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arXiv · 2511.00957

Convergence analysis for a finite volume evolution Galerkin method for multidimensional hyperbolic systems

Mária Lukáčová-Medvidová·Zhuyan Tang·Yuhuan Yuan
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Abstract

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.

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Mária Lukáčová-Medvidová, Zhuyan Tang, Yuhuan Yuan. 2025-11-02. Convergence analysis for a finite volume evolution Galerkin method for multidimensional hyperbolic systems. https://arxiv.org/abs/2511.00957

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