ISSN:
1573-1499
Keywords:
discontinuous spaces
;
elliptic equations
;
error estimates
;
constrained spaces
Source:
Springer Online Journal Archives 1860-2000
Topics:
Geosciences
,
Computer Science
Notes:
Abstract Three Galerkin methods using discontinuous approximation spaces are introduced to solve elliptic problems. The underlying bilinear form for all three methods is the same and is nonsymmetric. In one case, a penalty is added to the form and in another, a constraint on jumps on each face of the triangulation. All three methods are locally conservative and the third one is not restricted. Optimal a priori hp error estimates are derived for all three procedures.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1011591328604
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