메뉴 건너뛰기




Volumn , Issue , 2006, Pages 33-58

The artificial boundary method- numerical solutions of partial differential equations on unbounded domains

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85115980809     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1142/9789812774194_0003     Document Type: Chapter
Times cited : (17)

References (80)
  • 1
    • 0037142938 scopus 로고    scopus 로고
    • Nonreflecting boundary conditions for the time-dependent wave equations
    • B. Alpert, L. Greengard and T. Hagstrom. Nonreflecting boundary conditions for the time-dependent wave equations. J. Comput. Phys., 180:270-296, 2002.
    • (2002) J. Comput. Phys. , vol.180 , pp. 270-296
    • Alpert, B.1    Greengard, L.2    Hagstrom, T.3
  • 2
    • 0032069460 scopus 로고    scopus 로고
    • The approximations of the exact boundary condition at an artificial boundary for linearized incompressible viscous flows
    • W. Z. Bao. The approximations of the exact boundary condition at an artificial boundary for linearized incompressible viscous flows. J. Comput. Math., 16:239-256, 1998.
    • (1998) J. Comput. Math. , vol.16 , pp. 239-256
    • Bao, W.Z.1
  • 3
    • 0034233999 scopus 로고    scopus 로고
    • Artificial boundary conditions for incompressible Navier-Stokes equations: A well-posed result
    • W. Z. Bao. Artificial boundary conditions for incompressible Navier-Stokes equations: A well-posed result. Comput. Methods. Appl. Meth. Engrg., 188:595-611, 2000.
    • (2000) Comput. Methods. Appl. Meth. Engrg. , vol.188 , pp. 595-611
    • Bao, W.Z.1
  • 4
    • 0030161417 scopus 로고    scopus 로고
    • Nonlocal artificial boundary conditions for the incompressible viscous flow in a channel using spectral techniques
    • W. Z. Bao and H. D. Han. Nonlocal artificial boundary conditions for the incompressible viscous flow in a channel using spectral techniques. Journal of Computational Physics, 126:52-63, 1996.
    • (1996) Journal of Computational Physics , vol.126 , pp. 52-63
    • Bao, W.Z.1    Han, H.D.2
  • 5
    • 0031240729 scopus 로고    scopus 로고
    • Local artificial boundary conditions for the incompressible viscous flow in a slip channel
    • W. Z. Bao and H. D. Han. Local artificial boundary conditions for the incompressible viscous flow in a slip channel. Journal of Computational Mathematics, 15:335-343, 1997.
    • (1997) Journal of Computational Mathematics , vol.15 , pp. 335-343
    • Bao, W.Z.1    Han, H.D.2
  • 6
    • 0032641690 scopus 로고    scopus 로고
    • The direct method of lines for the problem of infinite elastic foundation
    • W. Z. Bao and H. D. Han. The direct method of lines for the problem of infinite elastic foundation. Comput. Methods Appl. Mech. Engrg., 175:157-173, 1999.
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.175 , pp. 157-173
    • Bao, W.Z.1    Han, H.D.2
  • 7
    • 0034234143 scopus 로고    scopus 로고
    • High-order local artificial boundary conditions for problems in unbounded domains
    • W. Z. Bao and H. D. Han. High-order local artificial boundary conditions for problems in unbounded domains. Comput. Methods Appl. Mech. Engrg., 188:455-471, 2000.
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.188 , pp. 455-471
    • Bao, W.Z.1    Han, H.D.2
  • 8
    • 0242473066 scopus 로고    scopus 로고
    • Error bounds for the finite element approximation of an incompressible material in an unbounded domain
    • W. Z. Bao and H. D. Han. Error bounds for the finite element approximation of an incompressible material in an unbounded domain. Numerische Mathematik, 93:415-444, 2003.
    • (2003) Numerische Mathematik , vol.93 , pp. 415-444
    • Bao, W.Z.1    Han, H.D.2
  • 9
    • 0035933318 scopus 로고    scopus 로고
    • Numerical simulations of fracture problems by coupling the FEM and the direct method of lines
    • W. Z. Bao, H. D. Han and Z. Y. Huang. Numerical simulations of fracture problems by coupling the FEM and the direct method of lines. Comput. Methods Appl. Mech. Engrg., 190:4831-4846, 2001.
