A multiscale discontinuous Galerkin method with the computational structure of a continuous Galerkin method.

Journal Article · Tue Mar 01 04:00:00 EST 2005 · Proposed for publication in Computer Methods in Applied Mechanics and Engineering.

OSTI ID:989373

Buffa, Annalisa ^[1]; Bochev, Pavel Blagoveston; Scovazzi, Guglielmo; Hughes, Thomas J. R. ^[2]

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1. IMATI - Consiglio Nazionale delle Ricerche, Pavia, Italy
2. The University of Texas at Austin

Proliferation of degrees-of-freedom has plagued discontinuous Galerkin methodology from its inception over 30 years ago. This paper develops a new computational formulation that combines the advantages of discontinuous Galerkin methods with the data structure of their continuous Galerkin counterparts. The new method uses local, element-wise problems to project a continuous finite element space into a given discontinuous space, and then applies a discontinuous Galerkin formulation. The projection leads to parameterization of the discontinuous degrees-of-freedom by their continuous counterparts and has a variational multiscale interpretation. This significantly reduces the computational burden and, at the same time, little or no degradation of the solution occurs. In fact, the new method produces improved solutions compared with the traditional discontinuous Galerkin method in some situations.

• Research Organization: Sandia National Laboratories
• Sponsoring Organization: USDOE
• DOE Contract Number: AC04-94AL85000
• OSTI ID: 989373
• Report Number(s): SAND2005-2124J
• Journal Information: Proposed for publication in Computer Methods in Applied Mechanics and Engineering., Journal Name: Proposed for publication in Computer Methods in Applied Mechanics and Engineering. Journal Issue: 19-22 Vol. 195; ISSN 0045-7825; ISSN CMMECC
• Country of Publication: United States
• Language: English

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