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Volumn 127, Issue 1, 1997, Pages 77-126

Regularity of the solutions for elliptic problems on nonsmooth domains in ℝ3, Part I: Countably normed spaces on polyhedral domains

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EID: 21444453590     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500023520     Document Type: Article
Times cited : (53)

References (43)
  • 1
  • 2
    • 0029343824 scopus 로고
    • Reliable stress and fracture mechanics analysis of complex components using h - p version of FEM
    • B. Anderson, I. Babuška, v. T. Petersdorff and U. Falk. Reliable stress and fracture mechanics analysis of complex components using h - p version of FEM. Internat. J. Numer. Methods Engrg. 38 (1995), 2135-63.
    • (1995) Internat. J. Numer. Methods Engrg. , vol.38 , pp. 2135-2163
    • Anderson, B.1    Babuška, I.2    Petersdorff, V.T.3    Falk, U.4
  • 3
    • 0001003242 scopus 로고
    • Regularity of the solution of elliptic problems with piecewise analytic data. Part I: 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 I: Boundary value problems for linear elliptic equations of second order. SIAM J. Math. Anal. 19(1988), 172-203.
    • (1988) SIAM J. Math. Anal. , vol.19 , pp. 172-203
    • Babuška, I.1    Guo, B.Q.2
  • 4
    • 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), 837-61.
    • (1988) SIAM J. Numer. Anal. , vol.24 , pp. 837-861
    • Babuška, I.1    Guo, B.Q.2
  • 5
    • 0001624937 scopus 로고
    • Regularity of the solution of elliptic problems with piecewise analytic data, Part 2: The trace space and applications to the boundary value problems with nonhomogeneous boundary conditions
    • I. Babuška and B. Q. Guo. Regularity of the solution of elliptic problems with piecewise analytic data, Part 2: The trace space and applications to the boundary value problems with nonhomogeneous boundary conditions. SIAM J. Math. Anal. 20 (1989), 763-81.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 763-781
    • Babuška, I.1    Guo, B.Q.2
  • 6
    • 0024736807 scopus 로고
    • The h - p version of the finite element method for problems with nonhomogeneous essential boundary conditions
    • I. Babuška and B. Q. Guo. The h - p version of the finite element method for problems with nonhomogeneous essential boundary conditions. Comput. Methods Appl. Mech. Engrg. 74 (1989), 1-28.
    • (1989) Comput. Methods Appl. Mech. Engrg. , vol.74 , pp. 1-28
    • Babuška, I.1    Guo, B.Q.2
  • 7
    • 0030189240 scopus 로고    scopus 로고
    • Approximation properties of the h - p version of the finite element method
    • I. Babuška and B. Q. Guo. Approximation properties of the h - p version of the finite element method. Compt. Methods Appl. Mech. Engng. 133 (1996), 319-46.
    • (1996) Compt. Methods Appl. Mech. Engng. , vol.133 , pp. 319-346
    • Babuška, I.1    Guo, B.Q.2
  • 9
    • 0001743826 scopus 로고
    • The regularity and numerical solutions of eigenvalue problems with piecewise analytic data
    • I. Babuška, B. Q. Guo and J. Osborn. The regularity and numerical solutions of eigenvalue problems with piecewise analytic data. SIAM. J. Numer. Anal. 25 (1989), 1534-64.
    • (1989) SIAM. J. Numer. Anal. , vol.25 , pp. 1534-1564
    • Babuška, I.1    Guo, B.Q.2    Osborn, J.3
  • 10
    • 84988144316 scopus 로고
    • On the exponential convergence of the h - p version for boundary element Galerkin methods in polygons
    • I. Babuška, B. Q. Guo and E. Stephan. On the exponential convergence of the h - p version for boundary element Galerkin methods in polygons. Math. Methods Appl. Sci. 12 (1990), 413-27.
    • (1990) Math. Methods Appl. Sci. , vol.12 , pp. 413-427
    • Babuška, I.1    Guo, B.Q.2    Stephan, E.3
  • 11
    • 0000640678 scopus 로고
    • Direct and inverse error estimates for finite elements with mesh refinement
    • I. Babuška, R. B. Kellog and J. Pitkaranta. Direct and inverse error estimates for finite elements with mesh refinement. Numer. Math. 33 (1979), 447-71.
