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Volumn 173, Issue 3-4, 1999, Pages 433-447

An error estimation measure in the direct BEM formulation by the external Somigliana's identity

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; ERROR ANALYSIS; ESTIMATION; INTEGRAL EQUATIONS;

EID: 0032675824     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00296-5     Document Type: Article
Times cited : (4)

References (40)
  • 1
    • 0028742559 scopus 로고
    • Recent studies on adaptive boundary element methods
    • [1] E. Kita and N. Kamiya, Recent studies on adaptive boundary element methods, Adv. Engrg. Software 19 (1994) 21-32.
    • (1994) Adv. Engrg. Software , vol.19 , pp. 21-32
    • Kita, E.1    Kamiya, N.2
  • 2
    • 0004700970 scopus 로고
    • Error estimation and adaptivity in boundary element method
    • S.N. Atluri, G. Yagawa and T.A. Cruse, eds., Springer-Verlag, New York
    • [2] S. Liapis, Error estimation and adaptivity in boundary element method, in: S.N. Atluri, G. Yagawa and T.A. Cruse, eds., Computational Mechanics '95: Vol. 2 (Springer-Verlag, New York, 1995) 2659-2664.
    • (1995) Computational Mechanics '95 , vol.2 , pp. 2659-2664
    • Liapis, S.1
  • 3
    • 0027001069 scopus 로고
    • Feasible error estimates in boundary element methods
    • C.A. Brebbia and M.S. Ingber, eds., Comput. Mech. Publ., Southampton
    • [3] G.C. Hsiao and R.E. Kleinman, Feasible error estimates in boundary element methods, in: C.A. Brebbia and M.S. Ingber, eds., Boundary Element Technology VII (Comput. Mech. Publ., Southampton, 1992) 875-886.
    • (1992) Boundary Element Technology , vol.7 , pp. 875-886
    • Hsiao, G.C.1    Kleinman, R.E.2
  • 4
    • 0004727031 scopus 로고
    • Residual error - A simple and sufficient estimate of actual error in solutions of boundary integral equations
    • S. Grilli, A.H.D. Cheng and C.A. Brebbia, eds., Comput. Mech. Publ., Southampton
    • [4] G.C. Hsiao, R.E. Kleinman, R.X. Li and P.M. van den Berg, Residual error - A simple and sufficient estimate of actual error in solutions of boundary integral equations, in: S. Grilli, A.H.D. Cheng and C.A. Brebbia, eds., Computational Engineering with Boundary Elements (Comput. Mech. Publ., Southampton, 1990) 73-83.
    • (1990) Computational Engineering with Boundary Elements , pp. 73-83
    • Hsiao, G.C.1    Kleinman, R.E.2    Li, R.X.3    Van Den Berg, P.M.4
  • 5
    • 0001478803 scopus 로고
    • Adaptive boundary element methods
    • C.A. Brebbia, W.L, Wendland and G. Kuhn, eds., Comput. Mech. Publ., Southampton
    • [5] E. Rank, Adaptive boundary element methods, in: C.A. Brebbia, W.L, Wendland and G. Kuhn, eds., Boundary Elements IX (Comput. Mech. Publ., Southampton, 1987) 259-278.
    • (1987) Boundary Elements , vol.9 , pp. 259-278
    • Rank, E.1
  • 6
    • 0343274212 scopus 로고
    • Asymptotic accuracy and convergence
    • C.A. Brebbia, ed., Chap. 9 Pentech Press
    • [6] W.L. Wendland, Asymptotic accuracy and convergence, in: C.A. Brebbia, ed., Progress in Boundary Element Methods, Chap. 9 (Pentech Press, 1989).
    • (1989) Progress in Boundary Element Methods
    • Wendland, W.L.1
  • 7
    • 0026994576 scopus 로고
    • Quadratic h-hierarchical adaptive boundary elements
    • C.A. Brebbia and M.S. Ingber, eds., Comput. Mech. Publ., Southampton
    • [7] Y.F. Dong and P. Parreira, Quadratic h-hierarchical adaptive boundary elements, in: C.A. Brebbia and M.S. Ingber, eds., Boundary Element Technology VII (Comput. Mech. Publ., Southampton, 1990) 835-850.
    • (1990) Boundary Element Technology , vol.7 , pp. 835-850
    • Dong, Y.F.1    Parreira, P.2
  • 8
    • 38249014288 scopus 로고
    • Adaptive hierarchical boundary elements
    • [8] P. Parreira and Y.F. Dong, Adaptive hierarchical boundary elements, Adv. Engrg. Software 15 (1992) 249-259.