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 4831-4846
    • Bao, W.Z.1    Han, H.D.2    Huang, Z.Y.3
  • 11
    • 0042230440 scopus 로고    scopus 로고
    • Numerical solution for the three-dimensional Ginzberg-Landau models using artificial boundary
    • Q. Du and X. N. Wu. Numerical solution for the three-dimensional Ginzberg-Landau models using artificial boundary. SIAM J. Nu-mer. Anal., 36:1482-1506, 1999.
    • (1999) SIAM J. Nu-mer. Anal. , vol.36 , pp. 1482-1506
    • Du, Q.1    Wu, X.N.2
  • 12
    • 84966208271 scopus 로고
    • Absorbing boundary conditions for the numerical simulation of wave
    • B. Engquist and A. Majda. Absorbing boundary conditions for the numerical simulation of wave. Math. Comput., 31:629-651, 1977.
    • (1977) Math. Comput. , vol.31 , pp. 629-651
    • Engquist, B.1    Majda, A.2
  • 13
    • 2442654643 scopus 로고
    • Differential vs. integral equations and finite vs. infinite elements
    • K. Feng. Differential vs. integral equations and finite vs. infinite elements. Math. Numer. Sinica, 2:1:100-105, 1980.
    • (1980) Math. Numer. Sinica , vol.2 , Issue.1 , pp. 100-105
    • Feng, K.1
  • 16
    • 0000993524 scopus 로고
    • Asymptotic radiation conditions for reduced wave equation
    • K. Feng. Asymptotic radiation conditions for reduced wave equation. J. Comput. Math., 2:2:130-138, 1984.
    • (1984) J. Comput. Math. , vol.2 , Issue.2 , pp. 130-138
    • Feng, K.1
  • 17
    • 0343962036 scopus 로고
    • Canonical integral equations of elliptic boundary value problems on the finite element method
    • In, Beijing, Science Press, Beijing, 1983
    • K. Feng and D. H. Yu. Canonical integral equations of elliptic boundary value problems on the finite element method. In Proceedings of International Invitational Symposium on the Finite Element Method, pages 211-252, Beijing, 1982. Science Press, Beijing, 1983.
    • (1982) Proceedings of International Invitational Symposium on the Finite Element Method , pp. 211-252
    • Feng, K.1    Yu, D.H.2
  • 18
    • 0037464655 scopus 로고    scopus 로고
    • A FEM-DtM formulation for a non-linear exterior problem in incompressible elasticity
    • G. N. Gatica, L. F. Gatica and E. P. Stephan. A FEM-DtM formulation for a non-linear exterior problem in incompressible elasticity. Math. Meth. Appl. Sci., 26:151-170, 2003.
    • (2003) Math. Meth. Appl. Sci. , vol.26 , pp. 151-170
    • Gatica, G.N.1    Gatica, L.F.2    Stephan, E.P.3
  • 20
    • 0025421673 scopus 로고
    • Nonreflecting boundary conditions for elastic waves
    • D. Givoli and J. B. Keller. Nonreflecting boundary conditions for elastic waves. Wave Motion, 12:261-279, 1990.
    • (1990) Wave Motion , vol.12 , pp. 261-279
    • Givoli, D.1    Keller, J.B.2
  • 21
    • 0028753350 scopus 로고
    • Special finite elements for use with high-order boundary conditions
    • D. Givoli and J. B. Keller. Special finite elements for use with high-order boundary conditions. Comput. Methods. Appl. Meth. Engrg., 119:199-213, 1994.
    • (1994) Comput. Methods. Appl. Meth. Engrg. , vol.119 , pp. 199-213
    • Givoli, D.1    Keller, J.B.2
  • 23
    • 84966235520 scopus 로고
    • A finite element method for solving Helmholtz type equations in waveguides and other unbounded domains
    • C. I. Goldstein. A finite element method for solving Helmholtz type equations in waveguides and other unbounded domains. Math. Comput., 39:309-324, 1982.
    • (1982) Math. Comput. , vol.39 , pp. 309-324
    • Goldstein, C.I.1
  • 25
    • 0000907608 scopus 로고
    • On nonreflecting boundary conditions
    • M. J. Grote and J. B. Keller. On nonreflecting boundary conditions. J. Comput. Phys., 122:231-243, 1995.
