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Volumn 44, Issue 2, 2010, Pages 136-155

On the quadrature and weak form choices in collocation type discontinuous galerkin spectral element methods

Author keywords

Collocation; Discontinuous Galerkin; Spectral element

Indexed keywords

COLLOCATION; CONSERVATION LAW; DISCONTINUOUS GALERKIN; DISCONTINUOUS GALERKIN METHODS; GAUSS QUADRATURES; GAUSS-LOBATTO QUADRATURE; HEXAHEDRAL MESH; INTEGRATION BY PARTS; NUMERICAL EXPERIMENTS; POLYNOMIAL INTERPOLATION; SPECTRAL ELEMENT; TENSOR PRODUCTS; WEAK FORM;

EID: 78651357257     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-010-9372-3     Document Type: Article
Times cited : (164)

References (27)
  • 1
    • 0033481181 scopus 로고    scopus 로고
    • A conservative spectral element method for the approximation of compressible fluid flow
    • Black, K.: A conservative spectral element method for the approximation of compressible fluid flow. Kybernetika 35(1), 133-146 (1999)
    • (1999) Kybernetika , vol.35 , Issue.1 , pp. 133-146
    • Black, K.1
  • 2
    • 0034190354 scopus 로고    scopus 로고
    • Spectral element approximation of convection-diffusion type problems
    • Black, K.: Spectral element approximation of convection-diffusion type problems. Appl. Numer. Math. 33(1-4), 373-379 (2000)
    • (2000) Appl. Numer. Math. , vol.33 , Issue.1-4 , pp. 373-379
    • Black, K.1
  • 5
    • 67650473664 scopus 로고    scopus 로고
    • Application of discontinuous Galerkin spectral method on hexahedral elements for aeroacoustic
    • Castel, N., Cohen, G., Durufle,M.: Application of discontinuous Galerkin spectral method on hexahedral elements for aeroacoustic. J. Comput. Acoust. 17(2), 175-196 (2009)
    • (2009) J. Comput. Acoust. , vol.17 , Issue.2 , pp. 175-196
    • Castel, N.1    Cohen, G.2    Durufle, M.3
  • 7
    • 34147133468 scopus 로고    scopus 로고
    • Numerical simulation of optical coupling and light propagation in coupled optical resonators with size disorder
    • Deng, S.: Numerical simulation of optical coupling and light propagation in coupled optical resonators with size disorder. Appl. Numer. Math. 57(5-7), 475-485 (2007)
    • (2007) Appl. Numer. Math. , vol.57 , Issue.5-7 , pp. 475-485
    • Deng, S.1
  • 8
    • 11244287365 scopus 로고    scopus 로고
    • Numerical study of light propagation via whispering gallery modes in microcylinder coupled resonator optical waveguides
    • Deng, S.Z., Cai, W., Astratov, V.N.: Numerical study of light propagation via whispering gallery modes in microcylinder coupled resonator optical waveguides. Opt. Express 12(26), 6468-6480 (2004)
    • (2004) Opt. Express , vol.12 , Issue.26 , pp. 6468-6480
    • Deng, S.Z.1    Cai, W.2    Astratov, V.N.3
  • 9
    • 1342331096 scopus 로고    scopus 로고
    • Application of the discontinuous spectral Galerkin method to groundwater flow
    • Fagherazzi, S., Furbish, D.J., Rasetarinera, P., Hussaini, M.Y.: Application of the discontinuous spectral Galerkin method to groundwater flow. Adv. Water Resour. 27, 129-140 (2004)
    • (2004) Adv. Water Resour. , vol.27 , pp. 129-140
    • Fagherazzi, S.1    Furbish, D.J.2    Rasetarinera, P.3    Hussaini, M.Y.4
  • 10
    • 2942520950 scopus 로고    scopus 로고
    • Numerical solution of the dam-break problem with a discontinuous Galerkin method
    • Fagherazzi, S., Rasetarinera, P., Hussaini, M.Y., Furbish, D.J.: Numerical solution of the dam-break problem with a discontinuous Galerkin method. J. Hydraul. Eng. 130(6), 532-539 (2004)
    • (2004) J. Hydraul. Eng. , vol.130 , Issue.6 , pp. 532-539
    • Fagherazzi, S.1    Rasetarinera, P.2    Hussaini, M.Y.3    Furbish, D.J.4
  • 11
    • 0037144878 scopus 로고    scopus 로고
    • Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations
    • Giraldo, F.X., Hesthaven, J.S., Warburton, T.: Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations. J. Comput. Phys. 181(2), 499-525 (2002)
    • (2002) J. Comput. Phys. , vol.181 , Issue.2 , pp. 499-525
    • Giraldo, F.X.1    Hesthaven, J.S.2    Warburton, T.3
  • 12
    • 40249104589 scopus 로고    scopus 로고
    • A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases
    • Giraldo, F.X., Restelli, M.: A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: Equation sets and test cases. J. Comput. Phys. 227, 3849-3877 (2008)
    • (2008) J. Comput. Phys. , vol.227 , pp. 3849-3877
    • Giraldo, F.X.1    Restelli, M.2
  • 13
    • 84985315986 scopus 로고
    • Construction of curvilinear co-ordinate systems and their applications to mesh generation
    • Gordon,W.J., Hall, C.A.: Construction of curvilinear co-ordinate systems and their applications to mesh generation. Int. J. Numer. Methods Eng. Eng. 7, 461-477 (1973)
