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Volumn 18, Issue 3, 2002, Pages 396-419

An hp-adaptive refinement strategy for hypersingular operators on surfaces

Author keywords

A posteriori error estimate; hp version of the BEM; Two level decomposition

Indexed keywords


EID: 0036569908     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/num.10011     Document Type: Article
Times cited : (14)

References (28)
  • 2
    • 0027642848 scopus 로고
    • A posteriori error estimates based on hierarchical bases
    • R.E. Bank and K. Smith, A posteriori error estimates based on hierarchical bases, SIAM J Numer Anal, 30 (1993), 921-935.
    • (1993) SIAM J Numer Anal , vol.30 , pp. 921-935
    • Bank, R.E.1    Smith, K.2
  • 4
    • 0000006288 scopus 로고    scopus 로고
    • An adaptive two-level method for the coupling of nonlinear FEM-BEM equations
    • P. Mund and E. P. Stephan, An adaptive two-level method for the coupling of nonlinear FEM-BEM equations, SIAM J Numer Anal, 36 (1999), 1001-1021.
    • (1999) SIAM J Numer Anal , vol.36 , pp. 1001-1021
    • Mund, P.1    Stephan, E.P.2
  • 6
    • 0024715322 scopus 로고
    • The problem of selecting the shape functions for a p-type finite element
    • I. Babuška, M. Griebel, and J. Pitkäranta, The problem of selecting the shape functions for a p-type finite element, Internat J Numer Methods Engrg, 28 (1989), 1891-1908.
    • (1989) Internat J Numer Methods Engrg , vol.28 , pp. 1891-1908
    • Babuška, I.1    Griebel, M.2    Pitkäranta, J.3
  • 7
    • 0037049920 scopus 로고    scopus 로고
    • A p-adaptive algorithm for the BEM with the hypersingular operator on the plane screen
    • N. Heuer, M. E. Mellado, and E. P. Stephan, A p-adaptive algorithm for the BEM with the hypersingular operator on the plane screen, Internat J Numer Methods Engrg, 53 (2002), 85-104.
    • (2002) Internat J Numer Methods Engrg , vol.53 , pp. 85-104
    • Heuer, N.1    Mellado, M.E.2    Stephan, E.P.3
  • 8
    • 0031642814 scopus 로고    scopus 로고
    • An adaptive refinement strategy for h-p finite element computations
    • M. Ainsworth and W. Senior, An adaptive refinement strategy for h-p finite element computations, Appl Numer Math, 26 (1997), 165-178.
    • (1997) Appl Numer Math , vol.26 , pp. 165-178
    • Ainsworth, M.1    Senior, W.2
  • 9
    • 0035661293 scopus 로고    scopus 로고
    • hp-adaptive two-level methods for boundary integral equations on curves
    • N. Heuer, M. E. Mellado, and E. P. Stephan, hp-adaptive two-level methods for boundary integral equations on curves, Computing, 67 (2001), 305-334.
    • (2001) Computing , vol.67 , pp. 305-334
    • Heuer, N.1    Mellado, M.E.2    Stephan, E.P.3
  • 10
    • 0000438610 scopus 로고
    • Boundary integral operators on lipschitz domains: Elementary results
    • M. Costabel, Boundary integral operators on Lipschitz domains: Elementary results, SIAM J Math Anal, 19 (1988), 613-626.
    • (1988) SIAM J Math Anal , vol.19 , pp. 613-626
    • Costabel, M.1
  • 12
    • 21344476056 scopus 로고
    • Additive schwarz methods for the p-version finite element method
    • L. F. Pavarino, Additive Schwarz methods for the p-version finite element method, Numer Math, 66 (1994), 493-515.
    • (1994) Numer Math , vol.66 , pp. 493-515
    • Pavarino, L.F.1
  • 13
    • 0346246272 scopus 로고    scopus 로고
    • Overlapping Schwarz methods for unstructured spectral elements
    • L. F. Pavarino and T. Warburton, Overlapping Schwarz methods for unstructured spectral elements, J Comp Phys, 160 (2000), 298-317.
    • (2000) J Comp Phys , vol.160 , pp. 298-317
    • Pavarino, L.F.1    Warburton, T.2
  • 14
    • 0001728761 scopus 로고    scopus 로고
    • 3 - The p-version
    • 3 - the p-version, Appl Anal, 72 (1999), 411-437.
    • (1999) Appl Anal , vol.72 , pp. 411-437
    • Heuer, N.1
  • 15
    • 0032355332 scopus 로고    scopus 로고
    • An iterative substructuring method for the p-version of the boundary element method for hypersingular integral equations in three dimensions
    • Erratum 87 (2001), 793-794
    • N. Heuer, An iterative substructuring method for the p-version of the boundary element method for hypersingular integral equations in three dimensions, Numer Math, 79 (1998), 371-396. Erratum 87 (2001), 793-794.
