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Volumn 20, Issue 2, 2012, Pages 189-207

Boundary particle method for Cauchy inhomogeneous potential problems

Author keywords

boundary particle method, truncated singular value decomposition, inverse Cauchy problem, meshless, collocation method

Indexed keywords

ANALYTICAL SOLUTIONS; BOUNDARY KNOT METHOD; BOUNDARY PARTICLE METHODS; COMPUTATIONALLY EFFICIENT; CONNECTED DOMAINS; DISCRETIZATIONS; DUAL RECIPROCITY; ELEMENT METHOD; HIGHER ORDER; INHOMOGENEOUS PROBLEMS; INVERSE ENGINEERING; IRREGULAR SHAPE; L-SHAPED DOMAIN; MESH-LESS METHODS; MESHLESS; NUMERICAL CONVERGENCE; NUMERICAL EXPERIMENTS; PARTICULAR SOLUTION; PHYSICAL DOMAIN; PIECEWISE SMOOTH BOUNDARY; POTENTIAL PROBLEMS; REGULARIZATION TECHNIQUE; RIGHT-HAND SIDES; SOURCE TERMS; TRIGONOMETRIC FUNCTIONS; TRUNCATED SINGULAR VALUE DECOMPOSITION;

EID: 84859512765     PISSN: 17415977     EISSN: 17415985     Source Type: Journal    
DOI: 10.1080/17415977.2011.603085     Document Type: Article
Times cited : (38)

