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Volumn 31, Issue 4, 2005, Pages 425-457

FEMSTER: An object-oriented class library of high-order discrete differential forms

Author keywords

Computational electromagnetism; High order finite element; Object oriented programming; (div) and (curl) conforming finite element methods

Indexed keywords

COMPUTATIONAL GEOMETRY; DIGITAL LIBRARIES; ELECTROMAGNETISM; OBJECT ORIENTED PROGRAMMING; PROBLEM SOLVING; USER INTERFACES;

EID: 33745194320     PISSN: 00983500     EISSN: 00983500     Source Type: Journal    
DOI: 10.1145/1114268.1114269     Document Type: Review
Times cited : (39)

References (36)
  • 2
    • 10444290190 scopus 로고    scopus 로고
    • Discrete dispersion relation for hp-version finite element approximation at high wave number
    • AINSWORTH, M. 2004. Discrete dispersion relation for hp-version finite element approximation at high wave number. SIAM J. Num. Anal. 42, 2, 553-575.
    • (2004) SIAM J. Num. Anal. , vol.42 , Issue.2 , pp. 553-575
    • Ainsworth, M.1
  • 3
    • 84858886909 scopus 로고    scopus 로고
    • Conditioning of hierarchic p-version Nédélec elements on meshes of curvilinear quadrilaterals and hexahedra
    • Department of Mathematics, University of Strathclyde, Glasgow, U.K.
    • AINSWORTH, M. AND COYLE, J. 2001a. Conditioning of hierarchic p-version Nédélec elements on meshes of curvilinear quadrilaterals and hexahedra. Tech. rep., Department of Mathematics, University of Strathclyde, Glasgow, U.K.
    • (2001) Tech. Rep.
    • Ainsworth, M.1    Coyle, J.2
  • 4
    • 0035850687 scopus 로고    scopus 로고
    • Hierarchic hp-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes
    • AINSWORTH, M. AND COYLE, J. 2001b. Hierarchic hp-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes. Comput. Methods Appl. Mech. Eng. 190, 6709-6733.
    • (2001) Comput. Methods Appl. Mech. Eng. , vol.190 , pp. 6709-6733
    • Ainsworth, M.1    Coyle, J.2
  • 5
    • 0141962819 scopus 로고    scopus 로고
    • Hierarchic finite element bases on unstructured tetrahedral meshes
    • Department of Mathematics, University of Strathclyde, Glasgow, U.K.
    • AINSWORTH, M. AND COYLE, J. 2002. Hierarchic finite element bases on unstructured tetrahedral meshes. Tech. rep., Department of Mathematics, University of Strathclyde, Glasgow, U.K.
    • (2002) Tech. Rep.
    • Ainsworth, M.1    Coyle, J.2
  • 6
    • 84858892307 scopus 로고    scopus 로고
    • Computation of Maxwell eingenvalues on curvilinear domains using hp-version of Nédélec elements
    • Department of Mathematics, University of Strathclyde, Glasgow, U.K.
    • AINSWORTH, M. AND COYLE, J. 2003. Computation of Maxwell eingenvalues on curvilinear domains using hp-version of Nédélec elements. Tech. rep., Department of Mathematics, University of Strathclyde, Glasgow, U.K.
    • (2003) Tech. Rep.
    • Ainsworth, M.1    Coyle, J.2
  • 8
    • 0029504921 scopus 로고
    • A posteriori estimation and adaptive control of the pollution error in the h-version of the finite element method for finite element solution of Helmholtz
    • BABUSKA, I., STROUBOULIS, T., UPADHYAY, C., AND GANGARAJ, S. K. 1995. A posteriori estimation and adaptive control of the pollution error in the h-version of the finite element method for finite element solution of Helmholtz. Internat. J. Numer. Methods Eng. 38, 24, 4207-4235.
    • (1995) Internat. J. Numer. Methods Eng. , vol.38 , Issue.24 , pp. 4207-4235
    • Babuska, I.1    Strouboulis, T.2    Upadhyay, C.3    Gangaraj, S.K.4
  • 9
    • 0022709620 scopus 로고
    • Differential forms and electromagnetism in 3-dimensional Euclidean space R3
    • BALDOMIR, D. 1986. Differential forms and electromagnetism in 3-dimensional Euclidean space R3. IEEE Proc. 133, 3, 139-143.
