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Volumn 100, Issue 1, 2005, Pages 1-19

Regularized combined field integral equations

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EID: 15544381823     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-004-0579-9     Document Type: Article
Times cited : (54)

References (36)
  • 1
    • 0003796630 scopus 로고
    • Academic Press, New York
    • Adams, R.: Sobolev Spaces. Academic Press, New York, 1975
    • (1975) Sobolev Spaces
    • Adams, R.1
  • 2
    • 0002749845 scopus 로고
    • On the choice of the coupling parameter in boundary integral formulations of the exterior acoustic problem
    • Amini, S.: On the choice of the coupling parameter in boundary integral formulations of the exterior acoustic problem. Appl. Anal., 35, 75-92 (1990)
    • (1990) Appl. Anal. , vol.35 , pp. 75-92
    • Amini, S.1
  • 3
    • 0022525257 scopus 로고
    • An investigation of boundary element methods for the exterior acoustic problem
    • Amini, S., Wilton, D.: An investigation of boundary element methods for the exterior acoustic problem. Comp. Meth. Appl. Mech. Engr. 54, 49-65 (1986)
    • (1986) Comp. Meth. Appl. Mech. Engr. , vol.54 , pp. 49-65
    • Amini, S.1    Wilton, D.2
  • 4
    • 0034327263 scopus 로고    scopus 로고
    • Infinite elements for wave problems: A review of current formulations and an assessment of accuracy
    • Astley, R.: Infinite elements for wave problems: A review of current formulations and an assessment of accuracy. Int. J. Numer. Meth. Engr. 49, 951-976 (2000)
    • (2000) Int. J. Numer. Meth. Engr. , vol.49 , pp. 951-976
    • Astley, R.1
  • 6
    • 0000204968 scopus 로고
    • Üeber das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung
    • Brakhage, H., Werner, P.: Üeber das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung. Arch, der Math. 16, 325-329 (1965)
    • (1965) Arch, Der Math. , vol.16 , pp. 325-329
    • Brakhage, H.1    Werner, P.2
  • 7
    • 0003957050 scopus 로고
    • Mathematical theory of finite element methods
    • Springer-Verlag, New York
    • Brenner, S., Scott, R.: Mathematical theory of finite element methods. Texts in Applied Mathematics, Springer-Verlag, New York, 1994
    • (1994) Texts in Applied Mathematics
    • Brenner, S.1    Scott, R.2
  • 8
    • 0036026628 scopus 로고    scopus 로고
    • Boundary element methods for Maxwell's equations on non-smooth domains
    • Buffa, A., Costabel, M., Schwab, C.: Boundary element methods for Maxwell's equations on non-smooth domains. Numer. Math. 92, 679-710 (2002)
    • (2002) Numer. Math. , vol.92 , pp. 679-710
    • Buffa, A.1    Costabel, M.2    Schwab, C.3
  • 9
    • 15544364857 scopus 로고    scopus 로고
    • A coercive combined field integral equation for electromagnetic scattering
    • Buffa, A., Hiptmair, R.: A coercive combined field integral equation for electromagnetic scattering. SIAM J. Numer. Anal. 40, 621-640 (2004)
    • (2004) SIAM J. Numer. Anal. , vol.40 , pp. 621-640
    • Buffa, A.1    Hiptmair, R.2
  • 11
    • 0000181954 scopus 로고
    • The application of integral methods for the numerical solution of boundary value problems
    • Burton, A., Miller, G.: The application of integral methods for the numerical solution of boundary value problems. Proc. R. Soc. London, Ser. A 232, 201-210 (1971)
    • (1971) Proc. R. Soc. London, Ser. A , vol.232 , pp. 201-210
    • Burton, A.1    Miller, G.2
  • 13
    • 0942268043 scopus 로고    scopus 로고
    • Discrete Fredholm properties and convergence estimates for the electric field integral equation
    • Christiansen, S.: Discrete Fredholm properties and convergence estimates for the electric field integral equation. Math. Comp. 73, 143-167 (2004)
    • (2004) Math. Comp. , vol.73 , pp. 143-167
    • Christiansen, S.1
  • 14
    • 0011420697 scopus 로고    scopus 로고
    • Inverse acoustic and electromagnetic scattering theory
    • Springer, Heidelberg, 2nd ed.
    • Colton, D., Kress, R.: Inverse Acoustic and Electromagnetic Scattering Theory, vol. 93 of Applied Mathematical Sciences, Springer, Heidelberg, 2nd ed., 1998
    • (1998) Applied Mathematical Sciences , vol.93
    • Colton, D.1    Kress, R.2
  • 15
    • 0000438610 scopus 로고
    • Boundary integral operators on Lipschitz domains: Elementary results
    • Costabel, M.: Boundary integral operators on Lipschitz domains: Elementary results. SIAM J. Math. Anal. 19, 613-626 (1988)
    • (1988) SIAM J. Math. Anal. , vol.19 , pp. 613-626
    • Costabel, M.1
  • 16
    • 0033078434 scopus 로고    scopus 로고
    • Maxwell and Lamé eigenvalues on polyhedra
    • Costabel, M., Dauge, M.: Maxwell and Lamé eigenvalues on polyhedra. Math. Methods Appl. Sci. 22, 243-258 (1999)
    • (1999) Math. Methods Appl. Sci. , vol.22 , pp. 243-258
    • Costabel, M.1    Dauge, M.2
  • 18
    • 0003074690 scopus 로고
    • Elliptic boundary value problems on corner domains
