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Volumn , Issue , 2002, Pages 1-423

A practical guide to boundary element methods with the software library BEMLIB

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EID: 85057704855     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Book
Times cited : (352)

References (73)
  • 1
    • 0033101572 scopus 로고    scopus 로고
    • An hr-adaptive boundary element for water free-surface problems
    • ABE, K. and SAKURABA, S., 1999, An hr-adaptive boundary element for water free-surface problems, Eng. Anal. Bound. Elem., 23, 223-232.
    • (1999) Eng. Anal. Bound. Elem. , vol.23 , pp. 223-232
    • Abe, K.1    Sakuraba, S.2
  • 3
    • 0003223536 scopus 로고
    • A survey of boundary integral equation methods for the numerical solution of Laplace’s equation in three dimensions
    • Goldberg, M. A., Editor, Plenum Press, New York
    • ATKINSON, K. E., 1990, A survey of boundary integral equation methods for the numerical solution of Laplace’s equation in three dimensions, in Numerical Solution of Integral Equations, Goldberg, M. A., Editor, Plenum Press, New York.
    • (1990) Numerical Solution of Integral Equations
    • Atkinson, K.E.1
  • 5
    • 36549103051 scopus 로고
    • Ewald sums of the Rotne-Prager tensor
    • BEENAKKER, C. W. L., 1986, Ewald sums of the Rotne-Prager tensor, J. Chem. Phys., 85, 1581-1582.
    • (1986) J. Chem. Phys. , vol.85 , pp. 1581-1582
    • Beenakker, C.W.L.1
  • 7
    • 84976077688 scopus 로고
    • A note on the image system for a Stokeslet near a no-slip boundary
    • BLAKE, J. R., 1971, A note on the image system for a Stokeslet near a no-slip boundary, Proc. Camb. Phil. Soc., 70, 303-310.
    • (1971) Proc. Camb. Phil. Soc. , vol.70 , pp. 303-310
    • Blake, J.R.1
  • 8
    • 0002609471 scopus 로고
    • Fundamental singularities of viscous flow
    • BLAKE, J. R. and CHWANG, A. T., 1974, Fundamental singularities of viscous flow, J. Eng. Math., 8, 23-29.
    • (1974) J. Eng. Math. , vol.8 , pp. 23-29
    • Blake, J.R.1    Chwang, A.T.2
  • 11
    • 0032091936 scopus 로고    scopus 로고
    • A mesh free method for linear diffusion equations
    • CHEN, C. S., RASHED, Y. F., and GOLBERG, M. A., 1998, A mesh free method for linear diffusion equations, Num. Heat Transf., 33, 469-486.
    • (1998) Num. Heat Transf. , vol.33 , pp. 469-486
    • Chen, C.S.1    Rashed, Y.F.2    Golberg, M.A.3
  • 12
    • 84985385639 scopus 로고
    • Gaussian quadrature formulas for triangles
    • COWPER, G. R., 1973, Gaussian quadrature formulas for triangles, Int. J. Num. Meth. Eng., 7, 405-408.
    • (1973) Int. J. Num. Meth. Eng. , vol.7 , pp. 405-408
    • Cowper, G.R.1
  • 13
    • 0024707707 scopus 로고
    • Analytical integration of linear three-dimensional triangular elements in BEM
    • DAVEY, K. and HINDUJA, S., 1989, Analytical integration of linear three-dimensional triangular elements in BEM, Appl. Math. Model., 13, 450-461.
    • (1989) Appl. Math. Model. , vol.13 , pp. 450-461
    • Davey, K.1    Hinduja, S.2
  • 14
    • 0001987242 scopus 로고
    • Numerical inversion of Laplace transform: A survey and comparison of methods
    • DAVIES, B. and MARTIN, B., 1979, Numerical inversion of Laplace transform: a survey and comparison of methods, J. Comp. Phys., 33, 1-32.
