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A posteriori finite element error bounds for non-linear outputs of the Helmholtz equation

โœ Scribed by J. Sarrate; J. Peraire; A. Patera

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
451 KB
Volume
31
Category
Article
ISSN
0271-2091

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โœฆ Synopsis

A Neumann subproblem a posteriori finite element procedure for the efficient and accurate calculation of rigorous, constant-free upper and lower bounds for non-linear outputs of the Helmholtz equation in two-dimensional exterior domains is presented. The bound procedure is firstly formulated, with particular emphasis on appropriate extension to complex-valued equations; then, illustrative numerical examples for outputs, such as the intensity of the scattered wave over a small segment of the domain boundary, are provided.

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