    • (1995) J. Comput. Phys. , vol.122 , pp. 231-243
    • Grote, M.J.1    Keller, J.B.2
  • 26
    • 1642418331 scopus 로고    scopus 로고
    • High-order radiation boundary conditions for the convective wave equation in exterior domains
    • T. Hagstrom, S. I. Haraharan and D. Thompson. High-order radiation boundary conditions for the convective wave equation in exterior domains. SI AM J. Sci. Comput, 25:1088-1101, 2003.
    • (2003) SI AM J. Sci. Comput , vol.25 , pp. 1088-1101
    • Hagstrom, T.1    Haraharan, S.I.2    Thompson, D.3
  • 27
    • 0001209974 scopus 로고
    • Exact boundary conditions at an artificial boundary for partial differential equations in cylinders
    • T. Hagstrom and H. B. Keller. Exact boundary conditions at an artificial boundary for partial differential equations in cylinders. SIAM J. Math. Anal, 17:322-341, 1986.
    • (1986) SIAM J. Math. Anal , vol.17 , pp. 322-341
    • Hagstrom, T.1    Keller, H.B.2
  • 28
    • 84966231058 scopus 로고
    • Asymptotic boundary conditions and numerical methods for nonlinear elliptic problems on unbounded domains
    • T. Hagstrom and H. B. Keller. Asymptotic boundary conditions and numerical methods for nonlinear elliptic problems on unbounded domains. Math. Comput, 48:449-470, 1987.
    • (1987) Math. Comput , vol.48 , pp. 449-470
    • Hagstrom, T.1    Keller, H.B.2
  • 29
    • 0000176460 scopus 로고
    • Artificial boundary conditions for incompressible viscous flows
    • L. Halpern and M. Schatzman. Artificial boundary conditions for incompressible viscous flows. SIAM J. Math. Anal, 20:308-353, 1989.
    • (1989) SIAM J. Math. Anal , vol.20 , pp. 308-353
    • Halpern, L.1    Schatzman, M.2
  • 30
    • 0001106057 scopus 로고
    • A new class of variational formulations for the coupling of finite and boundary element methods
    • H. D. Han. A new class of variational formulations for the coupling of finite and boundary element methods. Journal of Computational Mathematics, 8:223-232, 1990.
    • (1990) Journal of Computational Mathematics , vol.8 , pp. 223-232
    • Han, H.D.1
  • 31
    • 0024090487 scopus 로고    scopus 로고
    • Boundary integro-differential equations of elliptic boundary value problems and their numerical solutions
    • H. D. Han. Boundary integro-differential equations of elliptic boundary value problems and their numerical solutions. Scientia Sinica, 31:1153-1165, 1998.
    • (1998) Scientia Sinica , vol.31 , pp. 1153-1165
    • Han, H.D.1
  • 32
    • 0002443811 scopus 로고
    • An artificial boundary condition for the incompressible viscous flows in a no-slip channel
    • H. D. Han and W. Z. Bao. An artificial boundary condition for the incompressible viscous flows in a no-slip channel. Journal of Computational Mathematics, 13:51-63, 1995.
    • (1995) Journal of Computational Mathematics , vol.13 , pp. 51-63
    • Han, H.D.1    Bao, W.Z.2
  • 33
    • 0040955075 scopus 로고    scopus 로고
    • The artificial boundary conditions for incompressible materials on an unbounded domain
    • H. D. Han and W. Z. Bao. The artificial boundary conditions for incompressible materials on an unbounded domain. Numerishe Mathematik, 77:347-363, 1997.
    • (1997) Numerishe Mathematik , vol.77 , pp. 347-363
    • Han, H.D.1    Bao, W.Z.2
  • 34
    • 0033339077 scopus 로고    scopus 로고
    • The discrete artificial boundary condition on a polygonal artificial boundary for the exterior problem of Poisson equation by using the direct method of lines
    • H. D. Han and W. Z. Bao. The discrete artificial boundary condition on a polygonal artificial boundary for the exterior problem of Poisson equation by using the direct method of lines. Comput. Methods Appl. Mech. Engrg., 179:345-360, 1999.
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.179 , pp. 345-360
    • Han, H.D.1    Bao, W.Z.2
  • 35
    • 0003384945 scopus 로고    scopus 로고
    • Error estimates for the finite element approximation of problems in unbounded domains
    • H. D. Han and W. Z. Bao. Error estimates for the finite element approximation of problems in unbounded domains. SIAM J. Numer. Anal, 37:1101-1119, 2000.