References (30)
  • 1
    • 0034307952 scopus 로고    scopus 로고
    • The boundary element solution of the Cauchy steady heat conduction problem in an anisotropic medium
    • Mera, NS, Elliott, L, Ingham, DB and Lesnic, D. 2000. The boundary element solution of the Cauchy steady heat conduction problem in an anisotropic medium. Int. J. Numer. Methods Eng., 49(4): 481-499.
    • (2000) Int. J. Numer. Methods Eng , vol.49 , Issue.4 , pp. 481-499
    • Mera, N.S.1    Elliott, L.2    Ingham, D.B.3    Lesnic, D.4
  • 2
    • 0037474371 scopus 로고    scopus 로고
    • An alternating iterative algorithm for the Cauchy problem associated to the Helmholtz equation
    • Marin, L, Elliott, L, Heggs, PJ, Ingham, DB, Lesnic, D and Wen, X. 2003. An alternating iterative algorithm for the Cauchy problem associated to the Helmholtz equation. Comput. Methods Appl. Mech. Eng., 192(5-6): 709-722.
    • (2003) Comput. Methods Appl. Mech. Eng , vol.192 , Issue.5-6 , pp. 709-722
    • Marin, L.1    Elliott, L.2    Heggs, P.J.3    Ingham, D.B.4    Lesnic, D.5    Wen, X.6
  • 3
    • 34347253878 scopus 로고    scopus 로고
    • An alternating iterative algorithm for the Cauchy problem in anisotropic elasticity
    • Comino, L, Marin, L and Gallego, R. 2007. An alternating iterative algorithm for the Cauchy problem in anisotropic elasticity. Eng. Anal. Bound. Elem., 31(8): 667-682.
    • (2007) Eng. Anal. Bound. Elem , vol.31 , Issue.8 , pp. 667-682
    • Comino, L.1    Marin, L.2    Gallego, R.3
  • 4
    • 0035479797 scopus 로고    scopus 로고
    • Boundary element method for the Cauchy problem in linear elasticity
    • Marin, L, Elliott, L, Ingham, DB and Lesnic, D. 2001. Boundary element method for the Cauchy problem in linear elasticity. Eng. Anal. Bound. Elem., 25(9): 783-793.
    • (2001) Eng. Anal. Bound. Elem , vol.25 , Issue.9 , pp. 783-793
    • Marin, L.1    Elliott, L.2    Ingham, D.B.3    Lesnic, D.4
  • 5
    • 0242657678 scopus 로고    scopus 로고
    • The dual reciprocity boundary element method for solving Cauchy problems associated to the Poisson equation
    • Farcas, A, Elliott, L, Ingham, DB and Lesnic, D. 2003. The dual reciprocity boundary element method for solving Cauchy problems associated to the Poisson equation. Eng. Anal. Bound. Elem., 27(10): 955-962.
    • (2003) Eng. Anal. Bound. Elem , vol.27 , Issue.10 , pp. 955-962
    • Farcas, A.1    Elliott, L.2    Ingham, D.B.3    Lesnic, D.4
  • 6
    • 0032344733 scopus 로고    scopus 로고
    • The method of fundamental solutions for elliptic boundary value problems
    • Fairweather, G and Karageorghis, A. 1998. The method of fundamental solutions for elliptic boundary value problems. Adv. Comput. Math., 9(1-2): 69-95.
    • (1998) Adv. Comput. Math , vol.9 , Issue.1-2 , pp. 69-95
    • Fairweather, G.1    Karageorghis, A.2
  • 7
    • 33646130396 scopus 로고    scopus 로고
    • Some comments on the ill-conditioning of the method of fundamental solutions
    • Chen, CS, Cho, HA and Golberg, MA. 2006. Some comments on the ill-conditioning of the method of fundamental solutions. Eng. Anal. Bound. Elem., 30(5): 405-410.
    • (2006) Eng. Anal. Bound. Elem , vol.30 , Issue.5 , pp. 405-410
    • Chen, C.S.1    Cho, H.A.2    Golberg, M.A.3
  • 8
    • 0036467593 scopus 로고    scopus 로고
    • A meshless, integration-free, and boundary-only RBF technique
    • Chen, W and Tanaka, M. 2002. A meshless, integration-free, and boundary-only RBF technique. Comput. Math. Appl., 43(3-5): 379-391.
    • (2002) Comput. Math. Appl , vol.43 , Issue.3-5 , pp. 379-391
    • Chen, W.1    Tanaka, M.2
  • 9
    • 58149525832 scopus 로고    scopus 로고
    • A highly accurate MCTM for inverse Cauchy problems of Laplace equation in arbitrary plane domains
    • Liu, CS. 2008. A highly accurate MCTM for inverse Cauchy problems of Laplace equation in arbitrary plane domains. Comput. Model. Eng. Sci., 35: 91-111.
    • (2008) Comput. Model. Eng. Sci , vol.35 , pp. 91-111
    • Liu, C.S.1
  • 10
    • 61449243578 scopus 로고    scopus 로고
