TY - JOUR
T1 - The runge-kuttal ocal projection discontinuous galerkin finite element method for conservation laws iv
T2 - The multidimensional case
AU - Cockburn, Bernardo
AU - Hou, Suchung
AU - Shu, Chi Wang
PY - 1990/4
Y1 - 1990/4
N2 - In this paper we study the two-dimensional version of the Runge- Kutta Local Projection Discontinuous Galerkin (RKDG) methods, already defined and analyzed in the one-dimensional case. These schemes are defined on general triangulations. They can easily handle the boundary conditions, verify maximum principles, and are formally uniformly high-order accurate. Preliminary numerical results showing the performance of the schemes on a variety of initial-boundary value problems are shown.
AB - In this paper we study the two-dimensional version of the Runge- Kutta Local Projection Discontinuous Galerkin (RKDG) methods, already defined and analyzed in the one-dimensional case. These schemes are defined on general triangulations. They can easily handle the boundary conditions, verify maximum principles, and are formally uniformly high-order accurate. Preliminary numerical results showing the performance of the schemes on a variety of initial-boundary value problems are shown.
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U2 - 10.1090/S0025-5718-1990-1010597-0
DO - 10.1090/S0025-5718-1990-1010597-0
M3 - Article
AN - SCOPUS:84966261380
SN - 0025-5718
VL - 54
SP - 545
EP - 581
JO - Mathematics of Computation
JF - Mathematics of Computation
IS - 190
ER -