    • (2000) SIAM J. Numer. Anal , vol.37 , pp. 1101-1119
    • Han, H.D.1    Bao, W.Z.2
  • 36
    • 0041026767 scopus 로고    scopus 로고
    • Error estimates for the finite element approximation of linear elastic equations in an unbounded domain
    • H. D. Han and W. Z. Bao. Error estimates for the finite element approximation of linear elastic equations in an unbounded domain. Mathematics of Computation, 70:1437-1459, 2001.
    • (2001) Mathematics of Computation , vol.70 , pp. 1437-1459
    • Han, H.D.1    Bao, W.Z.2
  • 38
    • 0034421628 scopus 로고    scopus 로고
    • Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions
    • H. D. Han, C. H. He and X. N. Wu. Analysis of artificial boundary conditions for exterior boundary value problems in three dimensions. Numer. Math., 85:367-386, 2000.
    • (2000) Numer. Math. , vol.85 , pp. 367-386
    • Han, H.D.1    He, C.H.2    Wu, X.N.3
  • 39
    • 0032671547 scopus 로고    scopus 로고
    • The direct method of lines for the numerical solutions of interface problem
    • H. D. Han and Z. Y. Huang. The direct method of lines for the numerical solutions of interface problem. Comput. Methods Appl. Mech. Engrg., 171:61-75, 1999.
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.171 , pp. 61-75
    • Han, H.D.1    Huang, Z.Y.2
  • 40
    • 84895900162 scopus 로고    scopus 로고
    • A semi-discrete numerical procedure for composite material problems
    • H. D. Han and Z. Y. Huang. A semi-discrete numerical procedure for composite material problems. Mathematical Sciences and Applications, 12:35-44, 1999.
    • (1999) Mathematical Sciences and Applications , vol.12 , pp. 35-44
    • Han, H.D.1    Huang, Z.Y.2
  • 41
    • 84895900673 scopus 로고    scopus 로고
    • The direct method of lines for incompressible material problems on polygon domains
    • In T. Chan, T. Kako, H. Kawarada and O. Pironneau, editors
    • H. D. Han and Z. Y. Huang. The direct method of lines for incompressible material problems on polygon domains. In T. Chan, T. Kako, H. Kawarada and O. Pironneau, editors, 12th International Conference on Domain Decomposition Methods, pages 125-132, 2001.
    • (2001) 12th International Conference on Domain Decomposition Methods , pp. 125-132
    • Han, H.D.1    Huang, Z.Y.2
  • 42
    • 0035704424 scopus 로고    scopus 로고
    • The discrete method of separation of variables for composite material problems
    • H. D. Han and Z. Y. Huang. The discrete method of separation of variables for composite material problems. International Journal of Fracture, 112:379-402, 2001.
    • (2001) International Journal of Fracture , vol.112 , pp. 379-402
    • Han, H.D.1    Huang, Z.Y.2
  • 43
    • 0036498981 scopus 로고    scopus 로고
    • A class of artificial boundary conditions for heat equation in unbounded domains
    • H. D. Han and Z. Y. Huang. A class of artificial boundary conditions for heat equation in unbounded domains. Computers & Mathematics with Applications, 43:889-900, 2002.
    • (2002) Computers & Mathematics with Applications , vol.43 , pp. 889-900
    • Han, H.D.1    Huang, Z.Y.2
  • 44
    • 0036727940 scopus 로고    scopus 로고
    • Exact and approximating boundary conditions for the parabolic problems on unbounded domains
    • H. D. Han and Z. Y. Huang. Exact and approximating boundary conditions for the parabolic problems on unbounded domains. Computers & Mathematics with Applications, 44:655-666, 2002.
    • (2002) Computers & Mathematics with Applications , vol.44 , pp. 655-666
    • Han, H.D.1    Huang, Z.Y.2
  • 45
    • 33645937550 scopus 로고    scopus 로고
    • Exact artificial boundary conditons for Schrodinger equation in R2
    • H. D. Han and Z. Y. Huang. Exact artificial boundary conditons for Schrodinger equation in R2. Comm. Math. Sci., 2:79-94, 2004.
    • (2004) Comm. Math. Sci. , vol.2 , pp. 79-94
    • Han, H.D.1    Huang, Z.Y.2
  • 46
    • 84929541719 scopus 로고    scopus 로고
    • The discrete method of separation of variables for computation of stress intensity factors
    • H. D. Han, Z. Y. Huang and W. Z. Bao. The discrete method of separation of variables for computation of stress intensity factors. Chinese J. Comput. Phy., 17:483-496, 2000.
