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The Order Completion Method for Systems of Nonlinear PDEs Revisited

✍ Scribed by Jan Harm van der Walt

Publisher: Springer Netherlands
Year: 2008
Tongue: English
Weight: 536 KB
Volume: 106
Category: Article
ISSN: 0167-8019
DOI: 10.1007/s10440-008-9287-2

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## 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 whi