    • Springer, Berlin
    • Dauge, M.:Elliptic Boundary Value Problems on Corner Domains, vol. 1341 of Lecture Notes in Mathematics, Springer, Berlin, 1988
    • (1988) Lecture Notes in Mathematics , vol.1341
    • Dauge, M.1
  • 19
    • 38149148001 scopus 로고
    • Asymptotic convergence in finite and boundary element methods: Part 1, Theoretical results
    • Demkowicz, L.: Asymptotic convergence in finite and boundary element methods: Part 1, Theoretical results. Comput. Math. Appl., 27, 69-84 (1994)
    • (1994) Comput. Math. Appl. , vol.27 , pp. 69-84
    • Demkowicz, L.1
  • 20
    • 0041621774 scopus 로고    scopus 로고
    • The method of fundamental solutions for scattering and radiation problems
    • Fairweather, G., Karageorghis, A., Martin, P.: The method of fundamental solutions for scattering and radiation problems. Eng. Anal. Bound. Elem. 27, 759-769 (2003)
    • (2003) Eng. Anal. Bound. Elem. , vol.27 , pp. 759-769
    • Fairweather, G.1    Karageorghis, A.2    Martin, P.3
  • 21
    • 0004000572 scopus 로고    scopus 로고
    • PhD thesis, Fakultät für Mathematik, Universtität Karlsruhe, Karlsruhe, Germany
    • 3), PhD thesis, Fakultät für Mathematik, Universtität Karlsruhe, Karlsruhe, Germany, 1997
    • (1997) 3)
    • Giebermann, K.1
  • 24
    • 85011457104 scopus 로고    scopus 로고
    • Radiation boundary conditions for the numerical simulation of waves
    • Hagstrom, T.: Radiation boundary conditions for the numerical simulation of waves. Acta Numerica 8, 47-106 (1998)
    • (1998) Acta Numerica , vol.8 , pp. 47-106
    • Hagstrom, T.1
  • 25
    • 0000271720 scopus 로고
    • The inhomogeneous dirichlet problem in Lipschitz domains
    • Jerison, D., Kenig, C.: The inhomogeneous dirichlet problem in Lipschitz domains. J. Funct. Anal. 130, 161-219 (1995)
    • (1995) J. Funct. Anal. , vol.130 , pp. 161-219
    • Jerison, D.1    Kenig, C.2
  • 26
    • 0016028683 scopus 로고
    • Integral equations for the exterior acoustic problem
    • Jones, D.: Integral equations for the exterior acoustic problem. Quaterly J. Mech. Appl. Math. 27, 129-142 (1974)
    • (1974) Quaterly J. Mech. Appl. Math. , vol.27 , pp. 129-142
    • Jones, D.1
  • 27
    • 0003307061 scopus 로고
    • Harmonic analysis techniques for second order elliptic boundary value problems
    • AMS, Providence, RI
    • Kenig, C.: Harmonic analysis techniques for second order elliptic boundary value problems, vol. 83 of CBMS Regional Conference Series in Mathematics, AMS, Providence, RI 1994
    • (1994) CBMS Regional Conference Series in Mathematics , vol.83
    • Kenig, C.1
  • 28
    • 0022059920 scopus 로고
    • Minimizing the condition number of boundary integral operators in acoustic and electromagnetic scattering
    • Kress, R.: Minimizing the condition number of boundary integral operators in acoustic and electromagnetic scattering. Q. J. Mech. Appl. Math. 38, 323-341 (1985)
    • (1985) Q. J. Mech. Appl. Math. , vol.38 , pp. 323-341
    • Kress, R.1
  • 29
    • 0038960450 scopus 로고
    • Zur Dirichletschen Randwertaufgabe des Aussenraumes der Schwingungsgleichung
    • Leis, R.: Zur Dirichletschen Randwertaufgabe des Aussenraumes der Schwingungsgleichung. Math. Z. 90, 205-211 (1965)
    • (1965) Math. Z. , vol.90 , pp. 205-211
    • Leis, R.1
  • 31
    • 0000724280 scopus 로고
    • On the question of the solvability of the exterior boundary-value problems for the wave equation and Maxwell's equations
    • In Russian
    • Panich, O.: On the question of the solvability of the exterior boundary-value problems for the wave equation and Maxwell's equations. Usp. Mat. Nauk. 20A, 221-226 (1965) In Russian
    • (1965) Usp. Mat. Nauk. , vol.20 A , pp. 221-226
    • Panich, O.1
  • 34
    • 84966217446 scopus 로고
    • An observation concerning Ritz-Galerkin methods with indefinite bilinear forms
    • Schatz, A.: An observation concerning Ritz-Galerkin methods with indefinite bilinear forms. Math. Comp. 28, 959-962 (1974)
    • (1974) Math. Comp. , vol.28 , pp. 959-962
    • Schatz, A.1
  • 35
    • 84971178654 scopus 로고
    • On the exterior problem of acoustics I
    • Ursell, F.: On the exterior problem of acoustics I. Math. Proc. Cambridge Phil. Soc. 74, 117-125 (1973)
    • (1973) Math. Proc. Cambridge Phil. Soc. , vol.74 , pp. 117-125
    • Ursell, F.1
  • 36
    • 0000614984 scopus 로고
    • Boundary element methods for elliptic problems
    • A. Schatz, V. Thomée, W. Wendland, (eds.), of DMV-Seminar, Birkhäuser, Basel
    • Wendland, W.: Boundary element methods for elliptic problems. In: Mathematical Theory of Finite and Boundary Element Methods, A. Schatz, V. Thomée, W. Wendland, (eds.), 15, of DMV-Seminar, Birkhäuser, Basel, 1990, pp.219-276
    • (1990) Mathematical Theory of Finite and Boundary Element Methods , vol.15 , pp. 219-276
    • Wendland, W.1


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