Fu Y., Klimkowski K. J., et al., A fast solution method for three-dimensional manyparticle problems of linear elasticity, in International Journal for Numerical Methods in Engineering, vol. 42(7): pp. 1215-1229, 1998.  Home/Search   Document Details and Download   Summary   Related Articles   Check

....matrix and these integrations must be done accurately to ensure the accuracy of the BEM results. Optimization of the integration process and solution methods in the BEM is possible, such as using the new multipole expansion techniques (see, e.g. Peirce and Napier 1995; Gomez and Power 1997; Fu, Klimkowski et al. 1998; Mammoli and Ingber 1999; Nishimura, Yoshida et al. 1999) and the iterative solvers (see, e.g. Freund and Nachtigal 1996; Chen, Liu et al. 2000) and the references therein) These investigations are under way in order to improve the solution efficiency of the developed BEM. On the other hand, ....

Fu, Y., K. J. Klimkowski, G. J. Rodin, E. Berger, et al. (1998). "A fast solution method for three-dimensional many-particle problems of linear elasticity." International Journal for Numerical Methods in Engineering 42: 1215-1229.

.... They tend to arise from boundary element formulations for the solution of integral equations in the areas of electro magnetics and acoustics [5, 7, 11] Even for those applications, much cheaper methods based on multi pole expansions, fast multipole methods (FMM) have recently become popular [10]. Nonetheless, there are still many such applications that are solved by forming large dense systems of equations. In some cases, this is simply because the users are naive. In other cases it is a conscious decision since a considerable effort is required to reformulate the problem in a fashion ....

.... operations or machine specific libraries for dense linear systems reported in the literature [2, 13, 3, 16, 17] Additional references to applications requiring large dense linear solves are given in [5, 7, 11] Additional references to research using fast summation methods like FMM are given in [10]. 1.3 Contributions of this study The primary contribution is the out of core infrastructure, POOCLAPACK, that we added to PLAPACK. This extension allows out of core routines to be developed very easily when combined with PLAPACK. We developed POOCLAPACK on the Cray T3E architecture, but it is ....

Y. Fu, K. J. Klimkowski, G. J. Rodin, E. Berger, J. C. Browne, J. K. Singer, R. A. van de Geijn, and K. S. Vemaganti. A fast solution method for three-dimensional many-particle problems of linear elasticity. Int. J. Num. Meth. Engrg., 42:1215--1229, 1998.

.... They tend to arise from boundary element formulations for the solution of integral equations in the areas of electro magnetics and acoustics [5, 7, 10] Even for those applications, much cheaper methods based on multi pole expansions, fast multipole methods (FMM) have recently become popular [9]. Nonetheless, there are still many such applications that are solved by forming large dense systems of equations. In some cases, this is simply because the users are naive. In other cases it is a conscious decision since a considerable effort is required to reformulate the problem in a fashion ....

.... operations or machine specific libraries for dense linear systems reported in the literature [2, 12, 3, 13, 14] Additional references to applications requiring large dense linear solves are given in [5, 7, 10] Additional references to research using fast summation methods like FMM are given in [9]. This paper is organized as follows: Section 2 introduces algorithms for solving the Cholesky factorization used to later illustrate the use of POOCLAPACK. Section 3 discusses issues regarding the in core and out of core implementation of sequential Cholesky factorization. Section 4 introduces ....

Y. Fu, K. J. Klimkowski, G. J. Rodin, E. Berger, J. C. Browne, J. K. Singer, R. A. van de Geijn, and K. S. Vemaganti. A fast solution method for three-dimensional many-particle problems of linear elasticity. Int. J. Num. Meth. Engrg., 42:1215--1229, 1998.

....(VCFEM) has been proposed and studied in detail by Ghosh and coworkers [12,13] In this method, heterogeneities are encapsulated in Voronoi Cells and these cells constitute the nite elements of the model. This method has been applied to both linear and nonlinear heterogeneous materials. Fu et al. [10] have studied the use of the Fast Multipole Method (FMM) for the boundary element solution of many particle problems. Meguid and Zhu [24] developed a special nite element for the analysis of heterogeneous materials with circular inclusions wherein element shape functions are supplemented by ....

Fu, Y., Klimkowski, K. J., Rodin, G. J., Berger, E., Browne, J. C., Singer, J. K., Van De Geijn, R. A., and Vemaganti, K. \A Fast Solution Method for Three-Dimensional Many-Particle Problems of Linear Elasticity". Int. J. Numer. Meth. Engng., 42 (1998) 1215-1229.

