PARALLEL DOMAIN DECOMPOSITION APPROACH FOR LARGE-SCALE THREE-DIMENSIONAL BOUNDARY-ELEMENT MODELS IN LINEAR AND NONLINEAR HEAT CONDUCTION

References

• Kassab , A. , Divo , E. , Heidmann , J. , Steinthorsson , E. and Rodriguez , F. 2003 . BEM/FVM Conjugate Heat Transfer Analysis of a Three-Dimensional Film Cooled Turbine Blade . Int. J. Numer. Meth. Heat Fluid Flow , 13 : 581 – 610 .
   Web of Science ®Google Scholar
• Heidmann , J. D. , Kassab , A. J. , Divo , E. A. , Rodriguez , F. and Steinthorsson , E. 2003 . Conjugate Heat Transfer Effects on a Realistic Film-Cooled Turbine Vane . ASME Paper GT200338553 ,
   Google Scholar
• Rizzo , F. and Shippy , D. J. 1968 . A Formulation, and Solution Procedure for the General Nonhomogeneous Elastic Inclusion Problem . Int. J. Solids Struct. , 4 : 1161 – 1179 .
   Google Scholar
• Bialecki , R. A. , Merkel , M. , Mews , H. and Kuhn , G. 1996 . In-, and Out-of-Core BEM Equation Solver with Parallel, and Nonlinear Options . Int. J. Numer. Meth. Eng. , 39 : 42154242
   Google Scholar
• Kane , J. H. , Kashava-Kumar , B. L. and Saigal , S. 1990 . An Arbitrary Condensing, Non Condensing Strategy for Large Scale, Multi-Zone Boundary Element Analysis . Comput. Meth. Appl. Mech. Eng. , 79 : 219 – 244 .
   Google Scholar
• Baltz , B. and Ingber , M. S. 1997 . A Parallel Implementation of the Boundary Element Method for Heat Conduction Analysis in Heterogenous Media . Eng. Anal. , 19 : 3 – 11 .
   Google Scholar
• Kamiya , N. , Iwase , H. and Kita , E. 1996 . Parallel Implementation of Boundary Element Method with Domain Decomposition . Eng. Anal. , 18 : 209 – 216 .
   Google Scholar
• Davies , A. J. and Mushtaq , J. 1996 . The Domain Decomposition Boundary Element Method, on a Network of Transputers, Ertekin, BETECHXI: Proc. of 11th Conf. Boundary Element Technology, Honolulu, Hawaii , 397 – 406 . Southampton, UK : Computational Mechanics Publications .
   Google Scholar
• Mai-Duy , N. , Nguyen-Hong , P. and Tran-Cong , T. 1998 . A Fast Convergent Iterative Boundary Element Method on PVM Cluster . Eng. Anal. , 22 : 307 – 316 .
   Google Scholar
• Greengard , L. and Strain , J. 1990 . A Fast Algorithm for the Evaluation of Heat Potentials . Commun. Pure Appl. Math. , 43 : 949 – 963 .
   Google Scholar
• Hackbush , W. and Nowak , Z. P. 1989 . On the Fast Multiplication in the Boundary Element Method by Panel Clustering . Numer. Math. , 54 : 463 – 491 .
   Google Scholar
• Bucher , H. and Wrobel , L. C. 2000 . A Novel Approach to Applying Wavelet Transforms in Boundary Element Method, BETEQII: Advances in Boundary Element Techniques, II, Piscatawy, NJ , 3 – 13 . Geneva, Switzerland : Hogaar Press .
   Google Scholar
• Rodriguez , F. , Divo , E. and Kassab , A. J. 2002 . “ A Strategy for BEM Modeling of Large-Scale Three Dimensional Heat Transfer Problems ” . In Recent Advances ht Theoretical, and Applied Mechanics, Vol. XXI: Proc. of SECTAM XXI, Orlando, FL , Edited by: Kassab , A. J. , Nicholson , D. W. and Ionescu , I. 645 – 654 . Orlando, FL : Rivercross Press .
   Google Scholar
• Brebbia , C. A. , Telles , J. C. F. and Wrobel , L. C. 1984 . Boundary Element Techniques , Berlin : SpringerVerlag .
   Google Scholar
• Wrobel , L. C. 2002 . The Boundary Element Method-Applications in Thermo-fluids, and Acoustics , Vol. 1 , New York : Wiley .
   Google Scholar
• Ozisik , N. M. 1980 . Heat Conduction , New York : Wiley .
   Google Scholar
• Azevedo , J. P. S. and Wrobel , L. C. 1988 . Non-linear Heat Conduction in Composite Bodies: A Boundary Element Formulation . Int. J. Numer. Meth. Eng. , 26 : 19 – 38 .
   Web of Science ®Google Scholar
• Bialecki , R. and Nahlik , R. 1989 . Solving Nonlinear Steady-State Potential Problems in Nonhomogeneous Bodies Using the Boundary Element Method . Numer. Heat Transfer B , 16 : 79 – 96 .
   Web of Science ®Google Scholar
• Bialecki , R. and Kuhn , G. 1993 . Boundary Element Solution of Heat Conduction Problems in Multi-zone Bodies of Non-linear Materials . Int. J. Numer. Meth. Eng. , 36 : 799809
   Google Scholar
• Gropp , W. , Lusk , E. and Thakur , R. 1999 . Using MPI: Portable Parallel Programming with the Message-Passing Interface , Cambridge, MA : MIT Press .
   Google Scholar
• Gropp , W. , Lusk , E. and Thakur , R. 1999 . Using MPI-2: Advanced Features of the MessagePassing Interface , Cambridge, MA : MIT Press .
   Google Scholar
• Sterling , T. E. 2001 . Beowulf Cluster Computing with Windows , Cambridge, MA : MIT Press .
   Google Scholar