    • (2000) Chinese J. Comput. Phy. , vol.17 , pp. 483-496
    • Han, H.D.1    Huang, Z.Y.2    Bao, W.Z.3
  • 47
    • 0001639788 scopus 로고
    • A discrete artificial boundary condition for steady incompressible viscous flows in a no-slip channel using a fast iterative method
    • H. D. Han, J. F. Lu and W. Z. Bao. A discrete artificial boundary condition for steady incompressible viscous flows in a no-slip channel using a fast iterative method. Journal of Computational Physics, 114:201-208, 1994.
    • (1994) Journal of Computational Physics , vol.114 , pp. 201-208
    • Han, H.D.1    Lu, J.F.2    Bao, W.Z.3
  • 48
    • 7544232120 scopus 로고    scopus 로고
    • The local artificial boundary conditions for numerical simulations of the flow around a submerged body
    • H. D. Han and X. Wen. The local artificial boundary conditions for numerical simulations of the flow around a submerged body. Journal of Scientific Computation, 16:263-286, 2001.
    • (2001) Journal of Scientific Computation , vol.16 , pp. 263-286
    • Han, H.D.1    Wen, X.2
  • 49
    • 0142168106 scopus 로고    scopus 로고
    • The global artificial boundary conditions for numerical simulations of the 3d flow around a submerged body
    • H. D. Han and X. Wen. The global artificial boundary conditions for numerical simulations of the 3d flow around a submerged body. Journal of computational Mathematics, 21:435-450, 2003.
    • (2003) Journal of computational Mathematics , vol.21 , pp. 435-450
    • Han, H.D.1    Wen, X.2
  • 50
    • 0000637294 scopus 로고
    • Approximation of infinite boundary condition and its applications to finite element methods
    • H. D. Han and X. N. Wu. Approximation of infinite boundary condition and its applications to finite element methods. Journal of Computational Mathematics, 3:179-192, 1985.
    • (1985) Journal of Computational Mathematics , vol.3 , pp. 179-192
    • Han, H.D.1    Wu, X.N.2
  • 51
    • 21844461249 scopus 로고
    • The mixed finite element method for stokes equations on unbounded domains
    • H. D. Han and X. N. Wu. The mixed finite element method for stokes equations on unbounded domains. Journal of Systems Sci.and Mathematical Sci, 5:121-132, 1985.
    • (1985) Journal of Systems Sci.and Mathematical Sci , vol.5 , pp. 121-132
    • Han, H.D.1    Wu, X.N.2
  • 52
    • 84966253545 scopus 로고
    • The approximation of the exact boundary conditions at an artificial boundary for linear elastic equations and its application
    • H. D. Han and X. N. Wu. The approximation of the exact boundary conditions at an artificial boundary for linear elastic equations and its application. Mathematics of Computation, 59:21-37, 1992.
    • (1992) Mathematics of Computation , vol.59 , pp. 21-37
    • Han, H.D.1    Wu, X.N.2
  • 53
    • 11044237933 scopus 로고    scopus 로고
    • A fast numerical method for the black-scholes equation of american options
    • H. D. Han and X. N. Wu. A fast numerical method for the black-scholes equation of american options. SIAM J. NUMER. ANAL., 41:2081-2095, 2003.
    • (2003) SIAM J. NUMER. ANAL. , vol.41 , pp. 2081-2095
    • Han, H.D.1    Wu, X.N.2
  • 54
    • 84874982196 scopus 로고
    • Large elements and the local finite element method
    • H. D. Han and L. A. Ying. Large elements and the local finite element method. Acta Mathematicae Applicatae Sinica, 3:237-249, 1980.
    • (1980) Acta Mathematicae Applicatae Sinica , vol.3 , pp. 237-249
    • Han, H.D.1    Ying, L.A.2
  • 55
    • 84895902984 scopus 로고    scopus 로고
    • High-order local artificial boundary conditions of the exterior problem of poisson equations in 3-d space
    • H. D. Han and C. X. Zheng. High-order local artificial boundary conditions of the exterior problem of poisson equations in 3-d space. Numer. Math. (A Journal of Chinese Universities), 23:290-304, 1999.
