On stability and accuracy of finite-volume schemes on non-uniform meshes
Abstract:
The paper studies the behavior of high-order finite-volume schemes for the 1D transport equation on non-uniform meshes. We consider finite-volume schemes with a polynomial reconstruction and schemes based on divided differences. We prove a sufficient stability condition on mildly deformed meshes and establish estimates for the solution error.
Keywords:
finite volume method, consistency and accuracy, supra-convergence, long-time simulation accuracy
Publication language:russian, pages:39
Research direction:
Mathematical problems and theory of numerical methods
