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Volumn 80, Issue 4, 1998, Pages 497-523

Adaptive finite elements for exterior domain problems

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EID: 0032353287     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050376     Document Type: Article
Times cited : (7)

References (27)
  • 1
  • 2
    • 84968503709 scopus 로고
    • The finite element method for infinite domains
    • Babuška, I. (1972): The finite element method for infinite domains. Math. Comp. 26, 1-11
    • (1972) Math. Comp. , vol.26 , pp. 1-11
    • Babuška, I.1
  • 3
    • 34250882899 scopus 로고
    • Local mesh refinement in 2 and 3 dimensions
    • Bänsch, E. (1991): Local mesh refinement in 2 and 3 dimensions. Impact Comput. Sci. Engrg. 3, 181-191
    • (1991) Impact Comput. Sci. Engrg. , vol.3 , pp. 181-191
    • Bänsch, E.1
  • 4
    • 0030369254 scopus 로고    scopus 로고
    • Cascadic multigrid method for elliptic problems
    • Bornemann, F.A., Deuflhard, P. (1996): Cascadic multigrid method for elliptic problems. Numer. Math. 75, 135-152
    • (1996) Numer. Math. , vol.75 , pp. 135-152
    • Bornemann, F.A.1    Deuflhard, P.2
  • 5
    • 0000347589 scopus 로고
    • Optimal finite element interpolation on curved domains
    • Bernardi, C. (1989): Optimal finite element interpolation on curved domains. SIAM J. Numer. Anal. 26, 1212-1240
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 1212-1240
    • Bernardi, C.1
  • 7
    • 0039319336 scopus 로고
    • Variational formulation for a nonlinear elliptic equation in a three-dimensional exterior domain
    • Bernards, C., Girault, V., Halpern, L. (1990): Variational formulation for a nonlinear elliptic equation in a three-dimensional exterior domain. Nonlin. Anal. 15, 1017-1029
    • (1990) Nonlin. Anal. , vol.15 , pp. 1017-1029
    • Bernards, C.1    Girault, V.2    Halpern, L.3
  • 8
    • 84968466506 scopus 로고
    • A robust finite element method for nonhomogeneous dirichlet problems in domains with curved boundaries
    • Bramble, J.H., King, J.T. (1994): A robust finite element method for nonhomogeneous Dirichlet problems in domains with curved boundaries. Math. Comp. 63, 1-17
    • (1994) Math. Comp. , vol.63 , pp. 1-17
    • Bramble, J.H.1    King, J.T.2
  • 9
    • 0040504616 scopus 로고
    • The finite element method for elliptic problems
    • North-Holland, Amsterdam, 2. Ed.
    • Ciarlet, P.G. (1979): The finite element method for elliptic problems. Studies in Mathematics and its Applications, North-Holland, Amsterdam, 2. Ed.
    • (1979) Studies in Mathematics and Its Applications
    • Ciarlet, P.G.1
  • 10
    • 0016541865 scopus 로고
    • Approximation by finite element functions using local regularizations
    • Clément, P. (1975): Approximation by finite element functions using local regularizations. RAIRO Anal. Numér. 2, 77-84
    • (1975) RAIRO Anal. Numér. , vol.2 , pp. 77-84
    • Clément, P.1
  • 11
    • 0004346856 scopus 로고    scopus 로고
    • Analysis of a coupled finite-infinite element method for exterior helmholtz, problems
    • Demkowicz, L., Ihlenburg, F (1996): Analysis of a coupled finite-infinite element method for exterior Helmholtz, problems. TICAM Report 96-31
    • (1996) TICAM Report , pp. 96-131
    • Demkowicz, L.1    Ihlenburg, F.2
  • 13
    • 1542639888 scopus 로고    scopus 로고
    • A convergent adaptive algorithm for poisson's equation
    • Dörfler, W. (1996): A convergent adaptive algorithm for Poisson's equation. SIAM J. Numer. Anal. 33, 1106-1124
    • (1996) SIAM J. Numer. Anal. , vol.33 , pp. 1106-1124
    • Dörfler, W.1
  • 14
    • 0039270375 scopus 로고    scopus 로고
    • A time- and spaceadaptive algorithm for the linear time-dependent schrödinger equation
    • Dörfler, W. (1996): A time- and spaceadaptive algorithm for the linear time-dependent Schrödinger equation. Numer. Math. 73, 419-448
