메뉴 건너뛰기




Volumn 194, Issue 2-5 SPEC. ISS., 2005, Pages 559-586

Augmented formulations for solving Maxwell equations

Author keywords

Augmented variational formulations; Lagrange multipliers; Maxwell equations

Indexed keywords

COMPUTATIONAL METHODS; ELECTROMAGNETISM; HARMONIC ANALYSIS; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; PROBLEM SOLVING;

EID: 10444222621     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.05.021     Document Type: Article
Times cited : (55)

References (33)
  • 3
    • 0141459176 scopus 로고    scopus 로고
    • Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: The singular complement method
    • F. Assous P. Ciarlet Jr. S. Labrunie J. Segré Numerical solution to the time-dependent Maxwell equations in axisymmetric singular domains: The singular complement method J. Comput. Phys. 191 2003 147-176
    • (2003) J. Comput. Phys. , vol.191 , pp. 147-176
    • Assous, F.1    Ciarlet Jr., P.2    Labrunie, S.3    Segré, J.4
  • 4
    • 0032657042 scopus 로고    scopus 로고
    • A characterization of the singular part of the solution to Maxwell's equations in a polyhedral domain
    • F. Assous P. Ciarlet Jr. P.-A. Raviart E. Sonnendrücker A characterization of the singular part of the solution to Maxwell's equations in a polyhedral domain Math. Methods Appl. Sci. 22 1999 485-499
    • (1999) Math. Methods Appl. Sci. , vol.22 , pp. 485-499
    • Assous, F.1    Ciarlet Jr., P.2    Raviart, P.-A.3    Sonnendrücker, E.4
  • 5
    • 0000087870 scopus 로고    scopus 로고
    • Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method
    • F. Assous P. Ciarlet Jr. J. Segré Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: the singular complement method J. Comput. Phys. 161 2000 218-249
    • (2000) J. Comput. Phys. , vol.161 , pp. 218-249
    • Assous, F.1    Ciarlet Jr., P.2    Segré, J.3
  • 7
    • 0000171411 scopus 로고
    • On a finite element method for solving the three-dimensional Maxwell equations
    • F. Assous P. Degond E. Heintzé P.A. Raviart J. Segré On a finite element method for solving the three-dimensional Maxwell equations J. Comput. Phys. 109 1993 222-237
    • (1993) J. Comput. Phys. , vol.109 , pp. 222-237
    • Assous, F.1    Degond, P.2    Heintzé, E.3    Raviart, P.A.4    Segré, J.5
  • 8
    • 0039526857 scopus 로고    scopus 로고
    • Spectral element discretization of the Maxwell equations
    • F. Ben Belgacem C. Bernardi Spectral element discretization of the Maxwell equations Math. Comp. 68 1999 1497-1520
    • (1999) Math. Comp. , vol.68 , pp. 1497-1520
    • Ben Belgacem, F.1    Bernardi, C.2
  • 10
    • 0011982241 scopus 로고    scopus 로고
    • A singular field method for the solution of Maxwell's equations in polyhedral domains
    • A.-S. Bonnet-Ben Dhia C. Hazard S. Lohrengel A singular field method for the solution of Maxwell's equations in polyhedral domains SIAM J. Appl. Math. 59 1999 2028-2044
    • (1999) SIAM J. Appl. Math. , vol.59 , pp. 2028-2044
    • Bonnet-Ben Dhia, A.-S.1    Hazard, C.2    Lohrengel, S.3
  • 11
    • 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 Jr. 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 Jr., P.2
  • 12
    • 0035834889 scopus 로고    scopus 로고
    • On traces for functional spaces related to Maxwell's equations. Part II: Hodge decomposition on the boundary of Lipschitz polyhedra and applications
    • A. Buffa P. Ciarlet Jr. On traces for functional spaces related to Maxwell's equations. Part II: Hodge decomposition on the boundary of Lipschitz polyhedra and applications Math. Methods Appl. Sci. 24 2001 31-48
    • (2001) Math. Methods Appl. Sci. , vol.24 , pp. 31-48
    • Buffa, A.1    Ciarlet Jr., P.2
  • 14
    • 0000761434 scopus 로고    scopus 로고
    • Les équations de Maxwell dans un polyèdre : un résultat de densité
    • P. Ciarlet Jr. C. Hazard S. Lohrengel Les équations de Maxwell dans un polyèdre : Un résultat de densité C.R. Acad. Sci. Paris, Ser. I 326 1998 1305-1310
    • (1998) C.R. Acad. Sci. Paris, Ser. I , vol.326 , pp. 1305-1310
    • Ciarlet Jr., P.1    Hazard, C.2    Lohrengel, S.3
  • 15
    • 10444247595 scopus 로고    scopus 로고
    • Augmented formulations for solving Maxwell equations: Numerical analysis and experiments
    • in preparation
    • P. Ciarlet Jr., E. Jamelot, Augmented formulations for solving Maxwell equations: Numerical analysis and experiments, in preparation
    • Ciarlet Jr., P.1    Jamelot, E.2
  • 16
