Convergence analysis for a finite volume evolution Galerkin method for multidimensional hyperbolic systems
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911282389581824 |
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| author | Lukáčová-Medvidová, Mária Tang, Zhuyan Yuan, Yuhuan |
| author_facet | Lukáčová-Medvidová, Mária Tang, Zhuyan Yuan, Yuhuan |
| contents | We study the convergence of a finite volume method based on the method of bicharacteristics for multidimensional hyperbolic conservation laws. In particular, we concentrate on the linear wave equation system and nonlinear Euler equations of gas dynamics. We show the stability and the consistency of the numerical approximations. By means of the generalized Lax equivalence principle we prove the convergence of numerical solutions to the strong solution on the lifespan. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_00957 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Convergence analysis for a finite volume evolution Galerkin method for multidimensional hyperbolic systems Lukáčová-Medvidová, Mária Tang, Zhuyan Yuan, Yuhuan Numerical Analysis Analysis of PDEs We study the convergence of a finite volume method based on the method of bicharacteristics for multidimensional hyperbolic conservation laws. In particular, we concentrate on the linear wave equation system and nonlinear Euler equations of gas dynamics. We show the stability and the consistency of the numerical approximations. By means of the generalized Lax equivalence principle we prove the convergence of numerical solutions to the strong solution on the lifespan. |
| title | Convergence analysis for a finite volume evolution Galerkin method for multidimensional hyperbolic systems |
| topic | Numerical Analysis Analysis of PDEs |
| url | https://arxiv.org/abs/2511.00957 |