    • (1979) Numer. Math. , vol.33 , pp. 447-471
    • Babuška, I.1    Kellog, R.B.2    Pitkaranta, J.3
  • 13
    • 84971186682 scopus 로고
    • General edge asymptotics solutions of second order elliptic boundary value problems I and II
    • M. Costabel and M. Dauge. General edge asymptotics solutions of second order elliptic boundary value problems I and II. Proc. Roy. Soc. Edinburgh Sect. A 123 (1993), 109-55; 157-84.
    • (1993) Proc. Roy. Soc. Edinburgh Sect. A , vol.123 , pp. 109-155
    • Costabel, M.1    Dauge, M.2
  • 14
    • 0003573037 scopus 로고
    • Elliptic Boundary Value Problems on Corner Domains
    • New York: Springer
    • M. Dauge. Elliptic Boundary Value Problems on Corner Domains, Lecture Notes in Mathematics 1341 (New York: Springer, 1988).
    • (1988) Lecture Notes in Mathematics 1341
    • Dauge, M.1
  • 15
    • 77956367457 scopus 로고
    • Higher order oblique derivative problems on polyhedral domains
    • M. Dauge. Higher order oblique derivative problems on polyhedral domains. Comm. Partial Differential Equations 14 (1989), 1193-227.
    • (1989) Comm. Partial Differential Equations , vol.14 , pp. 1193-1227
    • Dauge, M.1
  • 19
    • 0000658992 scopus 로고
    • Singularité en élasticité
    • I. Grisvard. Singularité en élasticité. Arch. Rational Mech. Anal. 107 (1989), 157-80.
    • (1989) Arch. Rational Mech. Anal. , vol.107 , pp. 157-180
    • Grisvard, I.1
  • 21
    • 0002898475 scopus 로고
    • The h - p version of the finite element method for elliptic equation of order 2m
    • B. Q. Guo. The h - p version of the finite element method for elliptic equation of order 2m. Numer. Math. 53 (1988), 199-224.
    • (1988) Numer. Math. , vol.53 , pp. 199-224
    • Guo, B.Q.1
  • 22
    • 0005708732 scopus 로고
    • The h - p version of the finite element method for solving boundary value problems in polyhedral domains
    • eds M. Costabel, M. Dauge and S. Nicaise, New York: Marcel Dekker
    • B. Q. Quo. The h - p version of the finite element method for solving boundary value problems in polyhedral domains. In Boundary Value Problems and Integral Equations in Nonsmooth Domains, eds M. Costabel, M. Dauge and S. Nicaise, 101-20 (New York: Marcel Dekker, 1994).
    • (1994) Boundary Value Problems and Integral Equations in Nonsmooth Domains , pp. 101-120
    • Quo, B.Q.1
  • 23
    • 0042893223 scopus 로고
    • The h - p version of the finite element method, Part 1: The basic approximating results
    • B. Q. Guo and I. Babuška. The h - p version of the finite element method, Part 1: the basic approximating results. Comput. Mech. 1 (1986), 21-41.
    • (1986) Comput. Mech. , vol.1 , pp. 21-41
    • Guo, B.Q.1    Babuška, I.2
  • 24
    • 0039977843 scopus 로고
    • The h - p version of the finite element method, Part 2: General results and applications
    • B. Q. Guo and I. Babuška. The h - p version of the finite element method, Part 2: general results and applications. Comput. Mech. 1 (1986), 203-20.
    • (1986) Comput. Mech. , vol.1 , pp. 203-220
    • Guo, B.Q.1    Babuška, I.2
  • 25
    • 0007102981 scopus 로고
    • On the regularity of elasticity problems with piecewise analytic data
    • B. Q. Guo and I. Babuška. On the regularity of elasticity problems with piecewise analytic data. Adv. Appl. Math. 14 (1993), 307-47.
    • (1993) Adv. Appl. Math. , vol.14 , pp. 307-347
    • Guo, B.Q.1    Babuška, I.2
  • 29
    • 0041061868 scopus 로고    scopus 로고
    • The h - p version of boundary element method for transmission problems with piecewise analytical data
    • B. Q. Guo, N. Heuer and E. Stephan. The h - p version of boundary element method for transmission problems with piecewise analytical data. SIAM J. Numer. Anal. 33 (1996), 789-808.
