Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D
Applications of Mathematics (2014)
- Volume: 59, Issue: 5, page 527-542
- ISSN: 0862-7940
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topZapletal, Jan, and Bouchala, Jiří. "Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D." Applications of Mathematics 59.5 (2014): 527-542. <http://eudml.org/doc/261985>.
@article{Zapletal2014,
abstract = {We deal with the Galerkin discretization of the boundary integral equations corresponding to problems with the Helmholtz equation in 3D. Our main result is the semi-analytic integration for the bilinear form induced by the hypersingular operator. Such computations have already been proposed for the bilinear forms induced by the single-layer and the double-layer potential operators in the monograph The Fast Solution of Boundary Integral Equations by O. Steinbach and S. Rjasanow and we base our computations on these results.},
author = {Zapletal, Jan, Bouchala, Jiří},
journal = {Applications of Mathematics},
keywords = {boundary element method; Galerkin discretization; Helmholtz equation; hypersingular boundary integral equation; boundary element method; Galerkin discretization; Helmholtz equation; hypersingular boundary integral equation; three dimensions},
language = {eng},
number = {5},
pages = {527-542},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D},
url = {http://eudml.org/doc/261985},
volume = {59},
year = {2014},
}
TY - JOUR
AU - Zapletal, Jan
AU - Bouchala, Jiří
TI - Effective semi-analytic integration for hypersingular Galerkin boundary integral equations for the Helmholtz equation in 3D
JO - Applications of Mathematics
PY - 2014
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 59
IS - 5
SP - 527
EP - 542
AB - We deal with the Galerkin discretization of the boundary integral equations corresponding to problems with the Helmholtz equation in 3D. Our main result is the semi-analytic integration for the bilinear form induced by the hypersingular operator. Such computations have already been proposed for the bilinear forms induced by the single-layer and the double-layer potential operators in the monograph The Fast Solution of Boundary Integral Equations by O. Steinbach and S. Rjasanow and we base our computations on these results.
LA - eng
KW - boundary element method; Galerkin discretization; Helmholtz equation; hypersingular boundary integral equation; boundary element method; Galerkin discretization; Helmholtz equation; hypersingular boundary integral equation; three dimensions
UR - http://eudml.org/doc/261985
ER -
References
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