Local error estimates of mixed discontinuous Galerkin methods for elliptic problems

Verfasser / Beitragende:
[H. Chen]
Ort, Verlag, Jahr:
2004
Enthalten in:
Journal of Numerical Mathematics, 12/1(2004-04-01), 1-21
Format:
Artikel (online)
ID: 378885618
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024 7 0 |a 10.1515/1569395041172926  |2 doi 
035 |a (NATIONALLICENCE)gruyter-10.1515/1569395041172926 
100 1 |a Chen  |D H.  |u Department of Mathematics, University of Wyoming, Laramie, WY 82070 
245 1 0 |a Local error estimates of mixed discontinuous Galerkin methods for elliptic problems  |h [Elektronische Daten]  |c [H. Chen] 
520 3 |a In this paper local error estimates for mixed discontinuous Galerkin methods including the local discontinuous Galerkin method for solving second-order elliptic problems are established. Our result shows that the errors of both the vector and scalar solutions of the mixed DG methods in a local subdomain are bounded by the local approximation properties of the finite element spaces plus the errors measured in the negative Sobolev norms in a slightly larger subdomain. 
540 |a Copyright 2004, Walter de Gruyter 
690 7 |a mixed discontinuous Galerkin method  |2 nationallicence 
690 7 |a LDG method  |2 nationallicence 
690 7 |a local error estimate  |2 nationallicence 
690 7 |a elliptic problem  |2 nationallicence 
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