    • (1999) Numer. Math. (A Journal of Chinese Universities) , vol.23 , pp. 290-304
    • Han, H.D.1    Zheng, C.X.2
  • 56
    • 0036496695 scopus 로고    scopus 로고
    • Mixed finite element and high-order local artificial boundary conditions of elliptic equation
    • H. D. Han and C. X. Zheng. Mixed finite element and high-order local artificial boundary conditions of elliptic equation. Comput. Methods Appl. Mech. Engrg., 191:2011-2027, 2002.
    • (2002) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 2011-2027
    • Han, H.D.1    Zheng, C.X.2
  • 57
    • 84929535948 scopus 로고    scopus 로고
    • Mixed finite element method and higher-order local artificial boundary conditions for exterior 3-d Poisson equation
    • H. D. Han and C. X. Zheng. Mixed finite element method and higher-order local artificial boundary conditions for exterior 3-d Poisson equation. Tsinghua Science and Technology, 7:228-234, 2002.
    • (2002) Tsinghua Science and Technology , vol.7 , pp. 228-234
    • Han, H.D.1    Zheng, C.X.2
  • 58
    • 0037534266 scopus 로고    scopus 로고
    • Exact nonreflecting boundary conditions for acoustic problem in three dimensions
    • H. D. Han and C. X. Zheng. Exact nonreflecting boundary conditions for acoustic problem in three dimensions. Journal of computational Mathematics, 21:15-24, 2003.
    • (2003) Journal of computational Mathematics , vol.21 , pp. 15-24
    • Han, H.D.1    Zheng, C.X.2
  • 60
    • 84966247121 scopus 로고
    • On the coupling of boundary integral and finite element methods
    • C. Johnson and J. C. Nedelec. On the coupling of boundary integral and finite element methods. Math. Comp., , 35:1063-1079, 1980.
    • (1980) Math. Comp. , vol.35 , pp. 1063-1079
    • Johnson, C.1    Nedelec, J.C.2
  • 61
    • 0000271460 scopus 로고
    • Exact nonreflecting boundary conditions
    • J. B. Keller and D. Givoli. Exact nonreflecting boundary conditions. J. Comput. Phys., 82:172-192, 1989.
    • (1989) J. Comput. Phys. , vol.82 , pp. 172-192
    • Keller, J.B.1    Givoli, D.2
  • 62
    • 0036026069 scopus 로고    scopus 로고
    • A finite element method for approximating electromagnetic scattering from a conducting object
    • A. Kirsch and P. Monk. A finite element method for approximating electromagnetic scattering from a conducting object. Numer. Math., 92:501-534, 2002.
    • (2002) Numer. Math. , vol.92 , pp. 501-534
    • Kirsch, A.1    Monk, P.2
  • 63
    • 4344644003 scopus 로고    scopus 로고
    • Multi-atomic Young measure and artificial boundary in approximation of micromagnetics
    • Z. P. Li and X. N. Wu. Multi-atomic Young measure and artificial boundary in approximation of micromagnetics. Appl. Numer. Math., 51:69-88, 2004.
    • (2004) Appl. Numer. Math. , vol.51 , pp. 69-88
    • Li, Z.P.1    Wu, X.N.2
  • 64
    • 0000040443 scopus 로고    scopus 로고
    • On a FEM-BEM formulation for an exterior quasilinear problem in the plane
    • S. Meddahi, M. Gonzalez, and P. Perez. On a FEM-BEM formulation for an exterior quasilinear problem in the plane. SIAM J. Numer. Anal, 37:1820-1837, 2000.
    • (2000) SIAM J. Numer. Anal , vol.37 , pp. 1820-1837
    • Meddahi, S.1    Gonzalez, M.2    Perez, P.3
  • 65
    • 0001583679 scopus 로고
    • An open boundary condition for the computation of the steady incompressible Navier-Stokes equations
    • F. Nataf. An open boundary condition for the computation of the steady incompressible Navier-Stokes equations. J. Comput. Phys., 85:104-129, 1989.
    • (1989) J. Comput. Phys. , vol.85 , pp. 104-129
    • Nataf, F.1
  • 66
    • 0012217766 scopus 로고    scopus 로고
    • And FEM-CSM combined method for planar exterior Laplace problems
    • T. Ushijima. And FEM-CSM combined method for planar exterior Laplace problems. Japan J. Indust. Appl. Math, 18:359-382, 2001.