    • (1986) IEEE Proc. , vol.133 , Issue.3 , pp. 139-143
    • Baldomir, D.1
  • 11
    • 0003881705 scopus 로고
    • Springer Series in Computational Mathematics. Springer Verlag, Berlin, Germany
    • BREZZI, F. AND FORTIN, M. 1991. Mixed and Hybrid Finite Element Methods. Springer Series in Computational Mathematics. Springer Verlag, Berlin, Germany.
    • (1991) Mixed and Hybrid Finite Element Methods
    • Brezzi, F.1    Fortin, M.2
  • 14
    • 0005778524 scopus 로고    scopus 로고
    • Discrete electromagnetism with the finite integration technique
    • F. Texeira, ed. Vol. 32 of PIER. EMW Publishing, Cambridge, MA
    • CLEMENS, M. AND WEILAND, T. 2001. Discrete electromagnetism with the finite integration technique. In Geometric Methods for Computational Electromagnetics, F. Texeira, ed. Vol. 32 of PIER. EMW Publishing, Cambridge, MA, 189-206.
    • (2001) Geometric Methods for Computational Electromagnetics , pp. 189-206
    • Clemens, M.1    Weiland, T.2
  • 15
    • 0019583846 scopus 로고
    • Electromagnetics and differential forms
    • DESCHAMPS, G. 1981. Electromagnetics and differential forms. IEEE Proc. 69, 6, 676-687.
    • (1981) IEEE Proc. , vol.69 , Issue.6 , pp. 676-687
    • Deschamps, G.1
  • 16
    • 0031102124 scopus 로고    scopus 로고
    • Higher order interpolatory vector bases for computational electromagnetics
    • GRAGLIA, R., WILTON, P., AND PETERSON, A. 1997. Higher order interpolatory vector bases for computational electromagnetics. IEEE Trans. Ant. Prop. 45, 3, 329-342.
    • (1997) IEEE Trans. Ant. Prop. , vol.45 , Issue.3 , pp. 329-342
    • Graglia, R.1    Wilton, P.2    Peterson, A.3
  • 18
    • 0033461694 scopus 로고    scopus 로고
    • Canonical construction of finite elements
    • HIPTMAIR, R. 1999. Canonical construction of finite elements. Math. Comp. 68, 228, 1325-1346.
    • (1999) Math. Comp. , vol.68 , Issue.228 , pp. 1325-1346
    • Hiptmair, R.1
  • 19
    • 0035043791 scopus 로고    scopus 로고
    • Discrete Hodge operators: An algebraic perspective
    • HIPTMAIR, R. 2001. Discrete Hodge operators: An algebraic perspective. J. Electromag. Waves Appl. 15, 3, 343-344.
    • (2001) J. Electromag. Waves Appl. , vol.15 , Issue.3 , pp. 343-344
    • Hiptmair, R.1
  • 20
    • 85095827382 scopus 로고    scopus 로고
    • Finite elements in computational electromagnetism
    • HIPTMAIR, R. 2002. Finite elements in computational electromagnetism. Acta Numerica, 11, Jan., 237-339.
    • (2002) Acta Numerica , vol.11 , Issue.JAN. , pp. 237-339
    • Hiptmair, R.1
  • 21
    • 0000397429 scopus 로고    scopus 로고
    • Mimetic discretization for Maxwell's equations
    • HYMAN, J. AND SHASHKOV, M. 1999. Mimetic discretization for Maxwell's equations. J. Comput. Phys. 151, 2, 881-909.
    • (1999) J. Comput. Phys. , vol.151 , Issue.2 , pp. 881-909
    • Hyman, J.1    Shashkov, M.2
  • 22
    • 34250256485 scopus 로고
    • Mixed finite elements in r3
    • NÉDÉLEC, J. C. 1980. mixed finite elements in r3. Numer. Math. 35, 315-341.
    • (1980) Numer. Math. , vol.35 , pp. 315-341
    • Nédélec, J.C.1
  • 23
    • 34250103285 scopus 로고
    • A new family of mixed finite elements in r3
    • NÉDÉLEC, J. C. 1986. A new family of mixed finite elements in r3. Numer. Math. 50, 57-81.
    • (1986) Numer. Math. , vol.50 , pp. 57-81
    • Nédélec, J.C.1
  • 24
    • 0001175293 scopus 로고
    • A mixed finite element method for 2nd order elliptic problems
    • I. Galligani and E. Mayera, eds. Lecture Notes, in Mathematics, Springer Verlag, Berlin, Germany
    • RAVIART, P. AND THOMAS, J. 1977. A mixed finite element method for 2nd order elliptic problems. In Mathematical Aspects of the Finite Element Method, I. Galligani and E. Mayera, eds. Lecture Notes, in Mathematics, vol. 606. Springer Verlag, Berlin, Germany, 293-315.
