×
Kane, J. H.; Keyes, D. E.; Prasad, K. Guru

Iterative solution techniques in boundary element analysis. (English) Zbl 0825.73901

Int. J. Numer. Methods Eng. 31, No. 8, 1511-1536 (1991).

Cited in 27 Documents

MSC:

74S15 Boundary element methods applied to problems in solid mechanics
74H45 Vibrations in dynamical problems in solid mechanics

Software:

NSPCG
Cite Review PDF
Full Text: DOI

References:

[1] and , Boundary Element Methods in Engineering and Science, McGraw-Hill, London, 1981.
[2] and , Boundary Element Techniques in Engineering, Newnes Butterworths, London and Boston, 1980.
[3] and , Boundary Element Techniques, Springer-Verlag, Berlin and New York, 1984. · doi:10.1007/978-3-642-48860-3
[4] and , ’A second generation boundary integral program for three dimensional elastic analysis’, in and (eds.), Boundary Integral Equation Method: Computational Applications in Applied Mechanics, AMD Vol. 11, ASME, New York, 1975.
[5] Lachat, Comp. Methods Appl. Mech. Eng. 10 pp 273– (1977)
[6] ’Further developments of the boundary integral technique for elasto-statics’, Ph. D. Thesis, Southampton University, 1975.
[7] Crotty, Int. J. Numer. Methods Eng. 18 pp 997– (1982)
[8] ’A disc based block elimination technique used for the solution of non-symmetrical fully populated matrix systems encountered in the boundary element method’, Proc. Int. Symp. on Recent Developments in Boundary Element Methods, Southampton University, 1978, pp. 391-404.
[9] and , ’Linear equations solver for large block matrices arising in boundary element methods’, Boundary Elements IX, Vol. 1, Computational Mechanics Publications, Springer-Verlag, Southampton and Boston, 1987.
[10] ’Nonlinear equations solver for large equation sets arising when using BEM in homogenous regions of nonlinear material’, Boundary Elements IX, Vol. 1, Computational Mechanics Publications, Springer-Verlag, Southampton and Boston, 1987.
[11] ’Numerical analysis of continuum problems in zoned anisotropic media’, Ph. D. Thesis, Southampton University, 1972.
[12] and , ’Integral techniques for solving zoned anisotropic continuum problems’, Proc. Int. Conf. on Variational Methods in Engineering, Southampton University, 1971, pp.9/31-9/51.
[13] ’Boundary elements applied to seepage problems in zoned anisotropic soils’, M. Sc. Thesis, Southampton University, 1979. · Zbl 0435.76066
[14] ’Implementation of combined boundary element-finite element analysis with applications in geomechanics’, Chapter 7 in and (eds.), Developments in Boundary Element Methods, Elsevier, London and New York, 1986, pp. 191-225. · Zbl 0586.73172
[15] ’A combination of the finite element method and boundary solution procedures for continuum problems’, Ph. D. Thesis, University of Wales, University College, Swansea, 1982.
[16] ’Linear and nonlinear analysis of pile groups’, Ph. D. Thesis, University of Wales, University College, Cardiff, 1979.
[17] and , ’Application of the boundary element method to contact problems in elasticity with a nonclassical friction law’, Boundary Elements IX, Vol. 2, Computational Mechanics Publications, Springer-Verlag, Southampton and Boston, 1987, pp. 397-415.
[18] , and , ’An effective approach for boundary element method applicationto friction contact problems’, Boundary Elements IX, Vol. 1, Computational Mechanics Publications, Springer-Verlag, Southampton and Boston, 1987, pp. 439-445.
[19] ’Shape optimization utilizing a boundary element formulation’, Proc. BETECH 86, Computational Mechanics Publications, Springer-Verlag, Southampton and Boston, 1986, pp. 781-803.