    • (1979) J. Comp. Phys. , vol.33 , pp. 1-32
    • Davies, B.1    Martin, B.2
  • 15
    • 0026371189 scopus 로고
    • Spectral methods on triangles and other domains
    • DUBINER, M., 1991, Spectral methods on triangles and other domains, J. Sci. Comp., 6, 345-390.
    • (1991) J. Sci. Comp. , vol.6 , pp. 345-390
    • Dubiner, M.1
  • 16
    • 0022076980 scopus 로고
    • High degree efficient symmetrical Gaussian rules for the triangle
    • DUNAVANT, D. A., 1985, High degree efficient symmetrical Gaussian rules for the triangle, Int. J. Num. Meth. Eng., 21, 1129-1148.
    • (1985) Int. J. Num. Meth. Eng. , vol.21 , pp. 1129-1148
    • Dunavant, D.A.1
  • 17
    • 0035095836 scopus 로고    scopus 로고
    • Comparison between continuous and discontinuous boundary elements in the multidomain dual reciprocity method for the solution of the two-dimensional Navier-Stokes equations
    • FLOREZ, W. F. and POWER, H., 2001, Comparison between continuous and discontinuous boundary elements in the multidomain dual reciprocity method for the solution of the two-dimensional Navier-Stokes equations, Eng. Anal. Bound. Elem., 25, 57-69.
    • (2001) Eng. Anal. Bound. Elem. , vol.25 , pp. 57-69
    • Florez, W.F.1    Power, H.2
  • 19
    • 0029308801 scopus 로고
    • The numerical evaluation of particular solutions in the BEM – a review
    • GOLBERG, M. A., 1995, The numerical evaluation of particular solutions in the BEM – a review, Bound. Elem. Comm., 6, 99-106.
    • (1995) Bound. Elem. Comm. , vol.6 , pp. 99-106
    • Golberg, M.A.1
  • 20
    • 0001987050 scopus 로고
    • The theory of radial basis functions applied to the BEM for inhomogeneous partial differential equations
    • GOLBERG, M. A. and CHEN, C. S., 1994, The theory of radial basis functions applied to the BEM for inhomogeneous partial differential equations, Bound. Elem. Comm., 5, 57-61.
    • (1994) Bound. Elem. Comm. , vol.5 , pp. 57-61
    • Golberg, M.A.1    Chen, C.S.2
  • 21
    • 85057661626 scopus 로고    scopus 로고
    • Preface to a special issue on the dual reciprocity method
    • GOLBERG, M. A. and CHEN, C. S., 2000, Preface to a special issue on the dual reciprocity method, Bound. Elem. Comm., 5, 5111-512.
    • (2000) Bound. Elem. Comm. , vol.5 , pp. 5111-5512
    • Golberg, M.A.1    Chen, C.S.2
  • 22
    • 0033116371 scopus 로고    scopus 로고
    • Some recent results and proposals for the use of radial basis functions in the BEM
    • GOLBERG, M. A., CHEN, C. S., and BOWMAN, H., 1999, Some recent results and proposals for the use of radial basis functions in the BEM. Eng. Anal. Bound. Elem. 23, 285-296.
    • (1999) Eng. Anal. Bound. Elem. , vol.23 , pp. 285-296
    • Golberg, M.A.1    Chen, C.S.2    Bowman, H.3
  • 23
    • 0002123078 scopus 로고    scopus 로고
    • Evaluation of singular and hypersingular Galerkin integrals: Direct limits and symbolic computation
    • V. Sladek and J. Sladek, Editors, Computational Mechanics Publications, Southampton
    • GRAY, L. J., 1998, Evaluation of singular and hypersingular Galerkin integrals: direct limits and symbolic computation, in Advances in Boundary Elements, V. Sladek and J. Sladek, Editors, Computational Mechanics Publications, Southampton.
    • (1998) Advances in Boundary Elements
    • Gray, L.J.1
  • 24
    • 0023093273 scopus 로고
    • Stokes flow down a wall into an infinite pool
    • HANSEN, E. B., 1987, Stokes flow down a wall into an infinite pool, J. Fluid Mech., 178, 243-256.
