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Finite element methods for nonlinear elliptic systems of second order

✍ Scribed by Manfred Dobrowolski; Rolf Rannacher

Publisher
John Wiley and Sons
Year
1980
Tongue
English
Weight
818 KB
Volume
94
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

This paper deals with the finite element displacement method for approximating isolated solutions of general quasilinear elliptic systems. Under minimal assumptions on the structure of the continuous problems it is shown that the discrete analogues also have locally unique solutions which converge with quasi‐optimal rates in L~2~ and L∞. The essential tools of the proof are a deformation argument and a technique using weighted L~2~‐norms.

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