메뉴 건너뛰기




Volumn 33, Issue 2, 1996, Pages 789-808

The h-p version of the boundary element method for transmission problems with piecewise analytic data

Author keywords

Exponential rate of convergence; Geometric mesh; h p version of BEM

Indexed keywords


EID: 0041061868     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/0733040     Document Type: Article
Times cited : (9)

References (18)
  • 1
    • 0003796630 scopus 로고
    • Academic Press, New York, San Francisco, London
    • R. ADAMS, Sobolev Spaces, Academic Press, New York, San Francisco, London, 1979.
    • (1979) Sobolev Spaces
    • Adams, R.1
  • 2
    • 0001003242 scopus 로고
    • Regularity of the solution of elliptic problems with piecewise analytic data, Part 1: Boundary value problems for linear elliptic equations of second order
    • I. BABUŠKA AND B. Q. GUO, Regularity of the solution of elliptic problems with piecewise analytic data, Part 1: Boundary value problems for linear elliptic equations of second order, SIAM J. Math. Anal., 19 (1988), pp. 172-203.
    • (1988) SIAM J. Math. Anal. , vol.19 , pp. 172-203
    • Babuška, I.1    Guo, B.Q.2
  • 3
    • 0001624937 scopus 로고
    • Regularity of the solution of elliptic problems with piecewise analytic data, Part 2: The trace spaces and applications to the boundary value problems with nonhomogeneous boundary conditions
    • _, Regularity of the solution of elliptic problems with piecewise analytic data, Part 2: The trace spaces and applications to the boundary value problems with nonhomogeneous boundary conditions, SIAM J. Math. Anal., 20 (1989), pp. 763-781.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 763-781
  • 4
    • 84988144316 scopus 로고
    • On the exponential convergence of the h-p version for boundary element Galerkin methods on polygons
    • I. BABUŠKA, B. Q. GUO, AND E. P. STEPHAN, On the exponential convergence of the h-p version for boundary element Galerkin methods on polygons, Math. Methods Appl. Sci., 12 (1990), pp. 413-427.
    • (1990) Math. Methods Appl. Sci. , vol.12 , pp. 413-427
    • Babuška, I.1    Guo, B.Q.2    Stephan, E.P.3
  • 5
    • 0025449042 scopus 로고
    • The h-p version of the boundary element method with geometric mesh on polygonal domains
    • _, The h-p version of the boundary element method with geometric mesh on polygonal domains, Comput. Methods Appl. Mech. Engrg., 80 (1990), 99. 307-325.
    • (1990) Comput. Methods Appl. Mech. Engrg. , vol.80 , pp. 307-325
  • 6
    • 0000808028 scopus 로고
    • The h-p version of the finite element method with curved boundary
    • I. BABUŠKA AND B. Q. GUO, The h-p version of the finite element method with curved boundary, SIAM J. Numer. Anal., 24 (1988), pp. 837-861.
    • (1988) SIAM J. Numer. Anal. , vol.24 , pp. 837-861
    • Babuška, I.1    Guo, B.Q.2
  • 7
    • 0024736807 scopus 로고
    • The h-p version of the finite element method for problems with non-homogeneous essential boundary conditions
    • _, The h-p version of the finite element method for problems with non-homogeneous essential boundary conditions, Comput. Methods Appl. Mech. Engrg., 74 (1989), pp. 1-28.
    • (1989) Comput. Methods Appl. Mech. Engrg. , vol.74 , pp. 1-28
  • 9
    • 1542639746 scopus 로고
    • Experimental convergence rates for various couplings of boundary and finite elements
    • M. COSTABEL, V. J. ERVIN, AND E. P. STEPHAN, Experimental convergence rates for various couplings of boundary and finite elements, Math. Comput. Modeling, 15 (1991), pp. 3-5, 93-102.
    • (1991) Math. Comput. Modeling , vol.15 , pp. 3-5
    • Costabel, M.1    Ervin, V.J.2    Stephan, E.P.3
  • 10
    • 0022028508 scopus 로고
    • A direct boundary integral equation method for transmission problems
    • M. COSTABEL AND E. P. STEPHAN, A direct boundary integral equation method for transmission problems, J. Math. Anal. Appl., 106 (1985), pp. 367-413.
    • (1985) J. Math. Anal. Appl. , vol.106 , pp. 367-413
    • Costabel, M.1    Stephan, E.P.2
  • 11
    • 0027806097 scopus 로고
    • On the h-p version of the boundary element method for Symm's integral equation on polygons
    • V. J. ERVIN, N. HEUER, AND E. P. STEPHAN, On the h-p version of the boundary element method for Symm's integral equation on polygons, Comput. Methods Appl. Mech. Engrg., 110 (1993), pp. 25-38.
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.110 , pp. 25-38
    • Ervin, V.J.1    Heuer, N.2    Stephan, E.P.3
  • 13
    • 0042893223 scopus 로고
    • The h-p version of the finite element method, Part 1: The basic approximation results
    • _, The h-p version of the finite element method, Part 1: The basic approximation results, Comput. Mech., 1 (1986), pp. 21-41.
    • (1986) Comput. Mech. , vol.1 , pp. 21-41
  • 14
    • 0039977843 scopus 로고
    • The h-p version of the finite element method, Part 2: General results and applications
    • _, The h-p version of the finite element method, Part 2: General results and applications, Comput. Mech., 1 (1986), pp. 203-220.
    • (1986) Comput. Mech. , vol.1 , pp. 203-220
  • 15
    • 0004700963 scopus 로고
    • An h-p version of BEM for plane mixed boundary value problem
    • B. Q. GUO, T. VON PETERSDORFF, AND E. P. STEPHAN, An h-p version of BEM for plane mixed boundary value problem, Adv. Boundary Elements, 11 (1989), pp. 95-102.
    • (1989) Adv. Boundary Elements , vol.11 , pp. 95-102
    • Guo, B.Q.1    Von Petersdorff, T.2    Stephan, E.P.3
  • 17
    • 84966239463 scopus 로고
    • On the convergence of the p-version of the boundary element method
    • E. P. STEPHAN AND M. SURI, On the convergence of the p-version of the boundary element method, Math. Comp., 52 (1989), pp. 31-48.
    • (1989) Math. Comp. , vol.52 , pp. 31-48
    • Stephan, E.P.1    Suri, M.2
  • 18
    • 0000034795 scopus 로고
    • The h-p version of the boundary element method on polygonal domains with quasiuniform meshes
    • _, The h-p version of the boundary element method on polygonal domains with quasiuniform meshes, RAIRO Modél Math. Anal. Numér., 25 (1991), pp. 783-807.
    • (1991) RAIRO Modél Math. Anal. Numér. , vol.25 , pp. 783-807


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.