    • (1987) J. Fluid Mech. , vol.178 , pp. 243-256
    • Hansen, E.B.1
  • 25
    • 0028179270 scopus 로고
    • An integral equation justification of the boundary conditions of the driven-cavity problem
    • HANSEN E. B. and KELMANSON, M. A., 1994, An integral equation justification of the boundary conditions of the driven-cavity problem, Comput. Fluids, 23, 225-240.
    • (1994) Comput. Fluids , vol.23 , pp. 225-240
    • Hansen, E.1    Kelmanson, M.A.2
  • 26
    • 84886764942 scopus 로고
    • On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres
    • HASIMOTO, H., 1959, On the periodic fundamental solutions of the Stokes equations and their application to viscous flow past a cubic array of spheres, J. Fluid Mech., 5, 317-328.
    • (1959) J. Fluid Mech. , vol.5 , pp. 317-328
    • Hasimoto, H.1
  • 27
    • 0000476195 scopus 로고
    • An Ewald summation method for planar surfaces and interfaces
    • HAUTMAN, J. and KLEIN, M. L., 1992, An Ewald summation method for planar surfaces and interfaces, Molecular Phys., 75, 379-395.
    • (1992) Molecular Phys , vol.75 , pp. 379-395
    • Hautman, J.1    Klein, M.L.2
  • 28
    • 0018432837 scopus 로고
    • A hydrodynamic analysis of flagellar propulsion
    • HIGDON, J. J. L., 1979, A hydrodynamic analysis of flagellar propulsion, J. Fluid Mech., 90, 685-711.
    • (1979) J. Fluid Mech. , vol.90 , pp. 685-711
    • Higdon, J.J.L.1
  • 29
    • 0022809889 scopus 로고
    • Grid optimization for the boundary element method
    • INGBER, M. S. and MITRA, A. K., 1986, Grid optimization for the boundary element method, Int. J. Num. Meth. Fluids, 23, 2121-2136.
    • (1986) Int. J. Num. Meth. Fluids , vol.23 , pp. 2121-2136
    • Ingber, M.S.1    Mitra, A.K.2
  • 30
    • 0027147256 scopus 로고
    • Direct second-kind boundary integral formulation for Stokes flow problems
    • INGBER, M. S. and MONDY, L. A., 1993, Direct second-kind boundary integral formulation for Stokes flow problems, Comput. Mech., 11, 11-27.
    • (1993) Comput. Mech. , vol.11 , pp. 11-27
    • Ingber, M.S.1    Mondy, L.A.2
  • 34
    • 0020914355 scopus 로고
    • Modified integral equation solution of viscous flows near sharp corners
    • KELMANSON, M. A., 1983, Modified integral equation solution of viscous flows near sharp corners, Comput. Fluids, 11, 307-324.
    • (1983) Comput. Fluids , vol.11 , pp. 307-324
    • Kelmanson, M.A.1
  • 35
    • 0002933289 scopus 로고
    • An integral equation method for the solution of singular Stokes flow problems
    • KELMANSON, M. A., 1983, An integral equation method for the solution of singular Stokes flow problems, J. Comp. Phys., 51, 139-158.
    • (1983) J. Comp. Phys. , vol.51 , pp. 139-158
    • Kelmanson, M.A.1
  • 36
    • 0029250707 scopus 로고
    • Annihilation of boundary singularities via suitable Green’s functions
    • KELMANSON, M. A. and LONGSDALE, B., 1995, Annihilation of boundary singularities via suitable Green’s functions, Comput. Math. Appl., 29, 1-7.
    • (1995) Comput. Math. Appl. , vol.29 , pp. 1-7
    • Kelmanson, M.A.1    Longsdale, B.2
  • 38
    • 0002723078 scopus 로고    scopus 로고
    • Adaptive triangulation of evolving, closed or open surfaces by the advancing-front method
    • KWAK, S. and POZRIKIDIS, C., 1998, Adaptive triangulation of evolving, closed or open surfaces by the advancing-front method, J. Comp. Phys., 145, 61-88.
