High order DG-DGLM method for hyperbolic conservation laws

摘要

A high order discontinuous Galerkin method in time combined with discontinuous Galerkin method with Lagrange multiplier (DGLM) (Kim, 2015)[4] in space is proposed to approximate the solution to hyperbolic conservation laws with boundary conditions. Stability of the approximate solution is proved in a broken L-2(L-2) norm and also in an l(infinity)(L-2) norm.