메뉴 건너뛰기




Volumn 202, Issue 2, 2005, Pages 533-576

Pseudospectral solution of linear evolution equations of second order in space and time on unstructured quadrilateral subdomain topologies

Author keywords

Domain decomposition; Pseudospectral method; Second order hyperbolic equations; Unstructured topology

Indexed keywords

APPROXIMATION ALGORITHMS; BOUNDARY CONDITIONS; DOMAIN DECOMPOSITION METHODS; INITIAL VALUE PROBLEMS; MATHEMATICAL OPERATORS; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 10244249126     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2004.07.014     Document Type: Article
Times cited : (2)

References (44)
  • 4
    • 0025446741 scopus 로고
    • A variational formulation for the Chebyshev pseudospectral approximation of Neumann problems
    • D. Funaro A variational formulation for the Chebyshev pseudospectral approximation of Neumann problems SIAM J. Numer. Anal. 27 1990 695
    • (1990) SIAM J. Numer. Anal. , vol.27 , pp. 695
    • Funaro, D.1
  • 5
    • 0010412107 scopus 로고
    • Effective numerical algorithms for the solution of algebraic systems arising in spectral methods
    • C. Carlenzoli P. Gervasio Effective numerical algorithms for the solution of algebraic systems arising in spectral methods Appl. Numer. Math. 10 1992 87
    • (1992) Appl. Numer. Math. , vol.10 , pp. 87
    • Carlenzoli, C.1    Gervasio, P.2
  • 7
    • 0030186069 scopus 로고    scopus 로고
    • Spectral-domain decomposition methods for the solution of acoustic and elastic wave equations
    • E. Faccioli F. Maggio A. Quarteroni A. Tagliani Spectral-domain decomposition methods for the solution of acoustic and elastic wave equations Geophysics 61 1996 1160
    • (1996) Geophysics , vol.61 , pp. 1160
    • Faccioli, E.1    Maggio, F.2    Quarteroni, A.3    Tagliani, A.4
  • 8
    • 0000670532 scopus 로고    scopus 로고
    • 2D and 3D elastic wave propagation by a pseudo-spectral domain decomposition method
    • E. Faccioli F. Maggio R. Paolucci A. Quarteroni 2D and 3D elastic wave propagation by a pseudo-spectral domain decomposition method J. Seism. 1 1997 237
    • (1997) J. Seism. , vol.1 , pp. 237
    • Faccioli, E.1    Maggio, F.2    Paolucci, R.3    Quarteroni, A.4
  • 9
    • 0242595883 scopus 로고    scopus 로고
    • A weak Legendre collocation spectral method for the solution of the incompressible Navier-Stokes equations in unstructured quadrilateral subdomains
    • D. Kondaxakis S. Tsangaris A weak Legendre collocation spectral method for the solution of the incompressible Navier-Stokes equations in unstructured quadrilateral subdomains J. Comput. Phys. 192 2003 124
    • (2003) J. Comput. Phys. , vol.192 , pp. 124
    • Kondaxakis, D.1    Tsangaris, S.2
  • 11
    • 0033516456 scopus 로고    scopus 로고
    • Compatibillity conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods
    • J.P. Boyd N. Flyer Compatibillity conditions for time-dependent partial differential equations and the rate of convergence of Chebyshev and Fourier spectral methods Comput. Meth. Appl. Mech. Eng. 175 1999 281
    • (1999) Comput. Meth. Appl. Mech. Eng. , vol.175 , pp. 281
    • Boyd, J.P.1    Flyer, N.2
  • 12
    • 0031141176 scopus 로고    scopus 로고
    • Numerical approximation of elastic waves equations by implicit spectral methods
    • E. Zampieri A. Tagliani Numerical approximation of elastic waves equations by implicit spectral methods Comput. Meth. Appl. Mech. Eng. 144 1997 33
    • (1997) Comput. Meth. Appl. Mech. Eng. , vol.144 , pp. 33
    • Zampieri, E.1    Tagliani, A.2
  • 13
    • 0032154224 scopus 로고    scopus 로고
    • Generalized Galerkin approximations of elastic waves with absorbing boundary conditions
