Convergence of higer order finite volume schemes on irregular grids
This paper proves a convergence theorem for a family of finite volume schemes for systems of conservation laws in several spatial dimensions without the usual constraint that the grids be nearly cubical. The proof is based on the method of \textit{R. J. DiPerna} [Arch. Ration. Mech. Anal. 88, 223-270 (1985; Zbl 0616.35055)]. It is shown that the convergence theorem applies to variants of the MUSCL, ENO, and discontinuous Galerkin methods.
scientific article; zbMATH DE number 803473
scientific article