    • Reconstruction of the corrosion boundary for the Laplace equation by using a boundary collocation method
    • Yang, F, Yan, L and Wei, T. 2009. Reconstruction of the corrosion boundary for the Laplace equation by using a boundary collocation method. Math. Comput. Simul., 79(7): 2148-2156.
    • (2009) Math. Comput. Simul , vol.79 , Issue.7 , pp. 2148-2156
    • Yang, F.1    Yan, L.2    Wei, T.3
  • 11
    • 20344402529 scopus 로고    scopus 로고
    • Novel meshless method for solving the potential problems with arbitrary domain
    • Young, DL, Chen, KH and Lee, CW. 2005. Novel meshless method for solving the potential problems with arbitrary domain. J. Comput. Phys., 209(1): 290-321.
    • (2005) J. Comput. Phys , vol.209 , Issue.1 , pp. 290-321
    • Young, D.L.1    Chen, K.H.2    Lee, C.W.3
  • 12
    • 49749085551 scopus 로고    scopus 로고
    • Boundary control for inverse Cauchy problems of the Laplace equations
    • Ling, L and Takeuchi, T. 2008. Boundary control for inverse Cauchy problems of the Laplace equations. Comput. Model. Eng. Sci., 29(1): 45-54.
    • (2008) Comput. Model. Eng. Sci , vol.29 , Issue.1 , pp. 45-54
    • Ling, L.1    Takeuchi, T.2
  • 13
    • 55549084883 scopus 로고    scopus 로고
    • The method of fundamental solutions for inverse problems associated with the steady-state heat conduction in the presence of sources
    • Marin, L. 2008. The method of fundamental solutions for inverse problems associated with the steady-state heat conduction in the presence of sources. Comput. Model. Eng. Sci., 30: 99-122.
    • (2008) Comput. Model. Eng. Sci , vol.30 , pp. 99-122
    • Marin, L.1
  • 14
    • 33847032040 scopus 로고    scopus 로고
    • Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators
    • Wei, T, Hon, YC and Ling, L. 2007. Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators. Eng. Anal. Bound. Elem., 31(4): 373-385.
    • (2007) Eng. Anal. Bound. Elem , vol.31 , Issue.4 , pp. 373-385
    • Wei, T.1    Hon, Y.C.2    Ling, L.3
  • 15
    • 38849085183 scopus 로고    scopus 로고
    • The method of fundamental solutions and condition number analysis for inverse problems of Laplace equation
    • Young, DL, Tsai, CC, Chen, CW and Fan, CM. 2008. The method of fundamental solutions and condition number analysis for inverse problems of Laplace equation. Comput. Math. Appl., 55(6): 1189-1200.
    • (2008) Comput. Math. Appl , vol.55 , Issue.6 , pp. 1189-1200
    • Young, D.L.1    Tsai, C.C.2    Chen, C.W.3    Fan, C.M.4
  • 16
    • 60449101220 scopus 로고    scopus 로고
    • Desingularized meshless method for solving Laplace equation with over-specified boundary conditions using regularization techniques
    • Chen, K, Kao, J, Chen, J and Wu, K. 2009. Desingularized meshless method for solving Laplace equation with over-specified boundary conditions using regularization techniques. Comput. Mech., 43(6): 827-837.
    • (2009) Comput. Mech , vol.43 , Issue.6 , pp. 827-837
    • Chen, K.1    Kao, J.2    Chen, J.3    Wu, K.4
  • 17
    • 70350148229 scopus 로고    scopus 로고
    • Boundary particle method for inverse Cauchy problems of inhomogeneous Helmholtz equations
    • Chen, W and Fu, ZJ. 2009. Boundary particle method for inverse Cauchy problems of inhomogeneous Helmholtz equations. J. Marine Sci. Technol.-Taiwan, 17(3): 157-163.
    • (2009) J. Marine Sci. Technol.-Taiwan , vol.17 , Issue.3 , pp. 157-163
    • Chen, W.1    Fu, Z.J.2
  • 18
    • 15844371536 scopus 로고    scopus 로고
    • Boundary knot method for some inverse problems associated with the Helmholtz equation
    • Jin, B and Zheng, Y. 2005. Boundary knot method for some inverse problems associated with the Helmholtz equation. Int. J. Numer. Methods Eng., 62(12): 1636-1651.
    • (2005) Int. J. Numer. Methods Eng , vol.62 , Issue.12 , pp. 1636-1651
    • Jin, B.1    Zheng, Y.2
  • 20
    • 0026961911 scopus 로고
    • Comparison of the dual reciprocity and the multiple reciprocity methods