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 789-808
    • Guo, B.Q.1    Heuer, N.2    Stephan, E.3
  • 30
    • 0028436202 scopus 로고
    • The h - p version of the finite element method for problems with interfaces
    • B. Q. Guo and H. S. Oh. The h - p version of the finite element method for problems with interfaces. Internat. J. Numer. Methods Engrg. 37 (1994), 1741-62.
    • (1994) Internat. J. Numer. Methods Engrg. , vol.37 , pp. 1741-1762
    • Guo, B.Q.1    Oh, H.S.2
  • 32
    • 0000309125 scopus 로고
    • Boundary value problems for elliptic equations in domain with conic or angular points
    • V. A. Kondrat'ev. Boundary value problems for elliptic equations in domain with conic or angular points. Trans. Moscow Math. Soc. 16 (1967), 227-313.
    • (1967) Trans. Moscow Math. Soc. , vol.16 , pp. 227-313
    • Kondrat'ev, V.A.1
  • 34
    • 0000434764 scopus 로고
    • Developments at an analytic corner of solutions of elliptic partial differential equations
    • R. S. Lehman. Developments at an analytic corner of solutions of elliptic partial differential equations. J. Math. Mech. 8 (1984), 727-60.
    • (1984) J. Math. Mech. , vol.8 , pp. 727-760
    • Lehman, R.S.1
  • 35
    • 84985362731 scopus 로고
    • Dirichlet problems in polyhedral domains, I: Regularity of the solutions
    • J. M.-S. Lubuma and S. Nicaise. Dirichlet problems in polyhedral domains, I: Regularity of the solutions. Math. Nachr. 168 (1994), 243-61.
    • (1994) Math. Nachr. , vol.168 , pp. 243-261
    • Lubuma, J.M.-S.1    Nicaise, S.2
  • 37
    • 0005052372 scopus 로고
    • On the coefficients in the asymptotic of solutions of elliptic boundary value problems in domain with conical points
    • V. G. Maz'ya and B. A. Plamenevskii. On the coefficients in the asymptotic of solutions of elliptic boundary value problems in domain with conical points. Amer. Math. Soc. Trans. (2) 123 (1984), 57-88.
    • (1984) Amer. Math. Soc. Trans. , vol.123 , Issue.2 , pp. 57-88
    • Maz'ya, V.G.1    Plamenevskii, B.A.2
  • 38
    • 0002046758 scopus 로고
    • p and Hölder class and the Miranda-Agmon maximum principle for solutions of elliptic boundary problems in domains with singular points on the boundary
    • p and Hölder class and the Miranda-Agmon maximum principle for solutions of elliptic boundary problems in domains with singular points on the boundary. Amer. Math. Soc. Trans. (2) 123 (1984), 1-56.
    • (1984) Amer. Math. Soc. Trans. , vol.123 , Issue.2 , pp. 1-56
    • Maz'ya, V.G.1    Plamenevskii, B.A.2
  • 40
    • 33746961324 scopus 로고
    • Polygonal interface problems: Higher regularity results
    • S. Nicaise. Polygonal interface problems: higher regularity results. Comm. Partial Differential Equations 15 (1990), 1475-508.
    • (1990) Comm. Partial Differential Equations , vol.15 , pp. 1475-1508
    • Nicaise, S.1
  • 41
    • 84988164189 scopus 로고
    • Boundary integral equations for mixed Dirichlet, Neumann and transmission conditions
    • v. T. Petersdorff. Boundary integral equations for mixed Dirichlet, Neumann and transmission conditions. Math. Methods Appl. Sci. 11 (1989), 185-213.
    • (1989) Math. Methods Appl. Sci. , vol.11 , pp. 185-213
    • Petersdorff, V.T.1
  • 42
    • 33746969300 scopus 로고
    • Branching asymptotics for elliptic boundary value problems in a wedge
    • eds M. Costabel, M. Dauge and S. Nicaise, New York: Marcel Dekker
    • B. Schmutzler. Branching asymptotics for elliptic boundary value problems in a wedge. In Boundary Value Problems and Integral Equations in Nonsmooth Domains, eds M. Costabel, M. Dauge and S. Nicaise, 255-67 (New York: Marcel Dekker, 1994).
    • (1994) Boundary Value Problems and Integral Equations in Nonsmooth Domains , pp. 255-267
    • Schmutzler, B.1


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