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Volumn 194, Issue 2-5 SPEC. ISS., 2005, Pages 267-296

H1, H(curl) and H(div)-conforming projection-based interpolation in three dimensions Quasi-optimal p-interpolation estimates

Author keywords

hp finite elements; Maxwell's equations

Indexed keywords

COMPUTATIONAL METHODS; ERROR ANALYSIS; ESTIMATION; POLYNOMIALS;

EID: 10444251828     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.07.007     Document Type: Article
Times cited : (99)

References (23)
  • 1
    • 10444282928 scopus 로고    scopus 로고
    • Explicit polynomial preserving trace liftings on a triangle
    • ICES Report 03-47
    • M. Ainsworth, L. Demkowicz, Explicit polynomial preserving trace liftings on a triangle, ICES Report 03-47
    • Ainsworth, M.1    Demkowicz, L.2
  • 2
    • 0023400213 scopus 로고
    • The optimal convergence rate of the p-version of the finite element method
    • I. Babuška M. Suri The optimal convergence rate of the p-version of the finite element method SIAM J. Numer. Anal. 24 4 1987 750-776
    • (1987) SIAM J. Numer. Anal. , vol.24 , Issue.4 , pp. 750-776
    • Babuška, I.1    Suri, M.2
  • 3
    • 0003513286 scopus 로고
    • Approximation spectrale de problémes aux limites elliptiques
    • Berlin: Springer
    • C. Bernardi Y. Maday Approximation spectrale de problémes aux limites elliptiques 1992 Springer Berlin
    • (1992)
    • Bernardi, C.1    Maday, Y.2
  • 4
    • 0026169599 scopus 로고
    • Efficient preconditioning for the p-version finite element method in two dimensions
    • I. Babuška A. Craig J. Mandel J. Pitkaränta Efficient preconditioning for the p-version finite element method in two dimensions SIAM J. Numer. Anal. 28 3 1991 624-661
    • (1991) SIAM J. Numer. Anal. , vol.28 , Issue.3 , pp. 624-661
    • Babuška, I.1    Craig, A.2    Mandel, J.3    Pitkaränta, J.4
  • 5
    • 0035834895 scopus 로고    scopus 로고
    • On traces for functional spaces related to Maxwell's equations. Part I: An integration by parts formula in Lipschitz polyhedra
    • A. Buffa P. Ciarlet On traces for functional spaces related to Maxwell's equations. Part I: An integration by parts formula in Lipschitz polyhedra Math. Methods Appl. Sci. 24 2001 9-30
    • (2001) Math. Methods Appl. Sci. , vol.24 , pp. 9-30
    • Buffa, A.1    Ciarlet, P.2
  • 6
    • 0035834889 scopus 로고    scopus 로고
    • On traces for functional spaces related to Maxwell's equations. Part II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications
    • A. Buffa P. Ciarlet On traces for functional spaces related to Maxwell's equations. Part II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications Math. Meth. Appl. Sci. 21 2001 31-48
    • (2001) Math. Meth. Appl. Sci. , vol.21 , pp. 31-48
    • Buffa, A.1    Ciarlet, P.2
  • 7
    • 0345317910 scopus 로고    scopus 로고
    • Traces theorems for functional spaces related to Maxwell equations: An overwiew
    • Kiel, January 26th-28th
    • A. Buffa, Traces theorems for functional spaces related to Maxwell equations: An overwiew, in: Proceedings of the GAMM Workshop on Computational Electromagnetics, Kiel, January 26th-28th, 2001
    • (2001) Proceedings of the GAMM Workshop on Computational Electromagnetics
    • Buffa, A.1
  • 8
    • 0037115930 scopus 로고    scopus 로고
    • On traces for H(curl,Ω) in Lipshitz domains
    • A. Buffa M. Costabel D. Sheen On traces for H(curl,Ω) in Lipshitz domains J. Math. Anal. Appl. 276 2 2002 845-876
