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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We present a new space-time discontinuous Galerkin (DG) method for solving the time dependent, positive symmetric hyperbolic systems. The main feature of this DG method is that the discrete equa- tions can be solved semi-explicitly, layer by layer, in time direction. For the partition made of triangle or rectangular meshes, we give the stability analysis of this DG method and derive the optimal error estimates in the DG-norm which is stronger than the L₂-norm. As application, the wave equation is considered and some numerical experiments are provided to illustrate the validity of this DG method.
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참고문헌 (14)
참고문헌 신청
A. Ern / 2006 / Discontinuous Galerkin methods for Friedrichs' systems / I. general theory, SIAM J. Numer. Anal 44 (2) : 753 ~ 778
B. Cockburn / 2000 / Discontinuous Galerkin Methods, Theory, Computation and Applications / Springer-Verlag
B. Cockburn / 2001 / Runge-Kutta discontinuous Galerkin methods for convection-dominated problems (review article) / J. Sci. Compu 16 (3) : 173 ~ 261
B. Cockburn / 2008 / Optimal convergence of the original DG method for the transport-reaction equation on special meshes / SIAM J. Numer. Anal 46 (3) : 1250 ~ 1265
C. Johnson / 1984 / Finite element methods for linear hyperbolic problems / Comput. Methods Appl. Mech. Engrg 45 (1-3) : 285 ~ 312
B. Cockburn / 2000 / Discontinuous Galerkin Methods, Theory, Computation and Applications / Springer-Verlag
B. Cockburn / 2001 / Runge-Kutta discontinuous Galerkin methods for convection-dominated problems (review article) / J. Sci. Compu 16 (3) : 173 ~ 261
B. Cockburn / 2008 / Optimal convergence of the original DG method for the transport-reaction equation on special meshes / SIAM J. Numer. Anal 46 (3) : 1250 ~ 1265
C. Johnson / 1984 / Finite element methods for linear hyperbolic problems / Comput. Methods Appl. Mech. Engrg 45 (1-3) : 285 ~ 312
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