Boundary integral domain decomposition of hierarchical memory multiprocessors

1988 ◽  
Author(s):  
E. Gallopoulos ◽  
D. Lee
Keyword(s):  
Domain Decomposition ◽  
Integral Domain ◽  
Boundary Integral ◽  
Hierarchical Memory

A Domain Decomposition of the Finite Element-Boundary Integral Method for Scattering by Deep Cavities

2011 ◽  
Vol 383-390 ◽  
pp. 2585-2589
Author(s):  
Zhi Wei Cui ◽  
Yi Ping Han ◽  
Wen Juan Zhao
Keyword(s):  
Finite Element ◽  
Domain Decomposition ◽  
Domain Decomposition Method ◽  
Schur Complement ◽  
Building Blocks ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Special Method ◽  
Deep Cavities ◽  
Element Boundary

An efficient domain decomposition method (DDM) is employed to improve upon the efficiency and capability of the finite element-boundary integral (FE-BI) method for calculation of electromagnetic (EM) scattering from deep cavities. This method first subdivides the original cavity into many sub-domains along its depth and classifies these sub-domains into a few building blocks. It then employs the substructuring method to deal with the different types of sub-domains. The resulting Schur complement system is solved by a special method which has low memory requirements because the formation of the global Schur complement matrix is not necessary. Numerical results indicate that the presented method is an effective approach for scattering by deep cavities.

scholarly journals A Domain Decomposition Method for Hybrid Shell Vector Element with Boundary Integral Method

2012 ◽  
Vol 2012 ◽  
pp. 1-6 ◽  
Author(s):  
Lin Lei ◽  
Jun Hu ◽  
Hao-Quan Hu
Keyword(s):  
Domain Decomposition ◽  
Domain Decomposition Method ◽  
Three Dimensional ◽  
Shell Element ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Thin Coating ◽  
Surface Integral ◽  
Vector Element ◽  
Element Method

For the conducting body coated with thin-layer material, plenty of fine meshes are required in general. In this paper, shell vector element (SVE) is used for modeling of thin coating dielectric. Further, a domain decomposition (DD) method for hybrid shell vector element method boundary integral (SVE-BI) is proposed for analysis of electromagnetic problem of multiple three-dimensional thin-coating objects. By this method, the whole computational domains are divided into sub-SVE domains and boundary element domains. With shell element, not only the unknowns are far less than the one by traditional vector element method, but only surface integral is required. The DDM framework used for hybrid SVE-BI also enhances the computational efficiency of solving scattering from multiple coating objects greatly. Finally, several numerical examples are presented to prove the accuracy and efficiency of this DDM-SVE-BI method.

A Parallel Domain Decomposition BEM Algorithm for Three-Dimensional Exponentially Graded Elasticity

2008 ◽  
Vol 75 (5) ◽  
Author(s):  
J. E. Ortiz ◽  
W. A. Shelton ◽  
V. Mantič ◽  
R. Criado ◽  
L. J. Gray ◽  
...  
Keyword(s):  
Analytical Solution ◽  
Domain Decomposition ◽  
Functionally Graded Material ◽  
Computational Cost ◽  
Three Dimensional ◽  
Boundary Integral ◽  
Functionally Graded ◽  
Graded Material ◽  
High Computational Cost ◽  
Exponentially Graded

A parallel domain decomposition boundary integral algorithm for three-dimensional exponentially graded elasticity has been developed. As this subdomain algorithm allows the grading direction to vary in the structure, geometries arising from practical functionally graded material applications can be handled. Moreover, the boundary integral algorithm scales well with the number of processors, also helping to alleviate the high computational cost of evaluating the Green’s functions. For axisymmetric plane strain states in a radially graded material, the numerical results for cylindrical geometries are in excellent agreement with the analytical solution deduced herein.

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