    • (1998) Numer Math , vol.79 , pp. 371-396
    • Heuer, N.1
  • 17
    • 0000337361 scopus 로고    scopus 로고
    • A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions
    • L. F. Pavarino and O. B. Widlund, A polylogarithmic bound for an iterative substructuring method for spectral elements in three dimensions, SIAM J Numer Anal, 33 (1996), 1303-1335.
    • (1996) SIAM J Numer Anal , vol.33 , pp. 1303-1335
    • Pavarino, L.F.1    Widlund, O.B.2
  • 18
    • 0001454480 scopus 로고    scopus 로고
    • An additive schwarz method for the h-p version of the finite element method in three dimensions
    • B. Q. Guo and W. Cao, An additive Schwarz method for the h-p version of the finite element method in three dimensions, SIAM J Numer Anal, 35 (1998), 632-654.
    • (1998) SIAM J Numer Anal , vol.35 , pp. 632-654
    • Guo, B.Q.1    Cao, W.2
  • 19
    • 0000997330 scopus 로고    scopus 로고
    • Quasi-optimal Schwarz methods for the conforming spectral element discretization
    • M. A. Casarin, Quasi-optimal Schwarz methods for the conforming spectral element discretization, SIAM J Numer Anal, 34 (1997), 2482-2502.
    • (1997) SIAM J Numer Anal , vol.34 , pp. 2482-2502
    • Casarin, M.A.1
  • 20
    • 84985383814 scopus 로고
    • Decompositions in edge and corner singularities for the solution of the dirichlet problem of the laplacian in a polyhedron
    • T. von Petersdorff and E. P. Stephan, Decompositions in edge and corner singularities for the solution of the Dirichlet problem of the Laplacian in a polyhedron, Math Nachr, 149 (1990), 71-104.
    • (1990) Math Nachr , vol.149 , pp. 71-104
    • Von Petersdorff, T.1    Stephan, E.P.2
  • 22
    • 0033424153 scopus 로고    scopus 로고
    • Exponential convergence of the hp-version for the boundary element method on open surfaces
    • N. Heuer, M. Maischak, and E. P. Stephan, Exponential convergence of the hp-version for the boundary element method on open surfaces, Numer Math, 83 (1999), 641-666.
    • (1999) Numer Math , vol.83 , pp. 641-666
    • Heuer, N.1    Maischak, M.2    Stephan, E.P.3
  • 23
    • 21844497830 scopus 로고
    • Schwarz methods with local refinement for the p-version finite element method
    • L. F. Pavarino, Schwarz methods with local refinement for the p-version finite element method, Numer Math, 69 (1994), 185-211.
    • (1994) Numer Math , vol.69 , pp. 185-211
    • Pavarino, L.F.1
  • 25
    • 0035591847 scopus 로고    scopus 로고
    • Additive schwarz method for the p-version of the boundary element method for the single layer potential operator on a plane screen
    • N. Heuer, Additive Schwarz method for the p-version of the boundary element method for the single layer potential operator on a plane screen, Numer. Math., 88 (2001), 485-511.
    • (2001) Numer. Math. , vol.88 , pp. 485-511
    • Heuer, N.1
  • 26
    • 0007504592 scopus 로고    scopus 로고
    • Boundary integral operators in countably normed spaces
    • N. Heuer and E. P. Stephan, Boundary integral operators in countably normed spaces, Math Nachr, 191 (1998), 123-151.
    • (1998) Math Nachr , vol.191 , pp. 123-151
    • Heuer, N.1    Stephan, E.P.2
  • 27
    • 0348111233 scopus 로고    scopus 로고
    • Institut für Angewandte Mathematik, Universität Hannover, Hannover, Germany
    • M. Maischak, Technical manual of the program system maiprogs, Institut für Angewandte Mathematik, Universität Hannover, Hannover, Germany, http://www.ifam.uni-hannover.de/∼ maischak/maiprogs.html.
    • Technical Manual of the Program System Maiprogs
    • Maischak, M.1
  • 28
    • 0031371976 scopus 로고    scopus 로고
    • Aspects of an adaptive h-p finite element method: Adaptive strategy, conforming approximation and efficient solvers
    • M. Ainsworth and W. Senior, Aspects of an adaptive h-p finite element method: adaptive strategy, conforming approximation and efficient solvers, Comput Methods Appl Mech Engrg, 150 (1997), 65-87.
    • (1997) Comput Methods Appl Mech Engrg , vol.150 , pp. 65-87
    • Ainsworth, M.1    Senior, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.