On the optimal implementation of the boundary element dual reciprocity method-multi-domain approach for 3D problems

DOI10.1016/j.enganabound.2006.08.005zbMath1195.76290OpenAlexW2011334695MaRDI QIDQ1958302

Viktor Popov, Bruno Natalini

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.2006.08.005

zbMATH Keywords

boundary element methodradial basis functions3D potential problemsoptimal implementationDRM-MD

Mathematics Subject Classification ID

Boundary element methods applied to problems in fluid mechanics (76M15) Diffusion and convection (76R99)

Related Items (6)

A meshless solution to two-dimensional convection-diffusion problems ⋮ Boundary element techniques for multiscale filling simulations in dual-scale fibrous reinforcements using two lumped approaches ⋮ Local mass conservative Hermite interpolation for the solution of flow problems by a multi-domain boundary element approach ⋮ Domain decomposition boundary element method with overlapping sub-domains ⋮ 3D multidomain BEM for a Poisson equation ⋮ Boundary reduction technique and rational Sinc domain decomposition method

Uses Software

• LSQR
• CRAIG

Cites Work

• A new approach to free vibration analysis using boundary elements
• DRM multidomain mass conservative interpolation approach for the BEM solution of the two-dimensional Navier-Stokes equations.
• An adaptive dual reciprocity scheme for the numerical solution of the Poisson equation
• Multistep scattered data interpolation using compactly supported radial basis functions
• Multi-domain mass conservative dual reciprocity method for the solution of the non-Newtonian Stokes equations
• Compactly supported positive definite radial functions
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• DRM-MD approach for the numerical solutions of gas flow in porous media, with application to landfill
• 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
• The DRM-MD integral equation method: an efficient approach for the numerical solution of domain dominant problems
• A new class of radial basis functions with compact support
• Tests of radial basis functions in the 3D DRM‐MD
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