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On the Numerical Solution of the Dirichlet Problem for a Region of General Shape

✍ Scribed by Swarztrauber, Paul N.

Book ID: 118181821
Publisher: Society for Industrial and Applied Mathematics
Year: 1972
Tongue: English
Weight: 621 KB
Volume: 9
Category: Article
ISSN: 0036-1429
DOI: 10.1137/0709029

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## Abstract For an arbitrary differential operator __P__ of order __p__ on an open set __X__ ⊂ R^n^, the Laplacian is defined by Δ = __P__\*__P__. It is an elliptic differential operator of order __2p__ provided the symbol mapping of __P__ is injective. Let __O__ be a relatively compact domain in _