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Acceleration of convergence for finite element solutions of the Poisson equation (1979)

Louis, Alfred

Springer

Numerische Mathematik 33 (1979), S. 43-53

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Details

ISSN: 0945-3245

Schlagwort(e): AMS (Mos): 65N30 ; CR: 5.17

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01396494

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