P_1\)-element for the elliptic equation
- Improved convergence order for finite volume solutions. II: 2D problems
- An explicit second order spectral element method for acoustic waves
- Approximation of acoustic waves by explicit Newmark's schemes and spectral element methods
- Convergence analysis of some high-order time accurate schemes for a finite volume method for second order hyperbolic equations on general nonconforming multidimensional spatial meshes
- Some Abstract Error Estimates of a Finite Volume Scheme for the Wave Equation on General Nonconforming Multidimensional Spatial Meshes
- A Note on a New Second Order Approximation Based on a Low–Order Finite Volume Scheme for the Wave Equation in One Space Dimension
- Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
- Error Estimates for Finite Element Approximations of a Viscous Wave Equation
- A space-time discontinuous Galerkin method for the solution of the wave equation in the time domain
- Construction Analysis of Fourth-Order Finite Difference Schemes for the Acoustic Wave Equation in Nonhomogeneous Media
- A theoretical analysis of a new finite volume scheme for second order hyperbolic equations on general nonconforming multidimensional spatial meshes
- H<sup>1</sup>-Stability and Convergence of the FE, FV and FD Methods for an Elliptic Equation
- Some improvements in the use of relaxation methods for the solution of ordinary and partial differential equations
This page was built for publication: A theoretical analysis of a new second order finite volume approximation based on a low-order scheme using general admissible spatial meshes for the one dimensional wave equation