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Volumn 87, Issue 2, 2000, Pages 229-246

Fortin operator and discrete compactness for edge elements

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EID: 0034556469     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110000182     Document Type: Article
Times cited : (93)

References (25)
  • 2
  • 3
    • 54249116319 scopus 로고
    • Eigenvalue problems
    • P. Ciarlet, J. Lions, eds., North-Holland
    • I. Babuška and J. Osborn, Eigenvalue problems. In: Handbook of numerical analysis, P. Ciarlet, J. Lions, eds., vol. II. North-Holland, 1991, pp. 641-787
    • (1991) Handbook of Numerical Analysis , vol.2 , pp. 641-787
    • Babuška, I.1    Osborn, J.2
  • 5
    • 0034383380 scopus 로고    scopus 로고
    • On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form
    • D. Boffi, F. Brezzi, L. Gastaldi On the problem of spurious eigenvalues in the approximation of linear elliptic problems in mixed form. Math. Comp. 69 (1999), 121-140
    • (1999) Math. Comp. , vol.69 , pp. 121-140
    • Boffi, D.1    Brezzi, F.2    Gastaldi, L.3
  • 6
    • 0000807589 scopus 로고    scopus 로고
    • Computational models of electro-magnetic resonators: Analysis of edge element approximation
    • D. Boffi, P. Fernandes, L. Gastaldi, and I. Perugia, Computational models of electro-magnetic resonators: analysis of edge element approximation. SIAM J. Numer. Anal. 36 (1998), 1264-1290
    • (1998) SIAM J. Numer. Anal. , vol.36 , pp. 1264-1290
    • Boffi, D.1    Fernandes, P.2    Gastaldi, L.3    Perugia, I.4
  • 8
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle point problems arising from Lagrange multipliers
    • F. Brezzi, On the existence, uniqueness and approximation of saddle point problems arising from Lagrange multipliers. R.A.I.R.O., Anal. Numer. 8 (1974) 129-151
    • (1974) R.A.I.R.O., Anal. Numer. , vol.8 , pp. 129-151
    • Brezzi, F.1
  • 10
    • 0040843328 scopus 로고    scopus 로고
    • Fully discrete finite element approaches for time-dependent maxwell equation
    • J. P. Ciarlet, J. Zou, Fully discrete finite element approaches for time-dependent maxwell equation. Numer. Math. 82 (1999), 193-219
    • (1999) Numer. Math. , vol.82 , pp. 193-219
    • Ciarlet, J.P.1    Zou, J.2
  • 12
    • 0025503082 scopus 로고
    • Discrete vector potential representation of a divergence free vector field in three dimensional domains: Numerical analysis of a model problem
    • F. Dubois, Discrete vector potential representation of a divergence free vector field in three dimensional domains: Numerical analysis of a model problem. SIAM J. Numer. Anal. 27 (1990), 1103-1141
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 1103-1141
    • Dubois, F.1
  • 13
    • 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. Models Methods Appl. Sci. 7 (1997), 957-991
    • (1997) Math. Models Methods Appl. Sci. , vol.7 , pp. 957-991
    • Fernandes, P.1    Gilardi, G.2
  • 14
    • 0017633213 scopus 로고
    • An analysis of the convergence of mixed finite element methods
    • M. Fortin, An analysis of the convergence of mixed finite element methods. R.A.I.R.O., Anal. Numer. 11 (1977), 341-354
    • (1977) R.A.I.R.O., Anal. Numer. , vol.11 , pp. 341-354
    • Fortin, M.1
  • 16
    • 0033461694 scopus 로고    scopus 로고
    • Canonical construction of finite elements
    • R. Hiptmair, Canonical construction of finite elements. MAth. Comp. 68 (1999), 1325-1346
    • (1999) Math. Comp. , vol.68 , pp. 1325-1346
    • Hiptmair, R.1
  • 17
    • 0040479610 scopus 로고    scopus 로고
    • Overlapping schwarz methods for vectors for vector valued elliptic problems in three dimensions
    • "Parallel solution of PDEs", Springer, Berlin, Heidelberg, New York
    • R. Hiptmair, A. Toselli, Overlapping schwarz methods for vectors for vector valued elliptic problems in three dimensions. In "Parallel solution of PDEs", IMA Volume in Mathemetics and its Applications. Springer, Berlin, Heidelberg, New York 1998
    • (1998) IMA Volume in Mathemetics and Its Applications
    • Hiptmair, R.1    Toselli, A.2
  • 18
    • 0000116089 scopus 로고
    • On a discrete compactness property for the Nédélec finite elements
    • Univ. Tokyo, Sect. I
    • F. Kikuchi, On a discrete compactness property for the Nédélec finite elements. J. Fac. Sci., Univ. Tokyo, Sect. I A 36 (1989), 479-490
    • (1989) J. Fac. Sci. , vol.36 A , pp. 479-490
    • Kikuchi, F.1
  • 20
    • 0013013596 scopus 로고
    • Time-discrete finite element schemes for Maxwell's equations
    • C. G. Makridakis, P. Monk, Time-discrete finite element schemes for Maxwell's equations. Math. Mod. and Numer. Anal. 29 (1995), 171-197
    • (1995) Math. Mod. and Numer. Anal. , vol.29 , pp. 171-197
    • Makridakis, C.G.1    Monk, P.2
  • 21
    • 0002910232 scopus 로고
    • An analysis of Nédélec's method for the spatial discretization of Maxwell's equations
    • P. Monk, An analysis of Nédélec's method for the spatial discretization of Maxwell's equations. J. Comp. Appl. Math. 47 (1993), 101-121
    • (1993) J. Comp. Appl. Math. , vol.47 , pp. 101-121
    • Monk, P.1
  • 24
    • 0001175293 scopus 로고
    • A mixed finite element method for second order elliptic problems
    • Mathematical Aspects of the Finite Element Method, I. Galligani and E. Magenes, eds., New York, Springer
    • P.-A. Raviart, J.-M. Thomas, A mixed finite element method for second order elliptic problems. In: Mathematical Aspects of the Finite Element Method, I. Galligani and E. Magenes, eds., vol. 606 of Lecture Notes in Math., New York, 1977, Springer, pp. 292-315
    • (1977) Lecture Notes in Math. , vol.606 , pp. 292-315
    • Raviart, P.-A.1    Thomas, J.-M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.