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Fast multipole boundary element method for the Laplace equation in a locally perturbed half-plane with a Robin boundary condition

Pérez-Arancibia, Carlos and Ramaciotti, Pedro and Hein, Ricardo and Durán, Mario (2012) Fast multipole boundary element method for the Laplace equation in a locally perturbed half-plane with a Robin boundary condition. Computer Methods in Applied Mechanics and Engineering, 233 . pp. 152-163. ISSN 0045-7825. https://resolver.caltech.edu/CaltechAUTHORS:20130301-111452785

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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/j.cma.2012.04.012DOIUNSPECIFIED
http://www.sciencedirect.com/science/article/pii/S0045782512001326PublisherUNSPECIFIED
Additional Information:© 2012 Elsevier B.V. Received 13 December 2011. Received in revised form 22 March 2012. Accepted 16 April 2012. Available online 25 April 2012. Pedro Ramaciotti was supported by the program MECE Educación Superior (2) PUC0710.
Funders:
Funding AgencyGrant Number
MECE Educación SuperiorPUC0710
Subject Keywords:Laplace equation; Robin boundary condition; Fast multipole algorithm; Boundary element method; Exponential integral function
Record Number:CaltechAUTHORS:20130301-111452785
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130301-111452785
Official Citation:Carlos Pérez-Arancibia, Pedro Ramaciotti, Ricardo Hein, Mario Durán, Fast multipole boundary element method for the Laplace equation in a locally perturbed half-plane with a Robin boundary condition, Computer Methods in Applied Mechanics and Engineering, Volumes 233–236, 1 August 2012, Pages 152-163, ISSN 0045-7825, 10.1016/j.cma.2012.04.012. (http://www.sciencedirect.com/science/article/pii/S0045782512001326)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:37243
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:01 Mar 2013 19:31
Last Modified:03 Oct 2019 04:45

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