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Volumn 229, Issue 2, 2010, Pages 512-526

Locally implicit discontinuous Galerkin method for time domain electromagnetics

Author keywords

Computational electromagnetics; Discontinuous Galerkin method; Hybrid explicit implicit scheme; Time domain Maxwell's equations; Unstructured tetrahedral meshes

Indexed keywords

ELECTROMAGNETIC WAVE PROPAGATION; GALERKIN METHODS; INTEGRAL EQUATIONS; INTEGRATION; LINEAR SYSTEMS; MAXWELL EQUATIONS; NUMERICAL METHODS; POLYNOMIAL APPROXIMATION; TIME DOMAIN ANALYSIS;

EID: 78649442214     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.09.038     Document Type: Article
Times cited : (83)

References (27)
  • 1
    • 0033884893 scopus 로고    scopus 로고
    • J.-Y. L'Excellent, Multifrontal parallel distributed symmetric and unsymmetric solvers
    • P. Amestoy, I. Duff, J.-Y. L'Excellent, Multifrontal parallel distributed symmetric and unsymmetric solvers, Comput. Meth. Appl. Mech. Eng. 184 (2000) 501-520.
    • (2000) Comput. Meth. Appl. Mech. Eng. , vol.184 , pp. 501-520
    • Amestoy, P.1    Duff, I.2
  • 2
    • 24944582018 scopus 로고    scopus 로고
    • Provably good sampling and meshing of surfaces
    • J.-D. Boissonnat, S. Oudot, Provably good sampling and meshing of surfaces, Graph. Models 67 (5) (2005) 405-451.
    • (2005) Graph. Models , vol.67 , Issue.5 , pp. 405-451
    • Boissonnat, J.-D.1    Oudot, S.2
  • 3
    • 77953105980 scopus 로고    scopus 로고
    • An implicit discontinuous Galerkin time-domain method for two-dimensional electromagnetic wave propagation
    • A. Catella, V. Dolean, S. Lanteri, An implicit discontinuous Galerkin time-domain method for two-dimensional electromagnetic wave propagation, COMPEL 29 (3) (2010).
    • (2010) COMPEL , vol.29 , Issue.3
    • Catella, A.1    Dolean, V.2    Lanteri, S.3
  • 4
    • 17444409297 scopus 로고    scopus 로고
    • High-order RKDG methods for computational electromagnetics
    • M. Chen, B. Cockburn, F. Reitich, High-order RKDG methods for computational electromagnetics, J. Sci. Comput. (2005) 205-226.
    • (2005) J. Sci. Comput. , pp. 205-226
    • Chen, M.1    Cockburn, B.2    Reitich, F.3
  • 6
    • 33748559096 scopus 로고    scopus 로고
    • A spatial high order hexahedral discontinuous Galerkin method to solve Maxwell's equations in time-domain
    • G. Cohen, X. Ferrieres, S. Pernet, A spatial high order hexahedral discontinuous Galerkin method to solve Maxwell's equations in time-domain, J. Comput. Phys. 217 (2) (2006) 340-363.
    • (2006) J. Comput. Phys. , vol.217 , Issue.2 , pp. 340-363
    • Cohen, G.1    Ferrieres, X.2    Pernet, S.3
  • 8
    • 33751029356 scopus 로고    scopus 로고
    • A brick-tetrahedron finite-element interface with stable hybrid explicit-implicit time-stepping for Maxwell's equations
    • D. Degerfeldt, T. Rylander, A brick-tetrahedron finite-element interface with stable hybrid explicit-implicit time-stepping for Maxwell's equations, J. Comput. Phys. 220 (1) (2006) 383-393.
    • (2006) J. Comput. Phys. , vol.220 , Issue.1 , pp. 383-393
    • Degerfeldt, D.1    Rylander, T.2
  • 11
    • 30344457009 scopus 로고    scopus 로고
    • Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructuredmeshes
    • L. Fezoui, S. Lanteri, S. Lohrengel, S. Piperno, Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructuredmeshes, ESAIM: Math. Model. Numer. Anal. 39 (6) (2005) 1149-1176.
    • (2005) ESAIM: Math. Model. Numer. Anal. , vol.39 , Issue.6 , pp. 1149-1176
    • Fezoui, L.1    Lanteri, S.2    Lohrengel, S.3    Piperno, S.4
  • 14
    • 0036740992 scopus 로고    scopus 로고
