Superconvergence of the local discontinuous Galerkin method applied to diffusion problems

3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

Volumn , Issue , 2005, Pages 1040-1043

  Adjerid, S ^a   Issaev, D ^a  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Diffusion problems; Discontinuous Galerkin; Finite elements; Superconvergence

Indexed keywords

DIFFUSION PROBLEMS; DISCONTINUOUS FINITE ELEMENT; DISCONTINUOUS GALERKIN; FINITE ELEMENT; LOCAL DISCONTINUOUS GALERKIN METHOD; NUMERICAL FLUX; RADAU POLYNOMIALS; SUPER-CONVERGENCE; SUPERCONVERGENT; TRANSIENT DIFFUSION;

COMPUTATIONAL FLUID DYNAMICS; COMPUTATIONAL MECHANICS; DIFFUSION; NUMERICAL METHODS; POLYNOMIALS;

GALERKIN METHODS;

EID: 77649106663     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (9)

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4. Adjerid S., Massey TC. Superconvergence of discontinuous finite element solutions for nonlinear hyperbolic problems, Submitted, 2003.
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6. Adjerid, S. Klauser A. Superconvergence of discontinuous finite element solutions for transient convection-diffusion problems. J of Sci Comp 2005; (to appear).
7. Cockburn B, Shu CW. The local discontinuous Galerkin finite element method for convection-diffusion systems, SIAM Journal on Numerical Analysis 1998;35:2440-2463.
8. Castillo P, Cockburn B, Perugia I, Schotzau D. An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. SIAM Journal on Numerical Analysis 2000;38:1676-1706.
9. Castillo PE. Discontinuous Galerkin methods for convection- diffusion and elliptic problems, PhD thesis, University of Minnesota 2002.