Answers are grounded in this paper and cite their sources.
We prove convergence of the discontinuous Galerkin finite element method with polynomials of arbitrary degree q≥0 on general unstructured meshes for scalar conservation laws in multidimensions. We also prove for systems of conservation laws that limits of discontinuous Galerkin finite element solutions satisfy the entropy inequalities of the system related to convex entropies.
No takes yet. Share an insight, caveat, or question.
Jaffré et al. (1995) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: