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Parallel, adaptive finite element methods for conservation lawsWe construct parallel finite element methods for the solution of hyperbolic conservation laws in one and two dimensions. Spatial discretization is performed by a discontinuous Galerkin finite element method using a basis of piecewise Legendre polynomials. Temporal discretization utilizes a Runge-Kutta method. Dissipative fluxes and projection limiting prevent oscillations near solution discontinuities. A posteriori estimates of spatial errors are obtained by a p-refinement technique using superconvergence at Radau points. The resulting method is of high order and may be parallelized efficiently on MIMD computers. We compare results using different limiting schemes and demonstrate parallel efficiency through computations on an NCUBE/2 hypercube. We also present results using adaptive h- and p-refinement to reduce the computational cost of the method.
Document ID
19950028516
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Biswas, Rupak
(RIACS, Moffett Field, CA United States)
Devine, Karen D.
(Rensselaer Polytechnic Institute, Troy, NY, United States)
Flaherty, Joseph E.
(Rensselaer Polytechnic Institute, Troy, NY, United States)
Date Acquired
August 16, 2013
Publication Date
January 1, 1994
Publication Information
Publication: Applied Numerical Mathematics
ISSN: 0618-9274
Subject Category
Computer Programming And Software
Accession Number
95A60115
Distribution Limits
Public
Copyright
Other

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