3D multidomain BEM for solving the Laplace equation

Ramšak, Matjaž; Škerget, L.

doi:10.1016/j.enganabound.2006.10.006

Cited by 29 publications

(11 citation statements)

References 12 publications

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“…It must be mentioned that all the problems to which these BEM sub-domain approaches have been applied are of nature that would require either a direct integration of the domain integral which appears in these cases or some technique which can transform the domain integral into a boundary integral, like for example the DRM or the multiple reciprocity method (MRM). Even in the case when the domain integral does not appear in the BEM formulation, e.g., the Laplace equation, it could still be advantageous for very large problems to apply domain decomposition in order to decrease the CPU and memory requirements, as has been shown recently [17].…”

Section: Introductionmentioning

confidence: 97%

Domain decomposition boundary element method with overlapping sub-domains

Thanh

Popov

2009

Engineering Analysis with Boundary Elements

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Section: Introductionmentioning

confidence: 97%

Domain decomposition boundary element method with overlapping sub-domains

Thanh

Popov

2009

Engineering Analysis with Boundary Elements

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“…In the paper we present subdomain BEM for the solution of the vorticity transport and the kinematics equations. Ramšak and Škerget [9] employed a similar approach for the 3D Laplace equation, but using a lower order interpolation scheme.…”

Section: Introductionmentioning

confidence: 98%

Combined single domain and subdomain BEM for 3D laminar viscous flow

Ravnik¹,

Škerget²,

Žunič³

2009

Engineering Analysis with Boundary Elements

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“…Some BEM algorithms have already been developed for analysis of heat conduction in 2D [2,3] and 3D multi-regions [4][5][6]. Based on available literature, the BEM analysis of heat conduction problem in multi-regions mostly concern the regions consist of small number of subregions, and for those simple regions the efficiency of the method is proved.…”

Section: Introductionmentioning

confidence: 99%

BEM Utility for Simulation of Linear Thermal Bridges

Werner-Juszczuk

Rynkowski

2016

CMST

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This paper aims to prove utility of the boundary element method for modelling 2D heat transfer in complex multiregions, particularly in thermal bridges. It proposes BEM as an alternative method commonly applied in commercial software for simulation of temperature field and heat flux in thermal bridges, mesh methods (FEM, FDM).The BEM algorithm with Robin boundary condition is developed for modelling 2D heat transfer in complex multi-regions. Simulation is performed with the authoring Fortran program. The developed mathematical algorithm and computer program are validated according to standard EN ISO 10211:2007. Two examples of complex thermal bridges that commonly appears in house building are presented. Analysis of two reference cases, listed in standard ISO, confirms utility of the proposed BEM algorithm and Fortran program for simulation of linear thermal bridges. Conditions, quoted in standard ISO, are satisfied with models of a relatively small number of boundary elements. Performed validation constitutes the base for further development of BEM as an efficient method for modelling heat transfer in building components, and for the prospective application in commercial software.

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3D multidomain BEM for solving the Laplace equation

Cited by 29 publications

References 12 publications

Domain decomposition boundary element method with overlapping sub-domains

Domain decomposition boundary element method with overlapping sub-domains

Combined single domain and subdomain BEM for 3D laminar viscous flow

BEM Utility for Simulation of Linear Thermal Bridges

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