    • (1998) J. Comp. Phys. , vol.145 , pp. 61-88
    • Kwak, S.1    Pozrikidis, C.2
  • 40
    • 0028465541 scopus 로고
    • Treatment of singularities in exterior fluid domains with corners using the boundary-element method
    • LESNIC, D., ELLIOTT, L., and INGHAM, D. B., 1994, Treatment of singularities in exterior fluid domains with corners using the boundary-element method, Comput. Fluids, 23, 817-827.
    • (1994) Comput. Fluids , vol.23 , pp. 817-827
    • Lesnic, D.1    Elliott, L.2    Ingham, D.B.3
  • 41
    • 0028747337 scopus 로고
    • A review of error estimation and adaptivity in the boundary-element method
    • LIAPIS, S., 1994, A review of error estimation and adaptivity in the boundary-element method, Eng. Anal. Bound. Elem., 14, 315-323.
    • (1994) Eng. Anal. Bound. Elem. , vol.14 , pp. 315-323
    • Liapis, S.1
  • 42
    • 85057704168 scopus 로고
    • Zit. K. Akad. W. Amsterdam, 5, 168-195; Ein allgemeiner satz, die bewegung einer reibenden flüssigkeit betreffend, nebst einigen anwendungen desselben, Abhandlungen über Theoretische Physik, Leipzig (1907), pp. 23-42; See also: A general theorem concerning the motion of a viscous fluid and a few consequences derived from it, H. A. Lorentz Collected Papers, Martinus Nijhoff Publishers, Haque
    • LORENTZ, H. A., 1896, Eene algemeene stelling omtrent de beweging eener vloeistof met wrijving en eenige daaruit afgeleide gevolgen, Zit. K. Akad. W. Amsterdam, 5, 168-195; Ein allgemeiner satz, die bewegung einer reibenden flüssigkeit betreffend, nebst einigen anwendungen desselben, Abhandlungen über Theoretische Physik, Leipzig (1907), pp. 23-42; See also: A general theorem concerning the motion of a viscous fluid and a few consequences derived from it, H. A. Lorentz Collected Papers, Martinus Nijhoff Publishers, Haque (1937).
    • (1896) Eene Algemeene Stelling Omtrent De Beweging Eener Vloeistof Met Wrijving En Eenige Daaruit Afgeleide Gevolgen
    • Lorentz, H.A.1
  • 44
    • 0000678059 scopus 로고
    • Mesh generation and refinement for FEM and BEM – a bibliography (1990 – 1993)
    • MACKERLE, J., 1993, Mesh generation and refinement for FEM and BEM – a bibliography (1990 – 1993), Fin. Elem. Anal. Des., 15, 177-188.
    • (1993) Fin. Elem. Anal. Des. , vol.15 , pp. 177-188
    • Mackerle, J.1
  • 45
    • 0003952728 scopus 로고
    • Methods of Theoretical Physics
    • McGraw Hill, New York
    • MORSE, P. M. and FESHBACH, H., 1953, Methods of Theoretical Physics, Part I., McGraw Hill, New York.
    • (1953) Part I.
    • Morse, P.M.1    Feshbach, H.2
  • 47
    • 0001476575 scopus 로고
    • A new approach to free vibration analysis using boundary elements
    • Brebbia, C. A., Ed., Springer-Verlag, Berlin
    • NARDINI, D. and BREBBIA, C. A., 1982, A new approach to free vibration analysis using boundary elements, in Boundary Element Methods in Engineering, Brebbia, C. A., Ed., Springer-Verlag, Berlin.
    • (1982) Boundary Element Methods in Engineering
    • Nardini, D.1    Brebbia, C.A.2
  • 49
    • 0027007197 scopus 로고
    • Boundary integral/spectral element approaches to the Navier-Stokes equations
    • OCCHIALINI, J. M., MULDOWNEY, G. P., and HIGDON, J. J. L., 1992, Boundary integral/spectral element approaches to the Navier-Stokes equations, Int. J. Num. Meth. Fluids, 15, 1361-1381.