[20] Kane, J. Eng. Mech. Asce 114 pp 1703– (1988)
[21] Saigal, Aiaa J. 28 pp 1203– (1990)
[22] and , ’Boundary formulations for shape sensitivity of temperature dependent conductivity problems’, Int. j. numer. methods eng., accepted for publication, 1991.
[23] Saigal, Aiaa J. 27 pp 1615– (1989)
[24] Saigal, Int. J. Solids Struct. 25 pp 527– (1989)
[25] and , ’Design sensitivity analysis of boundary element substructures’, Second NASA/Air Force Symposium on Recent Experiences in Multi Disciplinary Analysis and Optimization, Sept. 1988, Proceedings published as NASA CP-3031, Vol. 2, pp. 777-799.
[26] Kane, J. Eng. Mech., Asce 116 pp 2293– (1990)
[27] Hodous, Bulletin De La Direction Des Etudes Et Des Recherches, Serie C 1 pp 87– (1983)
[28] and , ’Parallel processing and the solution of boundary element equations’, in et al, (eds.), Advanced Topics in Boundary Element Analysis, ASME AMD Publication, New York, 1985.
[29] ’Solution techniques for boundary integral matrices’, in et al. (eds.), Numerical Methods in Transient and Coupled Problems, Wiley-Interscience, New York, 1987, pp. 123-147.
[30] Kane, Comp. Methods Appl. Mech. Eng. 29 pp 219– (1990)
[31] Kane, Comp. Mech. 7 pp 107– (1990)
[32] Kane, Aiaa J. 28 pp 1277– (1990)
[33] Kane, Aiaa J. 29 (1991)
[34] and , ’Parallel implementation of the boundary element method on the iPSC2 hypercube for electroplating applications’, Oak Ridge National Laboratory Report ORNL-6515, Oak Ridge, Tennessee, Dec. 1988.
[35] Eisenstat, Siam J. Sci. Statist. Comp. 9 pp 589– (1988)
[36] Geist, Siam J. Sci. Statist. Comp. 9 pp 639– (1988)
[37] Heath, Siam J. Sci. Statist. Comp. 9 pp 558– (1988)
[38] Introduction to Parallel and Vector Solution of Linear Systems, Plenum Press, New York, 1988. · doi:10.1007/978-1-4899-2112-3
[39] and , Matrix Computations, Johns Hopkins University Press, Baltimore, MD, 1983.
[40] Saad, Siam J. Sci. Statist. Comp. 7 pp 856– (1986)
[41] Samuelsson, Int. J. Numer. Methods Eng. 22 pp 209– (1986)
[42] Angeleri, Comp. Struct. 32 pp 671– (1989)
[43] Brussino, Int. J. Numer. Methods Eng. 28 pp 801– (1989)
[44] and , ’A comparison of preconditioned iterative techniques for sparse, indefinite, unsymmetric systems of linear equations’, IBM Document Number KGN-83, Kingston, New York, 1986.
[45] and , ’A comparison of preconditioned iterative techniques for sparse, unsymmetric systems of linear equations: Part II, IBM Document Number KGN-102’, Kingston, New York, 1987.
[46] and , ’The solution of linear systems of equations with a structural analysis code on the NAS CRAY-2’, NASA Report CR4158, Washington, DC, 1988.
[47] Zdatev, Comp. Math. Appl. 15 pp 185– (1988)
[48] Kincaid, Int. J. Numer. Methods Eng. 27 pp 589– (1989)
[49] and , ’How fast are nonsymmetric matrix iterations?’, Proc. Copper Mountain Conference on Iterative Methods, 1990, SIAM J. Sci. Stat. Comp., submitted for review.
[50] , , and , ’Low-storage implicit upwind-FEM schemes for the Euler equation’, Proc. 11th Int. Conf. on Numerical Methods in Fluid Dynamics, Springer-Verlag, Berlin, 1989, pp. 215-219.
[51] Navarra, Appl. Numer. Math.
[52] and , ’Element-by-element algorithms for nonsymmetric matrix problems arising in fluids’, in et al. (eds.), Solution of Superlarge Problems in Computational Mechanics, Plenum, New York, 1989, pp. 1-33. · doi:10.1007/978-1-4613-0535-4_1
[53] and , ’GMRES acceleration of computational fluid dynamics codes’, Proc. AIAA 7th Computational Fluid Dynamics Conference, AIAA, Washington, DC, 1985, paper no. 85-1494.
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.