3D multidomain BEM for solving the Laplace equation

Engineering Analysis with Boundary Elements

Volumn 31, Issue 6, 2007, Pages 528-538

  Ramšak, Matjaž ^a   Škerget, Leopold ^a  

^a UNIVERSITY OF MARIBOR   (Slovenia)

Author keywords

Boundary element method; Laplace equation; Mixed boundary elements; Multidomain method; Potential flow

Indexed keywords

BOUNDARY ELEMENT METHOD; BOUNDARY INTEGRAL EQUATIONS; FINITE ELEMENT METHOD; LAPLACE EQUATION; POTENTIAL FLOW; PROBLEM SOLVING;

MIXED BOUNDARY ELEMENTS; MULTIDOMAIN METHOD;

THREE DIMENSIONAL COMPUTER GRAPHICS;

EID: 34247531369     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2006.10.006     Document Type: Article

References (19)

1. Brebbia C.A. The boundary element method for engineers (1978), Pentech Press
2. Grigoriev M.M., and Dargush G.F. Accuracy and efficiency of high-order boundary element methods for steady convective heat diffusion in three-dimensions. Eng Anal Bound Elem 28 (2004) 1475-1491
3. Grigoriev M.M., and Dargush G.F. A boundary element method for steady convective heat diffusion in three-dimensions. Comput Method Appl Mech Engrg 194 (2005) 2109-2125
4. Gao X.W. A promising boundary element formulation for three dimensional viscous flow. Int J Num Meth Fluids 47 (2005) 19-43
5. Ong E.T., and Lim K.M. Three-dimensional singular boundary element method for corner and edge singularities in potential problems. Eng Anal Bound Elem 29 (2005) 175-189
6. Škerget L., and Rek Z. Boundary-domain integral method using a velocity-vorticity formulation. Eng Anal Bound Elem 15 (1995) 359-370
7. Ramšak M., Škerget L., Hriberšek M., and Žunič Z. A multidomain boundary element method for unsteady laminar flow using stream function-vorticity equations. Eng Anal Bound Elem 29 (2005) 1-14
8. Gao X.W., and Davies T.G. 3d Multi-region BEM with corners and edges. Int J Solids Struct 37 (2000) 1549-1560
9. Ramšak M., and Škerget L. A multidomain boundary element method for two equation turbulence models. Eng Anal Bound Elem 29 (2005) 1086-1103
10. Ramšak M., and Škerget L. Mixed boundary elements for laminar flows. Int J Num Meth Fluids 31 (1999) 861-877
11. Banerjee P.K., and Butterfield R. Boundary element methods in engineering science (1981), McGraw-Hill Book Company, New York
12. Hriberšek M., and Škerget L. Iterative methods in solving Navier-Stokes equations by the boundary element method. Int J Num Meth Fluids 39 (1996) 115-139
13. CGNS. CFD General Notation System. 〈http://www.cgns.org.〉, 2006.
14. Hayami K, Brebbia CA. A new coordinate transformation for singular and nearly singular integrals over general curved boundary elements. In: 9th international conference on BEM. Stuttgart: Springer; 1987. p. 375-399.
15. Paige C.C., and Saunders M.A. LSQR: sparse linear equations and least-squares problems. ACM Trans Math Software 8 (1982) 195-209
16. Ramšak M., and Škerget L. Iterative least squares methods for solving over-determined matrix for mixed boundary elements. ZAMM 8 (2000) 657-658
17. Zienkiewicz O.C., and Taylor R.L. The finite element method (2002), McGraw-Hill, New York
18. CFX. CFX validation report: comparison of accuracy for various element types: laminar flow. CFX-VAL11/1002, 2002.
19. University of Princeton. Princeton shape retrieval and analysis group. 〈http://shape.cs.princeton.edu/search.html〉, 2006.