    • (1992) Int. J. Num. Meth. Fluids , vol.15 , pp. 1361-1381
    • Occhialini, J.M.1    Muldowney, G.P.2    Higdon, J.J.L.3
  • 50
    • 0003836624 scopus 로고
    • Akademische Verlag, Leipzig
    • OSEEN, C. W., 1927, Hydrodynamik, Akademische Verlag, Leipzig.
    • (1927) Hydrodynamik
    • Oseen, C.W.1
  • 52
    • 0006425078 scopus 로고
    • Some numerical integration formulae over triangles and squares with a 1/R singularity
    • PINA, H. L. G., FERNANDES, J. L. M., and BREBBIA, C. A., 1981, Some numerical integration formulae over triangles and squares with a 1/R singularity, Appl. Math. Model., 5, 209-211.
    • (1981) Appl. Math. Model. , vol.5 , pp. 209-211
    • Pina, H.L.G.1    Fernandes, J.L.M.2    Brebbia, C.A.3
  • 53
    • 0025240138 scopus 로고
    • The instability of a moving viscous drop
    • POZRIKIDIS, C., 1990, The instability of a moving viscous drop, J. Fluid Mech., 210, 1-21.
    • (1990) J. Fluid Mech. , vol.210 , pp. 1-21
    • Pozrikidis, C.1
  • 54
    • 0025447672 scopus 로고
    • The deformation of a liquid drop moving normal to a plane wall
    • POZRIKIDIS, C., 1990, The deformation of a liquid drop moving normal to a plane wall. J. Fluid Mech., 215, 331-363.
    • (1990) J. Fluid Mech. , vol.215 , pp. 331-363
    • Pozrikidis, C.1
  • 56
    • 0026806630 scopus 로고
    • The buoyancy-driven motion of a train of viscous drops within a cylindrical tube
    • POZRIKIDIS, C., 1992, The buoyancy-driven motion of a train of viscous drops within a cylindrical tube, J. Fluid Mech., 237, 627-648.
    • (1992) J. Fluid Mech. , vol.237 , pp. 627-648
    • Pozrikidis, C.1
  • 57
    • 0030088283 scopus 로고    scopus 로고
    • Computation of periodic Green’s functions of Stokes flow
    • POZRIKIDIS, C., 1996, Computation of periodic Green’s functions of Stokes flow, J. Eng. Math., 30, 79-96.
    • (1996) J. Eng. Math. , vol.30 , pp. 79-96
    • Pozrikidis, C.1
  • 58
    • 0031104016 scopus 로고    scopus 로고
    • Unsteady heat or mass transport from a suspended particle at low Péclet number
    • POZRIKIDIS, C., 1997, Unsteady heat or mass transport from a suspended particle at low Péclet number. J. Fluid Mech., 334, 111-133.
    • (1997) J. Fluid Mech. , vol.334 , pp. 111-133
    • Pozrikidis, C.1
  • 61
    • 0035049258 scopus 로고    scopus 로고
    • Shear flow over a particular or fibrous plate
    • POZRIKIDIS, C., 2001, Shear flow over a particular or fibrous plate, J. Eng. Math., 39, 3-24.
    • (2001) J. Eng. Math. , pp. 3-24
    • Pozrikidis, C.1
  • 62
    • 0000736524 scopus 로고    scopus 로고
    • Interfacial Dynamics for Stokes flow
    • POZRIKIDIS, C., 2001, Interfacial Dynamics for Stokes flow, J. Comp. Phys., 169, 250-301.
    • (2001) J. Comp. Phys. , vol.169 , pp. 250-301
    • Pozrikidis, C.1
  • 63
    • 0037886169 scopus 로고    scopus 로고
    • Boundary-element grid optimization for Stokes flow with corner singularities
    • press
    • POZRIKIDIS, C., 2002, Boundary-element grid optimization for Stokes flow with corner singularities, J. Fluids Eng., in press.
    • (2002) J. Fluids Eng.
