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Volumn 196, Issue 37-40 SPEC. ISS., 2007, Pages 3534-3545

A fully automatic hp-adaptivity for elliptic PDEs in three dimensions

Author keywords

Automatic hp adaptivity; hp finite elements

Indexed keywords

APPROXIMATION THEORY; DEGREES OF FREEDOM (MECHANICS); FINITE ELEMENT METHOD; INTERPOLATION; MESH GENERATION;

EID: 34447102872     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2006.10.053     Document Type: Article
Times cited : (20)

References (19)
  • 1
    • 0031642814 scopus 로고    scopus 로고
    • An adaptive refinement strategy for hp-finite element computations
    • Ainsworth M., and Senior B. An adaptive refinement strategy for hp-finite element computations. Appl. Numer. Math. 26 (1998) 165-178
    • (1998) Appl. Numer. Math. , vol.26 , pp. 165-178
    • Ainsworth, M.1    Senior, B.2
  • 2
    • 0030189240 scopus 로고    scopus 로고
    • Approximation properties of the h-p version of the finite element method
    • Babuška I., and Guo B. Approximation properties of the h-p version of the finite element method. Comput. Methods Appl. Mech. Engrg. 133 (1996) 319-346
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.133 , pp. 319-346
    • Babuška, I.1    Guo, B.2
  • 3
    • 27344460452 scopus 로고    scopus 로고
    • Optimal error estimate of a projection based interpolation for the p-version approximation in three dimensions
    • Cao W., and Demkowicz L. Optimal error estimate of a projection based interpolation for the p-version approximation in three dimensions. Comput. Math. Appl. 50 (2005) 359-366
    • (2005) Comput. Math. Appl. , vol.50 , pp. 359-366
    • Cao, W.1    Demkowicz, L.2
  • 4
    • 34447104792 scopus 로고    scopus 로고
    • L. Demkowicz, Projection-based interpolation, Technical Report 04-03, ICES, UT Austin, 2004.
  • 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
    • 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
  • 7
    • 34447102093 scopus 로고    scopus 로고
    • Conjugated Bubnov-Galerkin infinite element for Maxwell's equations
    • Compatible Spatial Discretizations for Partial Differential Equations, Springer, NY
    • Demkowicz L., and Kurtz J. Conjugated Bubnov-Galerkin infinite element for Maxwell's equations. Compatible Spatial Discretizations for Partial Differential Equations. IMA Volumes in Mathematics and its Applications vol. 142 (2006), Springer, NY
    • (2006) IMA Volumes in Mathematics and its Applications , vol.142
    • Demkowicz, L.1    Kurtz, J.2
  • 9
    • 34447104312 scopus 로고    scopus 로고
    • L. Demkowicz, D. Pardo, W. Rachowicz, 3D hp-adaptive finite element package (3Dhp90), version 2.0, The ultimate (?) data structure for three-dimensional, anisotropic hp refinements, Technical Report 02-24, TICAM, UT Austin, 2002.
  • 11
    • 34447092971 scopus 로고    scopus 로고
    • T. Eibner, J.M. Melenk, An adaptive strategy for hp-FEM based on testing for analyticity, Technical Report 12/2004, Department of Mathematics, University of Reading, 2004. .
  • 12
    • 0000916087 scopus 로고
    • The h, p and h-p versions of the finite element method in 1 dimension - Part I. The error analysis of the p-version, part ii. the error analysis of the h- and h-p-versions, Part III. the adaptive h-p version
    • Gui W., and Babuška I. The h, p and h-p versions of the finite element method in 1 dimension - Part I. The error analysis of the p-version, part ii. the error analysis of the h- and h-p-versions, Part III. the adaptive h-p version. Numer. Math. 49 (1986) 577-683
    • (1986) Numer. Math. , vol.49 , pp. 577-683
    • Gui, W.1    Babuška, I.2
  • 13
    • 0039977843 scopus 로고
    • The h-p version of the finite element method - Part 1: The basic approximation results, Part 2: General results and applications
    • Guo B., and Babuška I. The h-p version of the finite element method - Part 1: The basic approximation results, Part 2: General results and applications. Comput. Mech. 1 21-41 (1986) 203-220
    • (1986) Comput. Mech. , vol.1 , Issue.21-41 , pp. 203-220
    • Guo, B.1    Babuška, I.2
  • 14
    • 34447094527 scopus 로고    scopus 로고
    • D. Pardo, L. Demkowicz, Fully automatic goal-oriented hp-adaptivity for elliptic problems, Technical Report, Baker-Atlas, 2004.
  • 15
    • 34447107849 scopus 로고    scopus 로고
    • M. Paszynski, L. Demkowicz, Parallel, fully automatic hp-adaptive 3D finite element package, Technical Report 05-33, ICES, UT Austin, 2005.
  • 17
    • 34447092304 scopus 로고    scopus 로고
    • W. Rachowicz, An hp finite element method for one-irregular meshes, error estimation and mesh refinement strategy, Ph.D. thesis, The University of Texas at Austin, 1989.
  • 18
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.