In this paper,a discontinuous finite element method for the positive and symmetric,first-order hyperbolic systems(steady and nonsteady state)is constructed and analyzed by using linear triangle elements,and the O(h^2)...In this paper,a discontinuous finite element method for the positive and symmetric,first-order hyperbolic systems(steady and nonsteady state)is constructed and analyzed by using linear triangle elements,and the O(h^2)-order optimal error estimates are derived under the assumption of strongly regular triangulation and the Ha-regularity for the exact solutions.The convergence analysis is based on some superclose estimates of the interpolation approximation.Finally,we discuss the Maxwell equations in a two-dimensional domain,and numerical experiments are given to validate the theoretical results.展开更多
基金suppored bythe National Natural Science Funds of China 10771031
文摘In this paper,a discontinuous finite element method for the positive and symmetric,first-order hyperbolic systems(steady and nonsteady state)is constructed and analyzed by using linear triangle elements,and the O(h^2)-order optimal error estimates are derived under the assumption of strongly regular triangulation and the Ha-regularity for the exact solutions.The convergence analysis is based on some superclose estimates of the interpolation approximation.Finally,we discuss the Maxwell equations in a two-dimensional domain,and numerical experiments are given to validate the theoretical results.
