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Pointwise error estimates for discontinuous Galerkin methods with lifting operators for elliptic problems
Author(s):
Johnny
Guzmán.
Journal:
Math. Comp.
75
(2006),
1067-1085.
MSC (2000):
Primary 65N30, 65N15
Posted:
March 3, 2006
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Abstract:
In this article, we prove some weighted pointwise estimates for three discontinuous Galerkin methods with lifting operators appearing in their corresponding bilinear forms. We consider a Dirichlet problem with a general second-order elliptic operator.
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Additional Information:
Johnny
Guzmán
Affiliation:
Center for Applied Mathematics, Cornell University, 657 Rhodes Hall, Ithaca, New York 14853
Email:
jguzman@cam.cornell.edu
DOI:
10.1090/S0025-5718-06-01823-0
PII:
S 0025-5718(06)01823-0
Keywords:
Finite elements,
discontinuous Galerkin
Received by editor(s):
June 27, 2004
Received by editor(s) in revised form:
April 19, 2005
Posted:
March 3, 2006
Additional Notes:
The author was supported by a Ford Foundation Fellowship and a Cornell-Sloan Fellowship
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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