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The double layer potential operator over polyhedral domains i: solvability in weighted sobolev spaces

โœ Scribed by Elschner, Johannes


Book ID
118188506
Publisher
Taylor and Francis Group
Year
1992
Tongue
English
Weight
670 KB
Volume
45
Category
Article
ISSN
0003-6811

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The double-layer potential operator over
โœ Johannes Elschner ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 752 KB

## Abstract We examine the numerical approximation of the integral equation (ฮป โˆ’ __K__)__u__ =__f__, where __K__ is the double layer (harmonic) potential operator on a closed polyhedral surface in โ„^3^ and ฮป, โˆฃฮปโˆฃโ‰ฅ1, is a complex constant. The solution is approximated by Galerkin's method, which is