    • (1992) Adv. Engrg. Software , vol.15 , pp. 249-259
    • Parreira, P.1    Dong, Y.F.2
  • 9
    • 0024673762 scopus 로고
    • Adaptive h-, p-and hp-versions for boundary integral element methods
    • [9] E. Rank, Adaptive h-, p-and hp-versions for boundary integral element methods, Int. J. Numer. Methods Engrg. 28 (1989) 1335-1349.
    • (1989) Int. J. Numer. Methods Engrg. , vol.28 , pp. 1335-1349
    • Rank, E.1
  • 10
    • 0001944121 scopus 로고
    • Adaptivity and accuracy estimation for finite element and boundary integral element methods
    • I. Babuska, O.C. Zienkiewicz, J. Gago and E.R. Oliveira, eds., John Wiley, New York
    • [10] E. Rank, Adaptivity and accuracy estimation for finite element and boundary integral element methods, in: I. Babuska, O.C. Zienkiewicz, J. Gago and E.R. Oliveira, eds., Accuracy Estimates and Adaptive Refinements in Finite Element Computations (John Wiley, New York, 1986) 79-94.
    • (1986) Accuracy Estimates and Adaptive Refinements in Finite Element Computations , pp. 79-94
    • Rank, E.1
  • 11
    • 0027004862 scopus 로고
    • An approach to h-adaptive boundary element method using local reanalysis
    • C.A. Brebbia and M.S. Ingber, eds., Comput. Mech. Publ., Southampton
    • [11] A. Charafi, L.C. Wrobel and R. Adey, An approach to h-adaptive boundary element method using local reanalysis, in: C.A. Brebbia and M.S. Ingber, eds., Boundary Element Technology VII (Comput. Mech. Publ., Southampton, 1992) 905-918.
    • (1992) Boundary Element Technology , vol.7 , pp. 905-918
    • Charafi, A.1    Wrobel, L.C.2    Adey, R.3
  • 12
    • 0000114937 scopus 로고
    • A new adaptive boundary element refinement based on simple algorithm
    • [12] E. Kita and N. Kamiya, A new adaptive boundary element refinement based on simple algorithm, Mech. Res. Comm. 18 (1991) 177-186.
    • (1991) Mech. Res. Comm. , vol.18 , pp. 177-186
    • Kita, E.1    Kamiya, N.2
  • 13
    • 0000250080 scopus 로고
    • An accuracy postprocessor for boundary element analysis
    • C.A, Brebbia, ed., Comput. Mech. Publ., Southampton
    • [13] J.J. Rencis and K.Y. Jong, An accuracy postprocessor for boundary element analysis, in: C.A, Brebbia, ed., Boundary Elements X (Comput. Mech. Publ., Southampton, 1988) 187-203.
    • (1988) Boundary Elements X , pp. 187-203
    • Rencis, J.J.1    Jong, K.Y.2
  • 14
    • 0004723981 scopus 로고
    • A self-adaptive boundary element technique for 2D potential analysis
    • M. Tanaka and T.A. Cruse, eds., Pergamon Press, Oxford
    • [14] J.J. Rencis and K.Y. Jong, A self-adaptive boundary element technique for 2D potential analysis, in: M. Tanaka and T.A. Cruse, eds., Boundary Element Methods in Applied Mechanics (Pergamon Press, Oxford, 1988) 81-90.
    • (1988) Boundary Element Methods in Applied Mechanics , pp. 81-90
    • Rencis, J.J.1    Jong, K.Y.2
  • 15
    • 0024717334 scopus 로고
    • A self-adaptive h-refinement technique for the boundary element method
    • [15] J.J. Rencis and K.Y. Jong, A self-adaptive h-refinement technique for the boundary element method, Comput. Methods Appl. Mech. Engrg. 73 (1989) 295-316.
    • (1989) Comput. Methods Appl. Mech. Engrg. , vol.73 , pp. 295-316
    • Rencis, J.J.1    Jong, K.Y.2
  • 16
    • 0004691663 scopus 로고
    • A geometric preprocessor for an h-refinement technique for the boundary element method
    • T.A. Cruse, ed., Springer Verlag, Berlin
    • [16] J.J. Rencis and R.L. Mullen, A geometric preprocessor for an h-refinement technique for the boundary element method, in: T.A. Cruse, ed., Advanced Boundary Element Methods (Springer Verlag, Berlin, 1987) 333-342.
