Fast multipole boundary elements method for multizone problems

T. Trinh, S. Mouhoubi, C. Chazallon, M. Bonnet

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Domains containing internal boundaries such as interface occur in many applications: composite materials, geophysical simulations⋯ The treatment of these problems requires the continuity across the common boundary. There are usually more unknowns on interfaces which render the solution of a multizone problem more sophisticated and inefficient. Among many numerical alternatives, the symmetric Galerkin boundary elements (SGBEM) provides a natural treatment on the interfaces and produces a symmetric coefficient matrix of reduced size. Taking into account the distinct advantages of the BEM in treating unbounded or evolutive problems, the SGBEM is also able to study accurately fracture problems. Moreover, with help of the Fast Multipole Method (FMM), the method can surpass all the limitations of the standard boundary analysis and become a very powerful and efficient tool. In this paper, we present the implementation of the Fast Multipole Method in the SGBEM and report some examples of non-fractured and fractured multizone problems.

Original languageEnglish
Title of host publication11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014
EditorsEugenio Onate, Xavier Oliver, Antonio Huerta
PublisherInternational Center for Numerical Methods in Engineering
Pages2096-2107
Number of pages12
ISBN (Electronic)9788494284472
Publication statusPublished - 1 Jul 2014
EventJoint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014 - Barcelona, Spain
Duration: 20 Jul 201425 Jul 2014

Publication series

Name11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014

Conference

ConferenceJoint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014
Country/TerritorySpain
CityBarcelona
Period20/07/1425/07/14

Keywords

  • FMM
  • Flexible GMRES
  • Multizone problems
  • SGBEM

Fingerprint

Dive into the research topics of 'Fast multipole boundary elements method for multizone problems'. Together they form a unique fingerprint.

Cite this