    • Nodal high-order methods on unstructured grids. I. Time-domain solution of Maxwell's equations
    • J. Hesthaven, T. Warburton, Nodal high-order methods on unstructured grids. I. Time-domain solution of Maxwell's equations, J. Comput. Phys. 181 (1) (2002) 186-221.
    • (2002) J. Comput. Phys. , vol.181 , Issue.1 , pp. 186-221
    • Hesthaven, J.1    Warburton, T.2
  • 15
    • 34547533181 scopus 로고    scopus 로고
    • Application of implicit-explicit high order Runge-Kutta methods to discontinuous Galerkin schemes
    • A. Kanevsky, M. Carpenter, D. Gottlieb, J. Hesthaven, Application of implicit-explicit high order Runge-Kutta methods to discontinuous Galerkin schemes, J. Comput. Phys. 225 (2) (2007) 1753-1781.
    • (2007) J. Comput. Phys. , vol.225 , Issue.2 , pp. 1753-1781
    • Kanevsky, A.1    Carpenter, M.2    Gottlieb, D.3    Hesthaven, J.4
  • 16
    • 1542740098 scopus 로고    scopus 로고
    • Some unconditionally stable time stepping methods for the 3D Maxwell's equations
    • J. Lee, B. Fornberg, Some unconditionally stable time stepping methods for the 3D Maxwell's equations, J. Comput. Appl. Math. 166 (2004) 497-523.
    • (2004) J. Comput. Appl. Math. , vol.166 , pp. 497-523
    • Lee, J.1    Fornberg, B.2
  • 18
    • 17444409296 scopus 로고    scopus 로고
    • A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media
    • P. Monk, G. Richter, A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media, J. Sci. Comput. (2005) 443-477.
    • (2005) J. Sci. Comput. , pp. 443-477
    • Monk, P.1    Richter, G.2
  • 19
    • 0034297237 scopus 로고    scopus 로고
    • 3D ADI-FDTD method unconditionally stable time-domain algorithm for solving full vector Maxwell's equations
    • T. Namiki, 3D ADI-FDTD method unconditionally stable time-domain algorithm for solving full vector Maxwell's equations, IEEE Trans. Microwave Theory Tech. 48 (10) (2000) 1743-1748.
    • (2000) IEEE Trans. Microwave Theory Tech. , vol.48 , Issue.10 , pp. 1743-1748
    • Namiki, T.1
  • 20
    • 27644583263 scopus 로고    scopus 로고
    • High spatial order finite element method to solve Maxwell's equations in time-domain
    • S. Pernet, X. Ferrieres, G. Cohen, High spatial order finite element method to solve Maxwell's equations in time-domain, IEEE Trans. Antenn. Propag. 53 (9) (2006) 2889-2899.
    • (2006) IEEE Trans. Antenn. Propag. , vol.53 , Issue.9 , pp. 2889-2899
    • Pernet, S.1    Ferrieres, X.2    Cohen, G.3
  • 21
    • 33846453567 scopus 로고    scopus 로고
    • Symplectic local time stepping in non-dissipative DGTD methods applied to wave propagation problem
    • S. Piperno, Symplectic local time stepping in non-dissipative DGTD methods applied to wave propagation problem, ESAIM: Math. Model. Numer. Anal. 40 (5) (2006) 815-841.
    • (2006) ESAIM: Math. Model. Numer. Anal. , vol.40 , Issue.5 , pp. 815-841
    • Piperno, S.1
  • 23
    • 0036647696 scopus 로고    scopus 로고
    • Stability of explicit-implicit hybrid time-stepping schemes for Maxwell's equations
    • T. Rylander, A. Bondeson, Stability of explicit-implicit hybrid time-stepping schemes for Maxwell's equations, J. Comput. Phys. 179 (2) (2002) 426-438.
    • (2002) J. Comput. Phys. , vol.179 , Issue.2 , pp. 426-438
    • Rylander, T.1    Bondeson, A.2
  • 27
    • 84894021661 scopus 로고
    • Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media
    • K. Yee, Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media, IEEE Trans. Antenn. Propag. 14 (3) (1966) 302-307.
    • (1966) IEEE Trans. Antenn. Propag. , vol.14 , Issue.3 , pp. 302-307
    • Yee, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.