    • (2002) J. Math. Anal. Appl. , vol.276 , Issue.2 , pp. 845-876
    • Buffa, A.1    Costabel, M.2    Sheen, D.3
  • 11
    • 4544355436 scopus 로고    scopus 로고
    • Optimal p interpolation error estimates for edge finite elements of variable order in 2D
    • L. Demkowicz I. Babuška Optimal p interpolation error estimates for edge finite elements of variable order in 2D SIAM J. Numer. Anal. 41 4 2003 1195-1208
    • (2003) SIAM J. Numer. Anal. , vol.41 , Issue.4 , pp. 1195-1208
    • Demkowicz, L.1    Babuška, I.2
  • 13
    • 26444498532 scopus 로고    scopus 로고
    • hp-Adaptive finite elements for time-harmonic Maxwell equations
    • M. Ainsworth P. Davies D. Duncan P. Martin B. Rynne (Eds.). Lecture Notes in Computational Science and Engineering Springer Berlin
    • L. Demkowicz hp-Adaptive finite elements for time-harmonic Maxwell equations. In: M. Ainsworth P. Davies D. Duncan P. Martin B. Rynne (Eds.). Topics in Computational Wave Propagation Lecture Notes in Computational Science and Engineering 2003 Springer Berlin
    • (2003) Topics in Computational Wave Propagation
    • Demkowicz, L.1
  • 14
    • 34748888728 scopus 로고    scopus 로고
    • Fully automatic hp-adaptivity for Maxwell's equations
    • ICES Report 03-30
    • L. Demkowicz, Fully automatic hp-adaptivity for Maxwell's equations, ICES Report 03-30
    • Demkowicz, L.1
  • 15
    • 45449104161 scopus 로고    scopus 로고
    • Projection based interpolation
    • ICES Report 04-03
    • L. Demkowicz, Projection based interpolation, ICES Report 04-03
    • Demkowicz, L.1
  • 16
    • 0031533599 scopus 로고    scopus 로고
    • Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions
    • P. Fernandes G. Gilardi Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions Math. Meth. Models Appl. Sci. 7 1997 957-991
    • (1997) Math. Meth. Models Appl. Sci. , vol.7 , pp. 957-991
    • Fernandes, P.1    Gilardi, G.2
  • 17
    • 2342444420 scopus 로고    scopus 로고
    • Quasioptimality of some spectral mixed methods
    • J. Gopalakrishnan L. Demkowicz Quasioptimality of some spectral mixed methods J. Comput. Appl. Math. 167 1 2004 163-182
    • (2004) J. Comput. Appl. Math. , vol.167 , Issue.1 , pp. 163-182
    • Gopalakrishnan, J.1    Demkowicz, L.2
  • 19
    • 0002720272 scopus 로고    scopus 로고
    • Higher order Whitney forms
    • Universität Tübingen, Report 156, August
    • R. Hiptmair, Higher order Whitney forms, Sonderforschungsbereich 382, Universität Tübingen, Report 156, August, 2000
    • (2000) Sonderforschungsbereich , vol.382
    • Hiptmair, R.1
  • 20
    • 0002943819 scopus 로고    scopus 로고
    • Polynomial liftings on a tetrahedron and applications to the hp version of the finite element method in three dimensions
    • R. Munoz-Sola Polynomial liftings on a tetrahedron and applications to the hp version of the finite element method in three dimensions SIAM J. Numer. Anal. 34 1997 282-314
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 282-314
    • Munoz-Sola, R.1
  • 21
  • 22
    • 0009951681 scopus 로고    scopus 로고
    • Commuting quasi-interpolation operators for mixed finite elements
    • Preprint ISC-01-10-MATH, Texas A&M University
    • J. Schoeberl, Commuting quasi-interpolation operators for mixed finite elements, Preprint ISC-01-10-MATH, Texas A&M University, 2001
    • (2001)
    • Schoeberl, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.