Electronic Resource
Springer
Numerische Mathematik
33 (1979), S. 43-53
ISSN:
0945-3245
Keywords:
AMS (Mos): 65N30
;
CR: 5.17
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary Letu h be the finite element solution to−Δu=f with zero boundary conditions in a convex polyhedral domain Ω. Fromu h we calculate for eachz∈Ω and |α|≦1 an approximationu h −α (z) toD α u(z) with |D α u(z)−u h −α (z)|=O(h 2k−2) wherek is the order of the finite elements. The same superconvergence order estimates are obtained also for the boundary flux. We need not work on a regular mesh but we have to compute averages ofu h where the diameter of the domain of integration must not depend onh.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01396494
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