    • (1987) Advanced Boundary Element Methods , pp. 333-342
    • Rencis, J.J.1    Mullen, R.L.2
  • 17
    • 0022766784 scopus 로고
    • Solution of elasticity problems by a self-adaptive mesh refinement technique for boundary element computation
    • [17] J.J. Rencis and R.L. Mullen, Solution of elasticity problems by a self-adaptive mesh refinement technique for boundary element computation, Int. J. Numer. Methods Engrg. 23 (1986) 1509-1527.
    • (1986) Int. J. Numer. Methods Engrg. , vol.23 , pp. 1509-1527
    • Rencis, J.J.1    Mullen, R.L.2
  • 18
    • 0004668037 scopus 로고
    • Absolute p-refinement of boundary elements for two-dimensional elasticity problems
    • C.A. Brebbia and J.J. Connor, eds., Comput. Mech. Publ., Southampton
    • [18] T.J. Urekew and J.J. Rencis, Absolute p-refinement of boundary elements for two-dimensional elasticity problems, in: C.A. Brebbia and J.J. Connor, eds., Advances in Boundary Elements (Comput. Mech. Publ., Southampton, 1989) 77-93.
    • (1989) Advances in Boundary Elements , pp. 77-93
    • Urekew, T.J.1    Rencis, J.J.2
  • 19
    • 0000914191 scopus 로고
    • Adaptive mesh refinement technique for boundary element methods
    • T.A. Cruse, A.B. Pifko and H. Armen, eds., ASME
    • [19] R.L. Mullen and J.J. Rencis, Adaptive mesh refinement technique for boundary element methods, in: T.A. Cruse, A.B. Pifko and H. Armen, eds., Advanced Topics in Boundary Element Analysis (ASME, 1985) 235-255.
    • (1985) Advanced Topics in Boundary Element Analysis , pp. 235-255
    • Mullen, R.L.1    Rencis, J.J.2
  • 20
    • 0026204823 scopus 로고
    • Local and global accuracy estimate for boundary element method
    • [20] J.J. Rencis, D.A. Hopkins and C.C. Chamis, Local and global accuracy estimate for boundary element method, Finite Elem. Anal. Des. 9 (1991) 229-245.
    • (1991) Finite Elem. Anal. Des. , vol.9 , pp. 229-245
    • Rencis, J.J.1    Hopkins, D.A.2    Chamis, C.C.3
  • 21
    • 0025430581 scopus 로고
    • Error indicators for adaptive mesh refinement in the boundary element method - A new approach
    • [21] M. Guiggiani, Error indicators for adaptive mesh refinement in the boundary element method - A new approach, Int. J. Numer. Methods Engrg. 29 (1990) 1247-1269.
    • (1990) Int. J. Numer. Methods Engrg. , vol.29 , pp. 1247-1269
    • Guiggiani, M.1
  • 22
    • 0004684042 scopus 로고
    • Non-residual-type accurate estimates and adaptive refinement in boundary element analysis
    • C.A. Brebbia and N.G. Zamani, eds., Comput. Mech. Publ., Southampton
    • [22] M. Guiggiani, Non-residual-type accurate estimates and adaptive refinement in boundary element analysis, in: C.A. Brebbia and N.G. Zamani, eds., Boundary Element Techniques: Applications in Engineering (Comput. Mech. Publ., Southampton, 1989) 323-340.
    • (1989) Boundary Element Techniques: Applications in Engineering , pp. 323-340
    • Guiggiani, M.1
  • 23
    • 38249014067 scopus 로고
    • Self-adaptive boundary elements with h-hierarchical shape functions
    • [23] M. Guiggiani and F. Lombardi, Self-adaptive boundary elements with h-hierarchical shape functions, Adv. Engrg. Software 15 (1992) 269-277.
    • (1992) Adv. Engrg. Software , vol.15 , pp. 269-277
    • Guiggiani, M.1    Lombardi, F.2
  • 26
    • 0022809889 scopus 로고
    • Grid optimization for the boundary element method
    • [26] M.S. Ingber and A.K. Mitra, Grid optimization for the boundary element method, Int. J. Numer. Methods Engrg. 23 (1986) 2121-2136.
    • (1986) Int. J. Numer. Methods Engrg. , vol.23 , pp. 2121-2136
    • Ingber, M.S.1    Mitra, A.K.2
  • 27
    • 0040113071 scopus 로고
    • Adaptivity and accuracy estimation for FEM and BIEM
    • C.A. Brebbia and M.H. Aliabadi, eds., Chap. 1 Comput. Mech. Publ., Southampton
    • [27] E, Rank, Adaptivity and accuracy estimation for FEM and BIEM, in: C.A. Brebbia and M.H. Aliabadi, eds., Adaptive Finite and Boundary Element Methods, Chap. 1 (Comput. Mech. Publ., Southampton, 1992).