    • (2001) Japan J. Indust. Appl. Math , vol.18 , pp. 359-382
    • Ushijima, T.1
  • 67
    • 0001238123 scopus 로고    scopus 로고
    • A finite-element method for Laplace and Helmholtz type boundary value problems with singularities
    • X. N. Wu and H. D. Han. A finite-element method for Laplace and Helmholtz type boundary value problems with singularities. SIAM J. Numer. Anal, 34:1037-1050, 1997.
    • (1997) SIAM J. Numer. Anal , vol.34 , pp. 1037-1050
    • Wu, X.N.1    Han, H.D.2
  • 68
    • 0035933309 scopus 로고    scopus 로고
    • Discrete boundary conditions for problems with interface
    • X. N. Wu and H. D. Han. Discrete boundary conditions for problems with interface. Comput. Methods Appl. Mech. Engrg., 190:4987-4998, 2001.
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 4987-4998
    • Wu, X.N.1    Han, H.D.2
  • 69
    • 2442665695 scopus 로고    scopus 로고
    • Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions
    • X. N. Wu and Z. Z. Sun. Convergence of difference scheme for heat equation in unbounded domains using artificial boundary conditions. Appl. Numer. Math., 2004:261-277, 50.
    • (2004) Appl. Numer. Math.
    • Wu, X.N.1    Sun, Z.Z.2
  • 70
    • 0742273933 scopus 로고
    • Canonical integral equations of biharmonic elliptic boundary value problems
    • D. H. Yu. Canonical integral equations of biharmonic elliptic boundary value problems. Math. Numer. Sinica, 4:330-336, 1982.
    • (1982) Math. Numer. Sinica , vol.4 , pp. 330-336
    • Yu, D.H.1
  • 71
    • 0038928784 scopus 로고
    • Numerical solutions of harmonic and biharmonic canonical integral equations in interior or exterior circular domains
    • D. H. Yu. Numerical solutions of harmonic and biharmonic canonical integral equations in interior or exterior circular domains. J. Comput. Math., 1:52-62, 1983.
    • (1983) J. Comput. Math. , vol.1 , pp. 52-62
    • Yu, D.H.1
  • 72
    • 0000637292 scopus 로고
    • Approximation of boundary conditions at infinity for a harmonic equation
    • D. H. Yu. Approximation of boundary conditions at infinity for a harmonic equation. J. Comput. Math., 3:219-227, 1985.
    • (1985) J. Comput. Math. , vol.3 , pp. 219-227
    • Yu, D.H.1
  • 73
    • 84895907427 scopus 로고
    • Canonical integral equations of Stokes problem
    • D. H. Yu. Canonical integral equations of Stokes problem. J. Comput. Math., 4:62-73, 1986.
    • (1986) J. Comput. Math. , vol.4 , pp. 62-73
    • Yu, D.H.1
  • 74
    • 0004581086 scopus 로고
    • The approximate computation of hypersingular integrals on interval
    • D. H. Yu. The approximate computation of hypersingular integrals on interval. Numer. Math. J. Chinese Univ., 1:114-127, 1992.
    • (1992) Numer. Math. J. Chinese Univ. , vol.1 , pp. 114-127
    • Yu, D.H.1
  • 75
    • 84889501325 scopus 로고
    • The coupling of natural BEM and FEM for Stokes problem on unbounded domain
    • D. H. Yu. The coupling of natural BEM and FEM for Stokes problem on unbounded domain. Math. Numer. Sinica, 14:371-378, 1992.
    • (1992) Math. Numer. Sinica , vol.14 , pp. 371-378
    • Yu, D.H.1
  • 77
    • 56949090716 scopus 로고
    • The computation of hypersingular integrals on a circle and its error estimates
    • D. H. Yu. The computation of hypersingular integrals on a circle and its error estimates. Numer. Math. J. Chinese Univ., 16:332-337, 1994.
    • (1994) Numer. Math. J. Chinese Univ. , vol.16 , pp. 332-337
    • Yu, D.H.1
  • 79
    • 0037143073 scopus 로고    scopus 로고
    • High-order artificial boundary conditions for ideal axisymmetric irrotational flow around 3d obstacles
    • C. X. Zheng and H. D. Han. High-order artificial boundary conditions for ideal axisymmetric irrotational flow around 3d obstacles. International Journal of Numerical Methods in Engineering, 54:1195-1208, 2002.
    • (2002) International Journal of Numerical Methods in Engineering , vol.54 , pp. 1195-1208
    • Zheng, C.X.1    Han, H.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.