    • (1973) Int. J. Numer. Methods Eng. Eng. , vol.7 , pp. 461-477
    • Gordon, W.J.1    Hall, C.A.2
  • 15
    • 0141794017 scopus 로고    scopus 로고
    • De-aliasing on non-uniform grids: Algorithms and applications
    • Kirby, R.M., Karniadakis, G.E.: De-aliasing on non-uniform grids: Algorithms and applications. J. Comput. Phys. 191, 249-264 (2003)
    • (2003) J. Comput. Phys. , vol.191 , pp. 249-264
    • Kirby, R.M.1    Karniadakis, G.E.2
  • 16
    • 33646416509 scopus 로고    scopus 로고
    • Metric identities and the discontinuous spectral element method on curvilinear meshes
    • Kopriva, D.A.: Metric identities and the discontinuous spectral element method on curvilinear meshes. J. Sci. Comput. 26(3), 301-327 (2006)
    • (2006) J. Sci. Comput. , vol.26 , Issue.3 , pp. 301-327
    • Kopriva, D.A.1
  • 18
    • 0037049933 scopus 로고    scopus 로고
    • Computation of electromagnetic scattering with a nonconforming discontinuous spectral element method
    • Kopriva, D.A., Woodruff, S.L., Hussaini, M.Y.: Computation of electromagnetic scattering with a nonconforming discontinuous spectral element method. Int. J. Numer. Methods Eng. 53, 105-122 (2002)
    • (2002) Int. J. Numer. Methods Eng. , vol.53 , pp. 105-122
    • Kopriva, D.A.1    Woodruff, S.L.2    Hussaini, M.Y.3
  • 19
    • 77951154276 scopus 로고    scopus 로고
    • Implementing Spectral methods for partial differential equations
    • Springer, Berlin
    • Kopriva, D.A.: Implementing Spectral Methods for Partial Differential Equations. Scientific Computation. Springer, Berlin (2009)
    • (2009) Scientific Computation.
    • Kopriva, D.A.1
  • 20
    • 0000724692 scopus 로고    scopus 로고
    • A discontinuous Galerkin ALE method for compressible viscous flows in moving domains
    • Lomtev, I., M Kirby, R., Karniadakis, G.E.: A discontinuous Galerkin ALE method for compressible viscous flows in moving domains. J. Comput. Phys. 155, 128-159 (1999)
    • (1999) J. Comput. Phys. , vol.155 , pp. 128-159
    • Lomtev, I.1    M Kirby, R.2    Karniadakis, G.E.3
  • 21
    • 0035922223 scopus 로고    scopus 로고
    • An efficient implicit discontinuous spectral Galerkin method
    • Rasetarinera, P., Hussaini, M.Y.: An efficient implicit discontinuous spectral Galerkin method. J. Comput. Phys. 172, 718-738 (2001)
    • (2001) J. Comput. Phys. , vol.172 , pp. 718-738
    • Rasetarinera, P.1    Hussaini, M.Y.2
  • 22
    • 0035506375 scopus 로고    scopus 로고
    • Discontinuous spectral element solution of acoustic radiation from thin airfoils
    • Rasetarinera, P., Kopriva, D.A., Hussaini, M.Y.: Discontinuous spectral element solution of acoustic radiation from thin airfoils. AIAA J. 39(11), 2070-2075 (2001)
    • (2001) AIAA J. , vol.39 , Issue.11 , pp. 2070-2075
    • Rasetarinera, P.1    Kopriva, D.A.2    Hussaini, M.Y.3
  • 23
    • 77954393950 scopus 로고    scopus 로고
    • A conservative discontinuous Galerkin semi-implicit formulation for the Navier-Stokes equations in nonhydrostatic mesoscale modeling
    • Restelli, M., Giraldo, F.X.: A conservative discontinuous Galerkin semi-implicit formulation for the Navier-Stokes equations in nonhydrostatic mesoscale modeling. SIAM J. Sci. Comput. 31(3), 2231-2257 (2009)
    • (2009) SIAM J. Sci. Comput. , vol.31 , Issue.3 , pp. 2231-2257
    • Restelli, M.1    Giraldo, F.X.2
  • 24
    • 0031206524 scopus 로고    scopus 로고
    • Approximate Riemann solvers, parameter vectors, and difference schemes
    • Roe, P.L.: Approximate Riemann solvers, parameter vectors, and difference schemes. J. Comput. Phys. 135(2), 250-258 (1997)
    • (1997) J. Comput. Phys. , vol.135 , Issue.2 , pp. 250-258
    • Roe, P.L.1
  • 26
    • 0038284144 scopus 로고    scopus 로고
    • Aircraft engine noise scattering by fuselage and wings: A computational approach
    • Stanescu, D., Hussaini, M.Y., Farassat, F.: Aircraft engine noise scattering by fuselage and wings: A computational approach. J. Sound Vib. 263(2), 319-333 (2003)
    • (2003) J. Sound Vib. , vol.263 , Issue.2 , pp. 319-333
    • Stanescu, D.1    Hussaini, M.Y.2    Farassat, F.3
  • 27
    • 2942701225 scopus 로고    scopus 로고
    • Computation of engine noise propagation and scattering off an aircraft
    • Stanescu, D., Xu, J., Farassat, F., Hussaini, M.Y.: Computation of engine noise propagation and scattering off an aircraft. Aeroacoustics 1(4), 403-420 (2002)
    • (2002) Aeroacoustics , vol.1 , Issue.4 , pp. 403-420
    • Stanescu, D.1    Xu, J.2    Farassat, F.3    Hussaini, M.Y.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.