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Differentiation of finite element solutions to non-linear problems

✍ Scribed by D. Omeragic; P. P. Silvester

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
282 KB
Volume
13
Category
Article
ISSN
0894-3370

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✦ Synopsis

Two extended numerical di!erentiation methods based on Green's second identity are presented. These may be used for postprocessing approximate solutions in general material distributions, including inhomogeneous and discontinuous material characteristics. The "rst method uses a general formulation with Green's functions and extended Poisson kernels for standard domains, while the second applies Green's functions to certain restricted, analytically known con"gurations. The singularities encountered in the necessary integral kernels for second derivatives are evaluated using "nite part integration techniques. Both methods are illustrated by numerical experiments, and results are shown for di!erentiation of quasiharmonic functions in inhomogeneous domains.

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