COMPARISON BETWEEN THE CLASSICAL SUB REGIONS TECHNIQUE AND A NEW APPROACH WITH DOMAIN SUPERPOSITION TO SOLVE SECTORIAL INHOMOGENEOUS LAPLACE’S PROBLEMS

Authors

  • André Judá Correa de Andrade
  • Carlos Friedrich Loeffler

DOI:

https://doi.org/10.26512/ripe.v2i7.21713

Keywords:

Boundary Element Method. Inhomogeneous Laplace’s Problems. Sub-regions Technique.

Abstract

The Boundary Element Method (BEM) has excellent performance in applications where the variable field is scalar and stationary. However, there is a wide range of issues in science and engineering that are difficult to solve by the BEM. Among these issues, there are the constitutive non-homogeneous problems, where the physical properties vary sectorally. In these kind of problems, the domain techniques, such as Finite Element Method (FEM), Finite Volume Method (FVM) or Finite Difference Method (FDM), present considerable advantages. However, even for these cases, there is a consistent BEM formulation, the classic sub-region technique. This work presents numerical comparisons between the classic subregion technique and an alternative BEM technique that is not based on a partition of the domain. Results are compared with analytical results and other achieved by domain methods using finer meshes.

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References

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Published

2017-01-25

How to Cite

Andrade, A. J. C. de, & Loeffler, C. F. (2017). COMPARISON BETWEEN THE CLASSICAL SUB REGIONS TECHNIQUE AND A NEW APPROACH WITH DOMAIN SUPERPOSITION TO SOLVE SECTORIAL INHOMOGENEOUS LAPLACE’S PROBLEMS. Revista Interdisciplinar De Pesquisa Em Engenharia, 2(7), 78–92. https://doi.org/10.26512/ripe.v2i7.21713

Issue

Vol. 2 No. 7 (2016): BOUNDARY ELEMENT AND MESH REDUCED METHODS (II)

Section

Artigos

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