×

Preconditioned Krylov solvers for BEA. (English) Zbl 0800.73504


MSC:

74S15 Boundary element methods applied to problems in solid mechanics
65N38 Boundary element methods for boundary value problems involving PDEs
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Kane, Int. j. numer. methods eng. 31 pp 1511– (1991)
[2] Boundary Element Analysis in Engineering Continuum Mechanics, Prentice-Hall, Englewood Cliffs, N. J., 1994.
[3] Introduction to Parallel and Vector Solution of Linear Systems, Plenum Press, New York, 1988.
[4] and , Matrix Computations, Johns Hopkins University Press, Baltimore, MD, 1983.
[5] ’Conjugate gradient methods for indefinite systems’, Lecture Notes in Mathematics, Vol 506, Springer, Berline, 1976. · Zbl 0326.65033
[6] Sonneveld, SIAM J. Sci. Stat. Comput. 10 pp 36– (1989)
[7] Saad, SIAM J. Sci. Stat. Comput. 7 pp 856– (1986)
[8] , and , Solving Linear Systems on Vector and Sha Memory Computers, SIAM, Philadelphia, PA, 1991.
[9] Van der Vorst, SIAM J. Sci. Stat. Comput. 13 pp 596– (1992)
[10] Freund, Numersche Mathematik 60 pp 315– (1991)
[11] Nachtigal, SIAM J. Matrix Anal. Appl.
[12] Samuelsson, Int. j. numer. methods eng. 22 pp 209– (1986)
[13] Angeleri, Comput. Struct. 32 pp 671– (1989)
[14] Brussino, Int. j. numer. methods eng. 28 pp 801– (1989)
[15] and , A Comparison off reconditioned Iterative Techniques for Sparse, Indefinite, Unsymmetric Systems of Linear Equations, IBM Document Number KGN-83, Kingston, New York, 1986.
[16] and , A Comparison of Preconditioned Iterative Techniques for Sparse, Unsymmetric Systems Linear Equations: Part II, IBM Document Number KGN-102, Kingston, New York, 1987.
[17] Zlatev, Comput. Math. Appl. 15 pp 185– (1988)
[18] Kincaid, Int. j. numer. methods eng. 27 pp 589– (1989)
[19] Vavasis, SIAM J. Matrix. Anal. Appl.
[20] ’Sparse preconditioned iterative methods for dense linear systems’, Proc. of the Copper Mountain Conference on Iterative Methods, University of Colorado at Denver, April, 1992.
[21] Atkinson, Iterative solution of linear systems arising from the boundary integral method SIAM J. Sci. Stat. Comput. 13 pp 694– (1992)
[22] and , ’Sparse blocked equation solving techniques in boundary element analysis’, ICES91 August 1991.
[23] ’The first annual large dense linear system survey’, manuscript, 1991.
[24] and , ’Boundary elements on distributed memory architectures’, submitted for publication to the IABEM-92 Conference, Boulder, CO.
[25] , and , ’BEM simulation of breaking waves in a distributed computing environment’, submitted for publication to the IABEM-92 Conference, Boulder. CO.
[26] ’Nystrom’s method and iterative solvers for the solution of the double layer potential equation over polyhedral boundaries’, submitted for publication to the IABEM-92 Conference, Boulder, CO.
[27] ’3D-BEM for Determination of the Earth’s Gravity Field’, submitted for publication to the IABEM-92 Conference, Boulder, CO.
[28] Gallivan, SIAM Review 32 pp 54– (1990)
[29] and , ’A bibliography on parallel and vector numerical algorithms’, in Parallel Algorithms for Matrix Computations, SIAM. Philadelphia, PA, 1990.
[30] Saad, Math Cvmput. 37 pp 105– (1981)
[31] Kane, Int. j. numer methods eng. 36 pp 2157– (1993)
[32] , and , ’Towards polyalgorithmic solvers for nonlinear elliptic systems’, Proc. Copper Mountain Conference on Iterative Methods, University of Colorado at Denver. April, 1992.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.