    • (1996) Numer. Math. , vol.73 , pp. 419-448
    • Dörfler, W.1
  • 15
    • 0040531669 scopus 로고    scopus 로고
    • An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation
    • to appear in
    • Dörfler, W., Rumpf, M.: An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation, to appear in Math. Comp. 1998
    • (1998) Math. Comp.
    • Dörfler, W.1    Rumpf, M.2
  • 16
    • 0030286184 scopus 로고    scopus 로고
    • Solution of 3D-laplace and Helmholtz equations in exterior domains using hp-infinite elements
    • Gerdes, K., Demkowicz, L. (1996): Solution of 3D-Laplace and Helmholtz equations in exterior domains using hp-infinite elements. Comput. Meth. Appl. Mech. Engrg. 137, 239-273
    • (1996) Comput. Meth. Appl. Mech. Engrg. , vol.137 , pp. 239-273
    • Gerdes, K.1    Demkowicz, L.2
  • 18
    • 0040504613 scopus 로고
    • Numerical techniques for boundary element methods
    • Vieweg, Braunschweig
    • Hackbusch, W. (ed.) (1992): Numerical Techniques for Boundary Element Methods. Notes on Numerical Fluid Mechanics 33, Vieweg, Braunschweig
    • (1992) Notes on Numerical Fluid Mechanics , vol.33
    • Hackbusch, W.1
  • 19
    • 0000430187 scopus 로고
    • Local bisection refinement for N-simplicial grids generated by reflection
    • Maubach, J.M. (1995): Local bisection refinement for N-simplicial grids generated by reflection. SIAM J. Sci. Comput. 16, 210-227
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 210-227
    • Maubach, J.M.1
  • 20
    • 0024883616 scopus 로고
    • A comparison of adaptive refinement techniques for elliptic problems
    • Mitchell, W.F. (1989): A comparison of adaptive refinement techniques for elliptic problems. ACM Trans. Math. Software 15, 326-347
    • (1989) ACM Trans. Math. Software , vol.15 , pp. 326-347
    • Mitchell, W.F.1
  • 21
    • 84980166859 scopus 로고
    • The behaviour of the laplacian on weighted sobolev spaces
    • McOwen, R.C. (1979): The behaviour of the Laplacian on weighted Sobolev spaces. CPAM 32, 783-795
    • (1979) CPAM , vol.32 , pp. 783-795
    • McOwen, R.C.1
  • 22
    • 84963199045 scopus 로고
    • Boundary value problems for the laplacian in an exterior domain
    • McOwen, R.C. (1981): Boundary value problems for the Laplacian in an exterior domain. Comm. in PDE 6, 783-798
    • (1981) Comm. in PDE , vol.6 , pp. 783-798
    • McOwen, R.C.1
  • 23
    • 0001543844 scopus 로고
    • The exterior problem for second order elliptic equations
    • Meyers, N.G., Serrin, J. (1960): The exterior problem for second order elliptic equations. J. Math. Mech. 9, 513-538
    • (1960) J. Math. Mech. , vol.9 , pp. 513-538
    • Meyers, N.G.1    Serrin, J.2
  • 24
    • 0002881847 scopus 로고
    • Adaptive domain extension and adaptive grids for unbounded spherical elliptic PDEs
    • Seager, M.K., Carey, G.F. (1990): Adaptive domain extension and adaptive grids for unbounded spherical elliptic PDEs. SIAM J. Sei. Statist. Comput. 11, 92-111
    • (1990) SIAM J. Sei. Statist. Comput. , vol.11 , pp. 92-111
    • Seager, M.K.1    Carey, G.F.2
  • 26
    • 0028423814 scopus 로고
    • A posteriori error estimation and adaptive mesh-refinement techniques
    • Verfürth, R. (1994): A posteriori error estimation and adaptive mesh-refinement techniques. J. Comput. Appl. Math. 50, 67-83
    • (1994) J. Comput. Appl. Math. , vol.50 , pp. 67-83
    • Verfürth, R.1
  • 27
    • 0000760561 scopus 로고
    • Two preconditioned based on the multi-level splitting of finite element spaces
    • Yserentant, H. (1990): Two preconditioned based on the multi-level splitting of finite element spaces. Numer. Math. 58, 163-184
    • (1990) Numer. Math. , vol.58 , pp. 163-184
    • Yserentant, H.1


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