    • A. Quarteroni A. Tagliani E. Zampieri Generalized Galerkin approximations of elastic waves with absorbing boundary conditions Comput. Meth. Appl. Mech. Eng. 163 1998 323
    • (1998) Comput. Meth. Appl. Mech. Eng. , vol.163 , pp. 323
    • Quarteroni, A.1    Tagliani, A.2    Zampieri, E.3
  • 14
    • 0030118562 scopus 로고    scopus 로고
    • A conservative staggered-grid Chebyshev multidomain method for compressible flows
    • D.A. Kopriva J.H. Kolias A conservative staggered-grid Chebyshev multidomain method for compressible flows J. Comput. Phys. 125 1996 244
    • (1996) J. Comput. Phys. , vol.125 , pp. 244
    • Kopriva, D.A.1    Kolias, J.H.2
  • 15
    • 0000039721 scopus 로고    scopus 로고
    • Finite-element solution of nonlinear time-dependent exterior wave problems
    • D. Givoli I. Patlashenko Finite-element solution of nonlinear time-dependent exterior wave problems J. Comput. Phys. 143 1998 241
    • (1998) J. Comput. Phys. , vol.143 , pp. 241
    • Givoli, D.1    Patlashenko, I.2
  • 16
    • 0003972918 scopus 로고
    • Introduction à l'analyse numérique des équations aux dérivées partielles
    • Paris: Masson
    • P.A. Raviart J.M. Thomas Introduction à l'analyse numérique des équations aux dérivées partielles 1983 Masson Paris
    • (1983)
    • Raviart, P.A.1    Thomas, J.M.2
  • 17
    • 0031215972 scopus 로고    scopus 로고
    • The correct formulation of intermediate boundary conditions for Runge-Kutta time integration of initial boundary value problems
    • D. Pathria The correct formulation of intermediate boundary conditions for Runge-Kutta time integration of initial boundary value problems SIAM J. Sci. Comput. 18 1997 1255
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 1255
    • Pathria, D.1
  • 18
    • 0036792332 scopus 로고    scopus 로고
    • Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems
    • M.P. Calvo C. Palencia Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems Math. Comp. 71 2001 1529
    • (2001) Math. Comp. , vol.71 , pp. 1529
    • Calvo, M.P.1    Palencia, C.2
  • 20
    • 0035337297 scopus 로고    scopus 로고
    • A three-dimensional pseudospectral method for rotating flows in a cylinder
    • E. Serre J.P. Pulicani A three-dimensional pseudospectral method for rotating flows in a cylinder Comput. Fluids 30 2001 491
    • (2001) Comput. Fluids , vol.30 , pp. 491
    • Serre, E.1    Pulicani, J.P.2
  • 21
    • 0011422316 scopus 로고
    • Pole condition for singular problems: The pseudospectral approximation
    • W. Huang D.M. Sloan Pole condition for singular problems: The pseudospectral approximation J. Comput. Phys. 107 1993 254
    • (1993) J. Comput. Phys. , vol.107 , pp. 254
    • Huang, W.1    Sloan, D.M.2
  • 22
    • 0030079326 scopus 로고    scopus 로고
    • A finite-difference scheme for three-dimensional incompressible flows in cylindrical coordinates
    • R. Verzicco P. Orlandi A finite-difference scheme for three-dimensional incompressible flows in cylindrical coordinates J. Comput. Phys. 123 1996 402
    • (1996) J. Comput. Phys. , vol.123 , pp. 402
    • Verzicco, R.1    Orlandi, P.2
  • 23
    • 0000218893 scopus 로고    scopus 로고
    • Numerical treatment of polar coordinate singularities
    • K. Mohseni T. Colonius Numerical treatment of polar coordinate singularities J. Comput Phys. 157 2000 787
    • (2000) J. Comput Phys. , vol.157 , pp. 787
    • Mohseni, K.1    Colonius, T.2
  • 24
    • 0037146418 scopus 로고    scopus 로고
    • A highly accurate technique for the treatment of flow equations at the polar axis in cylindrical coordinates using series expansions
    • G.S. Constantinescu S.K. Lele A highly accurate technique for the treatment of flow equations at the polar axis in cylindrical coordinates using series expansions J. Comput. Phys. 183 2002 165
