TY  - EJOU
AU  - Trapper, P.A.  
AU  - Bar-Yoseph, P.Z.  

TI  - Space-time Discontinuous Galerkin Method Based on a New Generalized Flux Vector Splitting Method for Multi-dimensional Nonlinear Hyperbolic Systems
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2014
VL  - 103
IS  - 1
SN  - 1526-1506

AB  - The space-time discontinuous Galerkin method for multi-dimensional nonlinear hyperbolic systems is enhanced with a generalized technique for splitting a flux vector that is not limited to the homogeneity property of the flux. This technique, based on the flux’s characteristic decomposition, extends the scope of the method’s applicability to a wider range of problems, including elastodynamics. The method is used for numerical solution of a number of representative problems based on models of vibrating string and vibrating rod that involve the propagation of a sharp front through the solution domain.
KW  - Space-Time Finite Element Method
KW  -  Discontinuous Galerkin
KW  -  Flux Vector Splitting
KW  -  Elastodynamics
KW  -  Hyperbolic Partial Differential Equations
KW  -  Eulerian Formulation

DO  - 10.3970/cmes.2014.103.019