.... They tend to arise from boundary element formulations for the solution of integral equations in the areas of electro magnetics and acoustics [6, 8, 12] Even for those applications, much cheaper methods based on multi pole expansions, fast multipole methods (FMM) have recently become popular [11]. Nonetheless, there are still many such applications that are solved by forming large dense systems of equations. In some cases, this is simply because the users are naive. In other cases it is a conscious decision since a considerable effort is required to reformulate the problem in a fashion ....

.... operations or machine specific libraries for dense linear systems reported in the literature [2, 14, 4, 18, 19] Additional references to applications requiring large dense linear solves are given in [6, 8, 12] Additional references to research using fast summation methods like FMM are given in [11]. This paper is organized as follows: Section 2 discusses issues regarding the in core and out of core implementation of sequential Cholesky factorization. Section 3 we briefly discuss how the techniques can be extended to the QR factorization, requiring in core and OOC algorithms that are not ....

Y. Fu, K. J. Klimkowski, G. J. Rodin, E. Berger, J. C. Browne, J. K. Singer, R. A. van de Geijn, and K. S. Vemaganti. A fast solution method for three-dimensional many-particle problems of linear elasticity. Int. J. Num. Meth. Engrg., 42:1215--1229, 1998.

.... They tend to arise from boundary element formulations for the solution of integral equations in the areas of electro magnetics and acoustics [5, 7, 10] Even for those applications, much cheaper methods based on multi pole expansions, fast multipole methods (FMM) have recently become popular [9]. Nonetheless, there are still many such applications that are solved by forming large dense systems of equations. In some cases, this is simply because the users are naive. In other cases it is a conscious decision since a considerable effort is required to reformulate the problem in a fashion ....

.... operations or machine specific libraries for dense linear systems reported in the literature [2, 12, 3, 13, 14] Additional references to applications requiring large dense linear solves are given in [5, 7, 10] Additional references to research using fast summation methods like FMM are given in [9]. This paper is organized as follows: Section 2 introduces algorithms for solving the Cholesky factorization used to later illustrate the use of POOCLAPACK. Section 3 discusses issues regarding the in core and out of core implementation of sequential Cholesky factorization. Section 4 introduces ....

Y. Fu, K. J. Klimkowski, G. J. Rodin, E. Berger, J. C. Browne, J. K. Singer, R. A. van de Geijn, and K. S. Vemaganti. A fast solution method for three-dimensional many-particle problems of linear elasticity. Int. J. Num. Meth. Engrg., 42:1215--1229, 1998.

.... They tend to arise from boundary element formulations for the solution of integral equations in the areas of electro magnetics and acoustics [5, 7, 10] Even for those applications, much cheaper methods based on multi pole expansions, fast multipole methods (FMM) have recently become popular [9]. Nonetheless, there are still many such applications that are solved by forming large dense systems of equations. In some cases, this is simply because the users are naive. In other cases it is a conscious decision since a considerable effort is required to reformulate the problem in a fashion ....

.... operations or machine specific libraries for dense linear systems reported in the literature [2, 12, 3, 13, 14] Additional references to applications requiring large dense linear solves are given in [5, 7, 10] Additional references to research using fast summation methods like FMM are given in [9]. This paper is organized as follows: Section 2 introduces algorithms for solving the Cholesky factorization used to later illustrate the use of POOCLAPACK. Section 3 discusses issues regarding the in core and out of core implementation of sequential Cholesky factorization. Section 4 introduces ....

Y. Fu, K. J. Klimkowski, G. J. Rodin, E. Berger, J. C. Browne, J. K. Singer, R. A. van de Geijn, and K. S. Vemaganti. A fast solution method for three-dimensional many-particle problems of linear elasticity. Int. J. Num. Meth. Engrg., 42:1215--1229, 1998.

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Fu Y., Klimkowski K. J., et al., A fast solution method for three-dimensional manyparticle problems of linear elasticity, in International Journal for Numerical Methods in Engineering, vol. 42(7): pp. 1215-1229, 1998.

No context found.

Fu Y, Klimkowski KJ, Rodin GJ, Berger E, Browne JC, Singer JK, Geijn RAVD, Vemaganti KS. A fast solution method for threedimensional many-particle problems of linear elasticity. Int J Numer Meth Engng 1998;42:1215 -- 29.

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