TY - JOUR
T1 - Fast multipole boundary element method for the Laplace equation in a locally perturbed half-plane with a Robin boundary condition
AU - Pérez-Arancibia, Carlos
AU - Ramaciotti, Pedro
AU - Hein, Ricardo
AU - Durán, Mario
N1 - Funding Information:
Pedro Ramaciotti was supported by the program MECE Educación Superior (2) PUC0710.
PY - 2012/8/1
Y1 - 2012/8/1
N2 - A fast multipole boundary element method (FM-BEM) for solving large-scale potential problems ruled by the Laplace equation in a locally-perturbed 2-D half-plane with a Robin boundary condition is developed in this paper. These problems arise in a wide gamut of applications, being the most relevant one the scattering of water-waves by floating and submerged bodies in water of infinite depth. The method is based on a multipole expansion of an explicit representation of the associated Green's function, which depends on a combination of complex-valued exponential integrals and elementary functions. The resulting method exhibits a computational performance and memory requirements similar to the classic FM-BEM for full-plane potential problems. Numerical examples demonstrate the accuracy and efficiency of the method.
AB - A fast multipole boundary element method (FM-BEM) for solving large-scale potential problems ruled by the Laplace equation in a locally-perturbed 2-D half-plane with a Robin boundary condition is developed in this paper. These problems arise in a wide gamut of applications, being the most relevant one the scattering of water-waves by floating and submerged bodies in water of infinite depth. The method is based on a multipole expansion of an explicit representation of the associated Green's function, which depends on a combination of complex-valued exponential integrals and elementary functions. The resulting method exhibits a computational performance and memory requirements similar to the classic FM-BEM for full-plane potential problems. Numerical examples demonstrate the accuracy and efficiency of the method.
KW - Boundary element method
KW - Exponential integral function
KW - Fast multipole algorithm
KW - Laplace equation
KW - Robin boundary condition
UR - http://www.scopus.com/inward/record.url?scp=84861154903&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2012.04.012
DO - 10.1016/j.cma.2012.04.012
M3 - Article
SN - 0045-7825
VL - 233-236
SP - 152
EP - 163
JO - Computer methods in applied mechanics and engineering
JF - Computer methods in applied mechanics and engineering
ER -