    • 0032209878 scopus 로고    scopus 로고
    • Un résultat de densité pour les équations de Maxwell régularisées dans un domaine lipschitzien
    • M. Costabel M. Dauge Un résultat de densité pour les équations de Maxwell régularisées dans un domaine lipschitzien C.R. Acad. Sci. Paris, Ser. I 327 1998 849-854
    • (1998) C.R. Acad. Sci. Paris, Ser. I , vol.327 , pp. 849-854
    • Costabel, M.1    Dauge, M.2
  • 17
    • 0036912227 scopus 로고    scopus 로고
    • Weighted regularization of Maxwell equations in polyhedral domains
    • M. Costabel M. Dauge Weighted regularization of Maxwell equations in polyhedral domains Numer. Math. 93 2002 239-277
    • (2002) Numer. Math. , vol.93 , pp. 239-277
    • Costabel, M.1    Dauge, M.2
  • 19
    • 0002555818 scopus 로고
    • An analysis of the Darwin model of approximation to Maxwell's equations
    • P. Degond P.-A. Raviart An analysis of the Darwin model of approximation to Maxwell's equations Forum Math. 4 1992 13-44
    • (1992) Forum Math. , vol.4 , pp. 13-44
    • Degond, P.1    Raviart, P.-A.2
  • 20
    • 0031699492 scopus 로고    scopus 로고
    • Modeling of electromagnetic absorption/scattering problems using hp-adaptive finite elements
    • L. Demkowicz L. Vardapetyan Modeling of electromagnetic absorption/scattering problems using hp-adaptive finite elements Comput. Methods Appl. Mech. Engrg. 152 1998 103-124
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.152 , pp. 103-124
    • Demkowicz, L.1    Vardapetyan, L.2
  • 21
    • 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
  • 22
    • 0035360604 scopus 로고    scopus 로고
    • Vector potential formulation for magnetostatics and modelling of permanent magnets
    • P. Fernandes I. Perugia Vector potential formulation for magnetostatics and modelling of permanent magnets IMA J. Appl. Math. 66 2001 293-318
    • (2001) IMA J. Appl. Math. , vol.66 , pp. 293-318
    • Fernandes, P.1    Perugia, I.2
  • 24
    • 0038042416 scopus 로고    scopus 로고
    • A singular field method for Maxwell's equations: Numerical aspects for 2D magnetostatics
    • C. Hazard S. Lohrengel A singular field method for Maxwell's equations: numerical aspects for 2D magnetostatics SIAM J. Appl. Math 40 2002 1021-1040
    • (2002) SIAM J. Appl. Math. , vol.40 , pp. 1021-1040
    • Hazard, C.1    Lohrengel, S.2
  • 25
    • 45949114901 scopus 로고
    • Mixed and penalty formulations for finite element analysis of an eigenvalue problem in electromagnetism
    • F. Kikuchi Mixed and penalty formulations for finite element analysis of an eigenvalue problem in electromagnetism Comput. Methods Appl. Mech. Engrg. 64 1987 509-521
    • (1987) Comput. Methods Appl. Mech. Engrg. , vol.64 , pp. 509-521
    • Kikuchi, F.1
  • 26
    • 0003896053 scopus 로고
    • Problèmes aux limites non homogènes et applications
    • Paris, France: Dunod
    • J.-L. Lions E. Magenes Problèmes aux limites non homogènes et applications 1968 Dunod Paris, France
    • (1968)
    • Lions, J.-L.1    Magenes, E.2
  • 27
    • 0036381879 scopus 로고    scopus 로고
    • Singularities and density problems for composite materials in electromagnetism
    • S. Lohrengel S. Nicaise Singularities and density problems for composite materials in electromagnetism Commun. Part. Diff. Eq. 27 2002 1575-1623
    • (2002) Commun. Part. Diff. Eq. , vol.27 , pp. 1575-1623
    • Lohrengel, S.1    Nicaise, S.2
  • 30
    • 0035382418 scopus 로고    scopus 로고
    • Edge elements on anisotropic meshes and approximation of the Maxwell equations
    • S. Nicaise Edge elements on anisotropic meshes and approximation of the Maxwell equations SIAM J. Numer. Anal. 39 2001 784-816
    • (2001) SIAM J. Numer. Anal. , vol.39 , pp. 784-816
    • Nicaise, S.1
  • 31
    • 0037049917 scopus 로고    scopus 로고
    • An hp-adaptive finite element method for electromagnetics - Part II: A 3D implementation
    • W. Rachowicz L. Demkowicz An hp-adaptive finite element method for electromagnetics - Part II: A 3D implementation Int. J. Numer. Math. Engng 53 2002 147-180
    • (2002) Int. J. Numer. Math. Engng. , vol.53 , pp. 147-180
    • Rachowicz, W.1    Demkowicz, L.2
  • 33
    • 84979103896 scopus 로고
    • A local compactness theorem for Maxwell's equations
    • C. Weber A local compactness theorem for Maxwell's equations Math. Methods Appl. Sci. 2 1980 12-25
    • (1980) Math. Methods Appl. Sci. , vol.2 , pp. 12-25
    • Weber, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.