    • (1992) Adaptive Finite and Boundary Element Methods
    • Rank, E.1
  • 28
    • 0004700963 scopus 로고
    • An h-p version of BEM for plane mixed boundary value problem
    • C.A. Brebbia and J.J. Connor, eds., Comput. Mech. Publ., Southampton
    • [28] B.Q. Guo, T, von Petersdorff and E.P. Stephan, An h-p version of BEM for plane mixed boundary value problem, in: C.A. Brebbia and J.J. Connor, eds., Advances in Boundary Elements (Comput. Mech. Publ., Southampton, 1989) 105-121.
    • (1989) Advances in Boundary Elements , pp. 105-121
    • Guo, B.Q.1    Von Petersdorff, T.2    Stephan, E.P.3
  • 29
    • 0004693266 scopus 로고
    • The h-p version of the Galerkin boundary element method for integral equations on polygons and open arcs
    • C.A. Brebbia, ed., Comput. Mech. Publ., Southampton
    • [29] E.P. Stephan, The h-p version of the Galerkin boundary element method for integral equations on polygons and open arcs, in: C.A. Brebbia, ed., Boundary Elements X (Comput. Mech. Publ., Southampton, 1988) 205-216.
    • (1988) Boundary Elements , vol.10 , pp. 205-216
    • Stephan, E.P.1
  • 33
    • 0014627423 scopus 로고
    • Numerical solutions in three-dimensional elastostatics
    • [33] T.A. Cruse, Numerical solutions in three-dimensional elastostatics, Int. J. Solids Struct. 5 (1969) 1259-1274.
    • (1969) Int. J. Solids Struct. , vol.5 , pp. 1259-1274
    • Cruse, T.A.1
  • 34
    • 0014522394 scopus 로고
    • The elastic field of a crack extending non-uniformly under general anti-plane loading
    • [34] J.D. Eshelby, The elastic field of a crack extending non-uniformly under general anti-plane loading, J. Mech. Phys. Solids 17 (1969) 177-199.
    • (1969) J. Mech. Phys. Solids , vol.17 , pp. 177-199
    • Eshelby, J.D.1
  • 35
    • 0018923403 scopus 로고
    • On a unified boundary-integral equation method
    • [35] N.L. Altiero and S.D. Gavazza, On a unified boundary-integral equation method, J. Elasticity 10(1) (1980) 1-9.
    • (1980) J. Elasticity , vol.10 , Issue.1 , pp. 1-9
    • Altiero, N.L.1    Gavazza, S.D.2
  • 36
    • 0031080261 scopus 로고    scopus 로고
    • Complex variable approach to the BEM for multiple crack problems
    • [36] M. Denda and Y.F. Dong, Complex variable approach to the BEM for multiple crack problems, Comput. Methods Appl. Mech. Engrg. 141 (1997) 247-264.
    • (1997) Comput. Methods Appl. Mech. Engrg. , vol.141 , pp. 247-264
    • Denda, M.1    Dong, Y.F.2
  • 37
    • 0024019511 scopus 로고
    • Complex variable Green's function representation of plane inelastic deformation in isotropic solids
    • [37] M. Denda, Complex variable Green's function representation of plane inelastic deformation in isotropic solids, Acta Mechanica 72 (1988) 205-221.
    • (1988) Acta Mechanica , vol.72 , pp. 205-221
    • Denda, M.1
  • 38
    • 0024134486 scopus 로고
    • Formulation of the plastic source method for plane inelastic problems, Part 1: Green's functions for plane inelastic deformation
    • [38] M. Denda, Formulation of the plastic source method for plane inelastic problems, Part 1: Green's functions for plane inelastic deformation, Acta Mechanica 75 (1988) 93-109.
    • (1988) Acta Mechanica , vol.75 , pp. 93-109
    • Denda, M.1
  • 40
    • 0032786188 scopus 로고    scopus 로고
    • Analytical formulas for a 2-D crack tip singular boundary element for rectilinear cracks and crack growth analysis
    • [40] M. Denda and Y.F. Dong, Analytical formulas for a 2-D crack tip singular boundary element for rectilinear cracks and crack growth analysis, Int. J. Engrg. Anal. Boundary Elem. 23(1) (1998) 35-49.
    • (1998) Int. J. Engrg. Anal. Boundary Elem. , vol.23 , Issue.1 , pp. 35-49
    • Denda, M.1    Dong, Y.F.2


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