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Volumn 229, Issue 13, 2010, Pages 5144-5160

A non-uniform basis order for the discontinuous Galerkin method of the 3D dissipative wave equation with perfectly matched layer

Author keywords

Discontinuous Galerkin; Non uniform basis order; Perfectly matched layer; Wave propagation

Indexed keywords

FINITE ELEMENT METHOD; GALERKIN METHODS; NUMERICAL METHODS; WAVE EQUATIONS;

EID: 77952419622     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2010.03.030     Document Type: Article
Times cited : (22)

References (41)
  • 3
    • 85190083428 scopus 로고
    • Triangular Mesh Methods for the Neutron Transport Equation, Technical Report LA-UR-73-479, Los Alamos National Laboratory, Los Alamos, New Mexico, USA
    • W. Reed, T. Hill, Triangular Mesh Methods for the Neutron Transport Equation, Technical Report LA-UR-73-479, Los Alamos National Laboratory, Los Alamos, New Mexico, USA, 1973.
    • (1973)
    • Reed, W.1    Hill, T.2
  • 4
    • 21244444603 scopus 로고    scopus 로고
    • A discontinuous Galerkin method for the full two-fluid plasma model
    • Loverich J., Shumlak U. A discontinuous Galerkin method for the full two-fluid plasma model. Computer Physics Communications 2005, 169(1-3):251-255.
    • (2005) Computer Physics Communications , vol.169 , Issue.1-3 , pp. 251-255
    • Loverich, J.1    Shumlak, U.2
  • 6
    • 33745049712 scopus 로고    scopus 로고
    • Discontinuous finite element methods for acoustic and elastic wave problems
    • Riviére B., Wheeler M. Discontinuous finite element methods for acoustic and elastic wave problems. Contemporary Mathematics 2003.
    • (2003) Contemporary Mathematics
    • Riviére, B.1    Wheeler, M.2
  • 7
    • 0036740992 scopus 로고    scopus 로고
    • Nodal high-order methods on unstructured grids I. Time-domain solution of Maxwell's equations
    • Hesthaven J.S., Warburton T. Nodal high-order methods on unstructured grids I. Time-domain solution of Maxwell's equations. Journal of Computational Physics 2002, 181(1):186-221.
    • (2002) Journal of Computational Physics , vol.181 , Issue.1 , pp. 186-221
    • Hesthaven, J.S.1    Warburton, T.2
  • 9
    • 17444409296 scopus 로고    scopus 로고
    • A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media
    • Monk P., Richter G.R. A discontinuous Galerkin method for linear symmetric hyperbolic systems in inhomogeneous media. Journal of Scientific Computing 2005, 22-23(1):443-477.
    • (2005) Journal of Scientific Computing , Issue.1 , pp. 443-477
    • Monk, P.1    Richter, G.R.2
  • 10
    • 33748424594 scopus 로고    scopus 로고
    • Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations
    • Klaij C.M., van der Vegt J.J.W., van der Ven H. Space-time discontinuous Galerkin method for the compressible Navier-Stokes equations. Journal of Computational Physics 2006, 217(2):589-611.
    • (2006) Journal of Computational Physics , vol.217 , Issue.2 , pp. 589-611
    • Klaij, C.M.1    van der Vegt, J.J.W.2    van der Ven, H.3
  • 11
    • 0039756618 scopus 로고    scopus 로고
    • A space-time finite element method for the nonlinear Schrödinger equation: the discontinuous Galerkin method
    • Karakashian O., Makridakis C. A space-time finite element method for the nonlinear Schrödinger equation: the discontinuous Galerkin method. Mathematics of Computation 1998, 67(222):479-499.
    • (1998) Mathematics of Computation , vol.67 , Issue.222 , pp. 479-499
    • Karakashian, O.1    Makridakis, C.2
  • 12
    • 33746173683 scopus 로고    scopus 로고
    • An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes I: the two-dimensional isotropic case with external source terms
    • Käser M., Dumbser M. An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes I: the two-dimensional isotropic case with external source terms. Geophysical Journal International 2006, 166(23):855-877.
    • (2006) Geophysical Journal International , vol.166 , Issue.23 , pp. 855-877
    • Käser, M.1    Dumbser, M.2
  • 13
    • 35348816751 scopus 로고    scopus 로고
    • An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes V: local time stepping and p-adaptivity
    • Dumbser M., Käser M., Toro E.F. An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes V: local time stepping and p-adaptivity. Geophysical Journal International 2007, 171(2):695-717.
    • (2007) Geophysical Journal International , vol.171 , Issue.2 , pp. 695-717
    • Dumbser, M.1    Käser, M.2    Toro, E.F.3
  • 14
    • 33749330771 scopus 로고    scopus 로고
    • An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes II: the three-dimensional study
    • Dumbser M., Käser M., Toro E.F. An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes II: the three-dimensional study. Geophysical Journal International 2000, 167(1):319-336.
    • (2000) Geophysical Journal International , vol.167 , Issue.1 , pp. 319-336
    • Dumbser, M.1    Käser, M.2    Toro, E.F.3
  • 17
    • 85190084403 scopus 로고    scopus 로고
    • A non-uniform basis order for the discontinuous Galerkin method of the acoustic and elastic wave equations, Applied Numerical Mathematics, submitted for publication.
    • T. Lähivaara, T. Huttunen, A non-uniform basis order for the discontinuous Galerkin method of the acoustic and elastic wave equations, Applied Numerical Mathematics, submitted for publication.
    • Lähivaara, T.1    Huttunen, T.2
  • 19