    • Nowak, AJ and Partridge, PW. 1992. Comparison of the dual reciprocity and the multiple reciprocity methods. Eng. Anal. Bound. Elem., 10(2): 155-160.
    • (1992) Eng. Anal. Bound. Elem , vol.10 , Issue.2 , pp. 155-160
    • Nowak, A.J.1    Partridge, P.W.2
  • 21
    • 20744441657 scopus 로고    scopus 로고
    • General solutions and fundamental solutions of varied orders to the vibrational thin, the Berger, and the Winkler plates
    • Chen, W, Shen, ZJ, Shen, LJ and Yuan, GW. 2005. General solutions and fundamental solutions of varied orders to the vibrational thin, the Berger, and the Winkler plates. Eng. Anal. Bound. Elem., 29(7): 699-702.
    • (2005) Eng. Anal. Bound. Elem , vol.29 , Issue.7 , pp. 699-702
    • Chen, W.1    Shen, Z.J.2    Shen, L.J.3    Yuan, G.W.4
  • 22
    • 77951453013 scopus 로고    scopus 로고
    • Boundary particle method with high-order Trefftz functions
    • Chen, W, Fu, ZJ and Qin, QH. 2009. Boundary particle method with high-order Trefftz functions. CMC: Comput. Mater. Continua, 13(3): 201-218.
    • (2009) CMC: Comput. Mater. Continua , vol.13 , Issue.3 , pp. 201-218
    • Chen, W.1    Fu, Z.J.2    Qin, Q.H.3
  • 23
    • 0029194328 scopus 로고
    • Higher order three-dimensional fundamental solutions to the Helmholtz and the modified Helmholtz equations
    • Itagaki, M. 1995. Higher order three-dimensional fundamental solutions to the Helmholtz and the modified Helmholtz equations. Eng. Anal. Bound. Elem., 15(3): 289-293.
    • (1995) Eng. Anal. Bound. Elem , vol.15 , Issue.3 , pp. 289-293
    • Itagaki, M.1
  • 24
    • 72149114867 scopus 로고    scopus 로고
    • A truly boundary-only meshfree method for inhomogeneous problems based on recursive composite multiple reciprocity technique
    • Chen, W, Fu, ZJ and Jin, BT. 2010. A truly boundary-only meshfree method for inhomogeneous problems based on recursive composite multiple reciprocity technique. Eng. Anal. Bound. Elem., 34(3): 196-205.
    • (2010) Eng. Anal. Bound. Elem , vol.34 , Issue.3 , pp. 196-205
    • Chen, W.1    Fu, Z.J.2    Jin, B.T.3
  • 25
    • 13344267706 scopus 로고
    • REGULARIZATION TOOLS: A Matlab package for analysis and solution of discrete ill-posed problems
    • Hansen, P. 1994. REGULARIZATION TOOLS: A Matlab package for analysis and solution of discrete ill-posed problems. Numer. Algor., 6(1): 1-35.
    • (1994) Numer. Algor , vol.6 , Issue.1 , pp. 1-35
    • Hansen, P.1
  • 26
    • 0023570429 scopus 로고
    • The truncated SVD as a method for regularization
    • Hansen, PC. 1987. The truncated SVD as a method for regularization. BIT Numer. Math., 27(4): 534-553.
    • (1987) BIT Numer. Math , vol.27 , Issue.4 , pp. 534-553
    • Hansen, P.C.1
  • 27
    • 0031219785 scopus 로고    scopus 로고
    • An iterative boundary element method for solving numerically the Cauchy problem for the Laplace equation
    • Lesnic, D, Elliott, L and Ingham, DB. 1997. An iterative boundary element method for solving numerically the Cauchy problem for the Laplace equation. Eng. Anal. Bound. Elem., 20(2): 123-133.
    • (1997) Eng. Anal. Bound. Elem , vol.20 , Issue.2 , pp. 123-133
    • Lesnic, D.1    Elliott, L.2    Ingham, D.B.3
  • 28
    • 78650771988 scopus 로고    scopus 로고
    • Relaxation procedures for an iterative MFS algorithm for two-dimensional steady-state isotropic heat conduction Cauchy problems
    • Marin, L. 2011. Relaxation procedures for an iterative MFS algorithm for two-dimensional steady-state isotropic heat conduction Cauchy problems. Eng. Anal. Bound. Elem., 35(3): 415-429.
    • (2011) Eng. Anal. Bound. Elem , vol.35 , Issue.3 , pp. 415-429
    • Marin, L.1
  • 30
    • 0342955473 scopus 로고    scopus 로고
    • A numerical computation for inverse boundary determination problem
    • Hon, YC and Wu, Z. 2000. A numerical computation for inverse boundary determination problem. Eng. Anal. Bound. Elem., 24(7-8): 599-606.
    • (2000) Eng. Anal. Bound. Elem , vol.24 , Issue.7-8 , pp. 599-606
    • Hon, Y.C.1    Wu, Z.2


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