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On Integral Equations for Wave Diffraction Problems
Author(s) -
Umek A.
Publication year - 1996
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19960760306
Subject(s) - mathematical analysis , integral equation , simple (philosophy) , partial differential equation , mathematics , diffraction , harmonic , boundary (topology) , physics , optics , philosophy , epistemology , quantum mechanics
The conditions, under which the partial differential equations of the linear, time harmonic elastodynamics can be replaced by the corresponding boundary integral equation, are investigated. It is found by an example that this is the case, whenever the domains are normal in the simple or extended sense. Further, a counter‐example known in the literature is examined and is proven to be erroneous, thus corroborating our findings.