摘要： It is proved in this paper that the approximate solution of the discontinuous Galerkin method does converge even the exact solution of the first order hyperbolic equation is discontinuous.
林群, 周爱辉. CONVERGENCE OF THE DISCONTINUOUS GALERKIN METHOD FOR A SCALAR HYPERBOLIC EQUATION[J]. 数学物理学报(英文版), 1993, 13(2): 207-210.
Lin Qun, Zhou Aihui. CONVERGENCE OF THE DISCONTINUOUS GALERKIN METHOD FOR A SCALAR HYPERBOLIC EQUATION[J]. Acta mathematica scientia,Series B, 1993, 13(2): 207-210.