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Volumn 195, Issue 37-40, 2006, Pages 4816-4842

Fully automatic hp-adaptivity in three dimensions

Author keywords

Automatic adaptivity; hp Finite elements

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); ERROR ANALYSIS; ESTIMATION; FINITE ELEMENT METHOD; INTERPOLATION; ITERATIVE METHODS; OPTIMIZATION;

EID: 33744922155     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.08.022     Document Type: Article
Times cited : (65)

References (23)
  • 1
    • 0001496839 scopus 로고    scopus 로고
    • A hierarchical domain decomposition preconditioner for hp finite element approximation on locally refined meshes
    • Ainsworth M. A hierarchical domain decomposition preconditioner for hp finite element approximation on locally refined meshes. SIAM J. Sci. Comput. 17 6 (1996) 1395-1414
    • (1996) SIAM J. Sci. Comput. , vol.17 , Issue.6 , pp. 1395-1414
    • Ainsworth, M.1
  • 2
    • 0028734274 scopus 로고
    • The p and hp versions of the finite element method, basic principles and properties
    • Babuška I., and Suri M. The p and hp versions of the finite element method, basic principles and properties. SIAM Rev. 36 (1994) 578-632
    • (1994) SIAM Rev. , vol.36 , pp. 578-632
    • Babuška, I.1    Suri, M.2
  • 4
    • 33744926399 scopus 로고    scopus 로고
    • L. Demkowicz, Projection based interpolation, in: Transactions on Structural Mechanics and Materials, Cracow University of Technology Publications, Cracow, 2004, Monograph 302, A special issue in honor of 70th Birthday of Prof. Gwidon Szefer, see also ICES Report 04-03.
  • 5
    • 10444271795 scopus 로고    scopus 로고
    • Fully automatic hp-adaptivity for Maxwell's equations
    • Demkowicz L. Fully automatic hp-adaptivity for Maxwell's equations. Comput. Methods Appl. Mech. Engrg. 194 (2005) 605-624
    • (2005) Comput. Methods Appl. Mech. Engrg. , vol.194 , pp. 605-624
    • Demkowicz, L.1
  • 6
    • 4544355436 scopus 로고    scopus 로고
    • p interpolation error estimates for edge finite elements of variable order in two dimensions
    • (electronic)
    • Demkowicz L., and Babuška I. p interpolation error estimates for edge finite elements of variable order in two dimensions. SIAM J. Numer. Anal. 41 4 (2003) 1195-1208 (electronic)
    • (2003) SIAM J. Numer. Anal. , vol.41 , Issue.4 , pp. 1195-1208
    • Demkowicz, L.1    Babuška, I.2
  • 7
    • 10444251828 scopus 로고    scopus 로고
    • 1, H(curl) and H(div)-conforming projection-based interpolation in three dimensions. Quasi-optimal p-interpolation estimates
    • 1, H(curl) and H(div)-conforming projection-based interpolation in three dimensions. Quasi-optimal p-interpolation estimates. Comput. Methods Appl. Mech. Engrg. 194 (2005) 267-296
    • (2005) Comput. Methods Appl. Mech. Engrg. , vol.194 , pp. 267-296
    • Demkowicz, L.1    Buffa, A.2
  • 10
    • 33744929832 scopus 로고    scopus 로고
    • L. Demkowicz, D. Pardo, W. Rachowicz, 3D hp-adaptive finite element package (3Dhp90), Version 2.0, Technical Report 24, TICAM, 2002.
  • 14
  • 15
    • 33744932391 scopus 로고    scopus 로고
    • D. Pardo, Integration of hp-adaptivity with a two grid solver: applications to electromagnetics, Ph.D. thesis, The University of Texas at Austin, April 2004.
  • 16
    • 28344443120 scopus 로고    scopus 로고
    • Integration of hp-adaptivity and a two-grid solver for elliptic problems
    • Pardo D., and Demkowicz L. Integration of hp-adaptivity and a two-grid solver for elliptic problems. Comput. Methods Appl. Mech. Engrg. 195 7-8 (2006) 674-710
    • (2006) Comput. Methods Appl. Mech. Engrg. , vol.195 , Issue.7-8 , pp. 674-710
    • Pardo, D.1    Demkowicz, L.2
  • 17
    • 0024885663 scopus 로고
    • Toward a universal hp-adaptive finite element strategy. Part 3: Design of hp meshes
    • Rachowicz W., Oden J.T., and Demkowicz L. Toward a universal hp-adaptive finite element strategy. Part 3: Design of hp meshes. Comput. Methods Appl. Mech. Engrg. 77 (1989) 181-212
    • (1989) Comput. Methods Appl. Mech. Engrg. , vol.77 , pp. 181-212
    • Rachowicz, W.1    Oden, J.T.2    Demkowicz, L.3
  • 18
    • 33744920534 scopus 로고    scopus 로고
    • J. Schoeberl, Commuting quasi-interpolation operators for mixed finite elements. Technical Report 10, Dept. of Mathematics, Texas A&M University, 2001.
  • 22
    • 33644600622 scopus 로고    scopus 로고
    • D. Pardo, L. Demkowicz, J. Gopalakrishnan, Integration of hp-adaptivity and a two grid solver for electromagnetic problems, Comput. Methods Appl. Mech. Engrg., in press, doi:10.1016/j.cma.2005.05.017.
  • 23
    • 27344460452 scopus 로고    scopus 로고
    • Optimal error estimate for the projection-based interpolation in three space dimensions
    • Cao W., and Demkowicz L. Optimal error estimate for the projection-based interpolation in three space dimensions. Comput. Math. Appl. 50 (2005) 359-366
    • (2005) Comput. Math. Appl. , vol.50 , pp. 359-366
    • Cao, W.1    Demkowicz, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.