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The Essential Spectrum of a Non-Elliptic Boundary Value Problem

✍ Scribed by Heinz Langer; Manfred Möller

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
588 KB
Volume
178
Category
Article
ISSN
0025-584X

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✦ Synopsis

In this note a matrix partial differential operator is considered. It is shown that under certain conditions it defines a closed operator with nonempty resolvent set, and its essential spectrum is determined. In the symmetric case G. D. RAIKOV obtained earlier corresponding results (under slightly different assumptions) for the Friedrichs extension of the operator.

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Parallelization of the algebraic fictitious domain method is considered for solving Neumann boundary value problems with variable coefficients. The resulting method is applied to the parallel solution of the subsonic full potential flow problem which is linearized by the Newton method. Good scalabil