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1995•International Journal for Numerical Methods in EngineeringRequires access

hp‐version discontinuous Galerkin methods for hyperbolic conservation laws: A parallel adaptive strategy

Kim S. Bey, Abani Patra, J. Tinsley Oden

Open publisher page 48 citations

Abstract

Abstract This paper describes a parallel algorithm based on discontinuous hp‐finite element approximations of linear, scalar, hyperbolic conservation laws. The paper focuses on the development of an effective parallel adaptive strategy for such problems. Numerical experiments suggest that these techniques are highly parallelizable and exponentially convergent, thereby yielding efficiency many times superior to conventional schemes for hyperbolic problems.

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What this paper is about

Abstract This paper describes a parallel algorithm based on discontinuous hp‐finite element approximations of linear, scalar, hyperbolic conservation laws. The paper focuses on the development of an effective parallel adaptive strategy for such problems. Numerical experiments suggest that these techniques are highly parallelizable and exponentially convergent, thereby yielding efficiency many times superior to conventional schemes for hyperbolic problems.

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Available abstract

Abstract This paper describes a parallel algorithm based on discontinuous hp‐finite element approximations of linear, scalar, hyperbolic conservation laws. The paper focuses on the development of an effective parallel adaptive strategy for such problems. Numerical experiments suggest that these techniques are highly parallelizable and exponentially convergent, thereby yielding efficiency many times superior to conventional schemes for hyperbolic problems.

Key concepts: Conservation law, Discontinuous Galerkin method, Galerkin method, Mathematics, Applied mathematics, Computer science, Mathematical optimization, Finite element method

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