3D multidomain BEM for solving the Laplace equation

DOI10.1016/j.enganabound.2006.10.006zbMath1195.76293OpenAlexW2043465765MaRDI QIDQ1958335

Leopold Škerget, Matjaž Ramšak

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.2006.10.006

zbMATH Keywords

boundary element methodLaplace equationpotential flowmultidomain methodmixed boundary elements

Mathematics Subject Classification ID

Diffusion (76R50) Boundary element methods applied to problems in fluid mechanics (76M15) Boundary element methods for boundary value problems involving PDEs (65N38) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (15)

A new simple multidomain fast multipole boundary element method ⋮ Analytical evaluation of the BEM singular integrals for 3D Laplace and Stokes flow equations using coordinate transformation ⋮ A point particle source model for conjugate heat and mass transfer in dispersed two-phase flows by BEM based methods ⋮ The multi-domain hybrid boundary node method for 3D elasticity ⋮ Combined single domain and subdomain BEM for 3D laminar viscous flow ⋮ Domain decomposition boundary element method with overlapping sub-domains ⋮ The multi-domain boundary contour method for interface and dissimilar material problems ⋮ 3D multidomain BEM for a Poisson equation ⋮ A multi-domain boundary element formulation for acoustic frequency sensitivity analysis ⋮ Iterative simulation of 3D heat diffusion in a medium with multiple cracks ⋮ A highly efficient multidomain BEM for multimillion subdomains ⋮ A multi-domain direct boundary element formulation for particulate flow in microchannels ⋮ A family of cylindrical elements ⋮ A multi-domain BEM based on dual interpolation boundary face method for 3D elasticity problem ⋮ A fast directional boundary element method for wideband multi-domain elastodynamic analysis

Uses Software

• LSQR
• CRAIG

Cites Work

• 3D multi-region BEM with corners and edges
• Three-dimensional singular boundary elements for corner and edge singularities in potential problems
• A multidomain boundary element method for two equation turbulence models
• A boundary element method for steady convective heat diffusion in three dimensions
• Accuracy and efficiency of higher-order boundary element methods for steady convective heat diffusion in three-dimensions
• A multidomain boundary element method for unsteady laminar flow using stream function--vorticity equations
• A promising boundary element formulation for three-dimensional viscous flow
• ITERATIVE METHODS IN SOLVING NAVIER-STOKES EQUATIONS BY THE BOUNDARY ELEMENT METHOD
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