PPPS-2013: Energy conserving numerical schemes for Vlasov-Ampere and Vlasov-Maxwell systems

Abstract

We develop energy conserving schemes for Vlasov-Ampere and Vlasov-Maxwell systems. The proposed methods preserve the total energy of the system on the fully discrete level, and they have a systematic framework to incorporate explicit and implicit temporal discretizations. The discontinuous Galerkin methods with suitable numerical fluxes are used to guarantee such properties, and they could be designed with potential implementations on unstructured meshes. Benchmark numerical test results will be provided.