    • Pozrikidis, C.1
  • 64
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • SAAD, Y. and SCHULTZ, M. H., 1986, GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems, SIAM J. Sci. Stat. Comput., 7, 856-869.
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 65
    • 84976726863 scopus 로고
    • Numerical inversion of the Laplace transform
    • STEHFEST, C., 1970, Numerical inversion of the Laplace transform, Commun. ACS, 13, 47-49; 624.
    • (1970) Commun. ACS , vol.13-49 , Issue.47 , pp. 624
    • Stehfest, C.1
  • 67
    • 0030100625 scopus 로고    scopus 로고
    • Axisymmetric non-Newtonian drops treated with a boundary-integral method
    • TOOSE, E. M. et al., 1996, Axisymmetric non-Newtonian drops treated with a boundary-integral method, J. Eng. Math., 30, 131-150.
    • (1996) J. Eng. Math. , vol.30 , pp. 131-150
    • Toose, E.M.1
  • 68
    • 0030088242 scopus 로고    scopus 로고
    • Integral formulation to simulate the viscous sintering of a two-dimensional lattice of periodic unit cells
    • VAN DE VORST, G. A. L., 1996, Integral formulation to simulate the viscous sintering of a two-dimensional lattice of periodic unit cells, J. Eng. Math., 30, 97-118.
    • (1996) J. Eng. Math. , vol.30 , pp. 97-118
    • van De Vorst, G.A.L.1
  • 69
    • 0019572706 scopus 로고
    • The treatment of singularities in the calculation of stress intensity factors using the boundary integral equation method
    • XANTHIS, L. S., BERNAL, M. J. M., and ATKINSON, C., 1981, The treatment of singularities in the calculation of stress intensity factors using the boundary integral equation method, Comp. Meth. Appl. Mech. Eng., 26, 285-304.
    • (1981) Comp. Meth. Appl. Mech. Eng. , vol.26 , pp. 285-304
    • Xanthis, L.S.1    Bernal, M.J.M.2    Atkinson, C.3
  • 70
    • 0000549690 scopus 로고
    • On integral equations of the first kind with logarithmic kernels
    • YAN, Y. and SLOAN, I. H., 1988, On integral equations of the first kind with logarithmic kernels, J. Int. Eq. Appl., 1, 549-579.
    • (1988) J. Int. Eq. Appl. , vol.1 , pp. 549-579
    • Yan, Y.1    Sloan, I.H.2
  • 71
    • 0000705802 scopus 로고    scopus 로고
    • Deformation of a liquid drop adhering to a plane wall: Significance of the drop viscosity and the effect of an insoluble surfactant
    • YON, S. and POZRIKIDIS, C., 1999, Deformation of a liquid drop adhering to a plane wall: Significance of the drop viscosity and the effect of an insoluble surfactant, Phys. Fluids, 11, 1297-1308.
    • (1999) Phys. Fluids , vol.11 , pp. 1297-1308
    • Yon, S.1    Pozrikidis, C.2
  • 72
    • 0034514774 scopus 로고    scopus 로고
    • Solution of the Navier-Stokes equations in velocity-vorticity form using a Eulerian-Lagrangian boundary element method
    • YOUNG, D. L., YANG, S. K., and ELDHO, T. I., 2000, Solution of the Navier-Stokes equations in velocity-vorticity form using a Eulerian-Lagrangian boundary element method, Int. J. Num. Meth. Fluids, 34, 627-650.
    • (2000) Int. J. Num. Meth. Fluids , vol.34 , pp. 627-650
    • Young, D.L.1    Yang, S.K.2    Eldho, T.I.3
  • 73
    • 0027455679 scopus 로고
    • The flow of suspensions in channels: Single files of drops
    • ZHOU, H. and POZRIKIDIS, C., 1993, The flow of suspensions in channels: single files of drops, Phys. Fluids A, 5, 311-324.
    • (1993) Phys. Fluids A , vol.5 , pp. 311-324
    • Zhou, H.1    Pozrikidis, C.2


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