A domain decomposition tool for boundary element methods

DOI10.1016/j.enganabound.2007.03.002zbMath1195.76283OpenAlexW2067027497MaRDI QIDQ1958389

Marc S. Ingber, John A. Tanski, Paul M. Alsing

Publication date: 28 September 2010

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2007.03.002

zbMATH Keywords

particular solution methodgraph decompositiondomain decomposition BEMkernighan-lin methodNeumann-Neumann iteration

Mathematics Subject Classification ID

Diffusion (76R50) Boundary element methods applied to problems in fluid mechanics (76M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items

A new simple multidomain fast multipole boundary element method ⋮ An efficient wave based method for solving Helmholtz problems in three-dimensional bounded domains ⋮ Enhancement of the accuracy of the Green element method: application to potential problems ⋮ A new approach to solve multi-medium nonlinear transient heat conduction problems using interface integration BEM ⋮ A multi-domain direct boundary element formulation for particulate flow in microchannels ⋮ Stochastic modelling of nanofluids using the fast boundary-domain integral method ⋮ New interface integration BEM for solving multi-medium nonlinear heat transfer problems

Uses Software

• Chaco
• EXODUS II

Cites Work

• Unnamed Item
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• Shape optimization of acoustic scattering bodies.
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• The DRM sub-domain decomposition approach for two-dimensional thermal convection flow problems
• A parallel domain decomposition boundary element method approach for the solution of large-scale transient heat conduction problems
• A fast convergent iterative boundary element method on PVM cluster
• Iterative schemes for the solution of system of equations arising from the DRM in multi domain approach, and a comparative analysis of the performance of two different radial basis functions used in the interpolation
• A comparison of domain integral evaluation techniques for boundary element methods
• The DRM-MD integral equation method: an efficient approach for the numerical solution of domain dominant problems
• A multiple‐node method to resolve the difficulties in the boundary integral equation method caused by corners and discontinuous boundary conditions
• A mesh free approach using radial basis functions and parallel domain decomposition for solving three‐dimensional diffusion equations