    • 0000458188 scopus 로고    scopus 로고
    • An analysis of the discontinuous Galerkin method for wave propagation problems
    • Hu F.Q., Hussaini M.Y., Rasetarinera R. An analysis of the discontinuous Galerkin method for wave propagation problems. Journal of Computational Physics 1999, 151(2):921-946.
    • (1999) Journal of Computational Physics , vol.151 , Issue.2 , pp. 921-946
    • Hu, F.Q.1    Hussaini, M.Y.2    Rasetarinera, R.3
  • 20
    • 0026371189 scopus 로고
    • Spectral methods on triangles and other domains
    • Dubiner M. Spectral methods on triangles and other domains. Journal of Scientific Computing 1991, 6(4):345-390.
    • (1991) Journal of Scientific Computing , vol.6 , Issue.4 , pp. 345-390
    • Dubiner, M.1
  • 21
    • 3042815770 scopus 로고    scopus 로고
    • Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods
    • Ainsworth M. Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods. Journal of Computational Physics 2004, 198(1):106-130.
    • (2004) Journal of Computational Physics , vol.198 , Issue.1 , pp. 106-130
    • Ainsworth, M.1
  • 22
    • 33745044014 scopus 로고    scopus 로고
    • Dispersive and dissipative properties of the discontinuous Galerkin finite element methods for second-order wave equation
    • Ainsworth M., Monk P., Muniz W. Dispersive and dissipative properties of the discontinuous Galerkin finite element methods for second-order wave equation. Journal of Scientific Computing 2006, 27(1-3):5-40.
    • (2006) Journal of Scientific Computing , vol.27 , Issue.1-3 , pp. 5-40
    • Ainsworth, M.1    Monk, P.2    Muniz, W.3
  • 24
    • 85190075075 scopus 로고
    • Fourth-order 2N-storage Runge-Kutta Schemes, NASA-TM-109112
    • M.H. Carpenter, C.A. Kennedy, Fourth-order 2N-storage Runge-Kutta Schemes, NASA-TM-109112, 1994.
    • (1994)
    • Carpenter, M.H.1    Kennedy, C.A.2
  • 25
    • 28044459877 scopus 로고
    • A perfectly matched layer for the absorption of electromagnetic waves
    • Bérenger J.-P. A perfectly matched layer for the absorption of electromagnetic waves. Journal of Computational Physics 1994, 114(2):185-200.
    • (1994) Journal of Computational Physics , vol.114 , Issue.2 , pp. 185-200
    • Bérenger, J.-P.1
  • 26
    • 0035505553 scopus 로고    scopus 로고
    • A stable, perfectly matched layer for linearized Euler equations in unsplit physical variables
    • Hu F.Q. A stable, perfectly matched layer for linearized Euler equations in unsplit physical variables. Journal of Computational Physics 2001, 173(2):455-480.
    • (2001) Journal of Computational Physics , vol.173 , Issue.2 , pp. 455-480
    • Hu, F.Q.1
  • 31
    • 0000797694 scopus 로고    scopus 로고
    • High-order non-reflecting boundary conditions without high-order derivatives
    • Givoli D. High-order non-reflecting boundary conditions without high-order derivatives. Journal of Computational Physics 2001, 170(2):849-870.
    • (2001) Journal of Computational Physics , vol.170 , Issue.2 , pp. 849-870
    • Givoli, D.1
  • 32
    • 0037456944 scopus 로고    scopus 로고
    • High-order non-reflecting boundary scheme for time-dependent waves
    • Givoli D., Neta B. High-order non-reflecting boundary scheme for time-dependent waves. Journal of Computational Physics 2003, 186(1):24-46.
    • (2003) Journal of Computational Physics , vol.186 , Issue.1 , pp. 24-46
    • Givoli, D.1    Neta, B.2
  • 33
    • 84966208271 scopus 로고
    • Absorbing boundary conditions for the numerical simulation of waves
    • Engquist B., Majda A. Absorbing boundary conditions for the numerical simulation of waves. Mathematics of Computation 1977, 31(1):629-651.
    • (1977) Mathematics of Computation , vol.31 , Issue.1 , pp. 629-651
    • Engquist, B.1    Majda, A.2
  • 34
    • 0028976328 scopus 로고
    • Causal theories and data for acoustic attenuation obeying a frequency power law
    • Szabo T. Causal theories and data for acoustic attenuation obeying a frequency power law. The Journal of the Acoustical Society of America 1995, 97(1):14-24.
    • (1995) The Journal of the Acoustical Society of America , vol.97 , Issue.1 , pp. 14-24
    • Szabo, T.1
  • 35
    • 0028292355 scopus 로고
    • Time domain wave equations for lossy media obeying a frequency power law
    • Szabo T. Time domain wave equations for lossy media obeying a frequency power law. The Journal of the Acoustical Society of America 1994, 96(1):491-500.
    • (1994) The Journal of the Acoustical Society of America , vol.96 , Issue.1 , pp. 491-500
    • Szabo, T.1
  • 40
    • 0032131147 scopus 로고    scopus 로고
    • A fast and high quality multilevel scheme for partitioning irregular graphs
    • Karypis G., Kumar V. A fast and high quality multilevel scheme for partitioning irregular graphs. SIAM Journal on Scientific Computing 1998, 20(1):359-392.
    • (1998) SIAM Journal on Scientific Computing , vol.20 , Issue.1 , pp. 359-392
    • Karypis, G.1    Kumar, V.2
  • 41
    • 0028498156 scopus 로고
    • A 3D perfectly matched medium from modified Maxwell's equations with stretched coordinates
    • Chew W.C., Weedon W.H. A 3D perfectly matched medium from modified Maxwell's equations with stretched coordinates. Microwave and Optical Technology Letters 1994, 7(13):599-604.
    • (1994) Microwave and Optical Technology Letters , vol.7 , Issue.13 , pp. 599-604
    • Chew, W.C.1    Weedon, W.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.