    • (1977) Mathematical Aspects of the Finite Element Method , vol.606 , pp. 293-315
    • Raviart, P.1    Thomas, J.2
  • 25
    • 15944428212 scopus 로고    scopus 로고
    • A high order mixed finite element method for solving the time dependent Maxwell equations on unstructured grids
    • RIEBEN, R., RODRIGUE, G., AND WHITE, D. 2005. A high order mixed finite element method for solving the time dependent Maxwell equations on unstructured grids. J. Computat. Phys. 204, 4, 490-579.
    • (2005) J. Computat. Phys. , vol.204 , Issue.4 , pp. 490-579
    • Rieben, R.1    Rodrigue, G.2    White, D.3
  • 26
    • 0036298745 scopus 로고    scopus 로고
    • A vector finite element time-domain method for solving Maxwell's equations on unstructured hexahedral grids
    • RODRIGUE, G. AND WHITE, D. 2001. A vector finite element time-domain method for solving Maxwell's equations on unstructured hexahedral grids. SIAM J. Sci. Comp. 23, 3, 683-706.
    • (2001) SIAM J. Sci. Comp. , vol.23 , Issue.3 , pp. 683-706
    • Rodrigue, G.1    White, D.2
  • 28
    • 84887478000 scopus 로고    scopus 로고
    • Topological approach to computational electromagnetism
    • F. Texeira, ed. Vol. 32 of PIER. EMW Publishing, Cambridge, MA
    • TARHASAARI, T. AND KETTUNEN, L. 2001. Topological approach to computational electromagnetism. In Geometric Methods for Computational Electromagnetics, F. Texeira, ed. Vol. 32 of PIER. EMW Publishing, Cambridge, MA, 189-206.
    • (2001) Geometric Methods for Computational Electromagnetics , pp. 189-206
    • Tarhasaari, T.1    Kettunen, L.2
  • 30
    • 0001221130 scopus 로고    scopus 로고
    • A direct formulation of field laws: The cell method
    • TONTI, E. 2001. A direct formulation of field laws: The cell method. Comput. Mod. Eng. Sci. 2, 2, 237-258.
    • (2001) Comput. Mod. Eng. Sci. , vol.2 , Issue.2 , pp. 237-258
    • Tonti, E.1
  • 31
    • 0028545489 scopus 로고
    • An investigation of numerical dispersion in the vector finite element method using quadrilateral elements
    • WARREN, S. AND SCOTT, W. 1994. An investigation of numerical dispersion in the vector finite element method using quadrilateral elements. IEEE Trans. Ant. Prop. 42, 11, 1502-1508.
    • (1994) IEEE Trans. Ant. Prop. , vol.42 , Issue.11 , pp. 1502-1508
    • Warren, S.1    Scott, W.2
  • 32
    • 0029360197 scopus 로고
    • Numerical dispersion in the finite element method using triangular edge elements
    • WARREN, S. AND SCOTT, W. 1995. Numerical dispersion in the finite element method using triangular edge elements. Opt. Tech. Lett. 9, 6, 315-319.
    • (1995) Opt. Tech. Lett. , vol.9 , Issue.6 , pp. 315-319
    • Warren, S.1    Scott, W.2
  • 33
    • 0030194949 scopus 로고    scopus 로고
    • Time domain electromagnetic field computation with finite difference methods
    • WEILAND, T. 1996. Time domain electromagnetic field computation with finite difference methods. Int. J. Numer. Modelling 9, 295-319.
    • (1996) Int. J. Numer. Modelling , vol.9 , pp. 295-319
    • Weiland, T.1
  • 34
    • 0033879052 scopus 로고    scopus 로고
    • Numerical dispersion of a vector finite element method on skewed hexahedral grids
    • WHITE, D. 2000. Numerical dispersion of a vector finite element method on skewed hexahedral grids. Commun. Numer. Meth. Eng. 16, 47-55.
    • (2000) Commun. Numer. Meth. Eng. , vol.16 , pp. 47-55
    • White, D.1
  • 36
    • 84894021661 scopus 로고
    • Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media
    • YEE, K. S. 1966. Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Trans. Ant. Prop. 14, 3, 302-307.
    • (1966) IEEE Trans. Ant. Prop. , vol.14 , Issue.3 , pp. 302-307
    • Yee, K.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.