    • (2002) J. Comput. Phys. , vol.183 , pp. 165
    • Constantinescu, G.S.1    Lele, S.K.2
  • 25
    • 0035842845 scopus 로고    scopus 로고
    • Global discrete artificial boundary conditions for time-dependent wave propagation
    • V.S. Ryaben'kii S.V. Tsynkov V.I. Turchaninov Global discrete artificial boundary conditions for time-dependent wave propagation J. Comput. Phys. 174 2001 712
    • (2001) J. Comput. Phys. , vol.174 , pp. 712
    • Ryaben'kii, V.S.1    Tsynkov, S.V.2    Turchaninov, V.I.3
  • 26
    • 0344006664 scopus 로고    scopus 로고
    • Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics
    • F.Q. Hu M.Y. Hussaini J.L. Manthey Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics J. Comput. Phys. 124 1996 177
    • (1996) J. Comput. Phys. , vol.124 , pp. 177
    • Hu, F.Q.1    Hussaini, M.Y.2    Manthey, J.L.3
  • 27
    • 0034316651 scopus 로고    scopus 로고
    • Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations
    • C.A. Kennedy M.H. Carpenter R.M. Lewis Low-storage, explicit Runge-Kutta schemes for the compressible Navier-Stokes equations Appl. Numer. Math. 35 2000 177
    • (2000) Appl. Numer. Math. , vol.35 , pp. 177
    • Kennedy, C.A.1    Carpenter, M.H.2    Lewis, R.M.3
  • 28
    • 0030584598 scopus 로고    scopus 로고
    • A pseudospectral Chebyshev method for the 2D wave equation with domain stretching and absorbing boundary conditions
    • R. Renaut J. Fröhlich A pseudospectral Chebyshev method for the 2D wave equation with domain stretching and absorbing boundary conditions J. Comput. Phys. 124 1996 324
    • (1996) J. Comput. Phys. , vol.124 , pp. 324
    • Renaut, R.1    Fröhlich, J.2
  • 29
    • 84966208271 scopus 로고
    • Absorbing boundary conditions for the numerical simulation of waves
    • B. Engquist A. Majda Absorbing boundary conditions for the numerical simulation of waves Math. Comp. 31 1977 629
    • (1977) Math. Comp. , vol.31 , pp. 629
    • Engquist, B.1    Majda, A.2
  • 30
    • 84980151986 scopus 로고
    • Radiation boundary conditions for acoustic and elastic wave calculations
    • B. Engquist A. Majda Radiation boundary conditions for acoustic and elastic wave calculations Commun. Pure Appl. Math. 32 1979 313
    • (1979) Commun. Pure Appl. Math. , vol.32 , pp. 313
    • Engquist, B.1    Majda, A.2
  • 31
    • 84980167404 scopus 로고
    • Radiation boundary conditions for wave-like equations
    • A. Bayliss E. Turkel Radiation boundary conditions for wave-like equations Commun. Pure Appl. Math. 33 1980 707
    • (1980) Commun. Pure Appl. Math. , vol.33 , pp. 707
    • Bayliss, A.1    Turkel, E.2
  • 32
    • 0001374907 scopus 로고    scopus 로고
    • Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape
    • X. Antoine H. Barucq Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape J. Math. Anal. Appl. 229 1999 184
    • (1999) J. Math. Anal. Appl. , vol.229 , pp. 184
    • Antoine, X.1    Barucq, H.2
  • 33
    • 1642325209 scopus 로고    scopus 로고
    • High-order local non-reflecting boundary conditions: A review
    • D. Givoli High-order local non-reflecting boundary conditions: A review Wave Motion 39 2004 319
    • (2004) Wave Motion , vol.39 , pp. 319
    • Givoli, D.1
  • 34
    • 0342778181 scopus 로고
    • Absorbing boundaries for wave propagation problems
    • R. Kosloff D. Kosloff Absorbing boundaries for wave propagation problems J. Comput. Phys. 63 1986 363
    • (1986) J. Comput. Phys. , vol.63 , pp. 363
    • Kosloff, R.1    Kosloff, D.2
  • 35
    • 0000145357 scopus 로고
    • Approximation of radiation boundary conditions
    • M. Israeli S.A. Orszag Approximation of radiation boundary conditions J. Comput. Phys. 41 1981 115
    • (1981) J. Comput. Phys. , vol.41 , pp. 115
    • Israeli, M.1    Orszag, S.A.2
  • 36
    • 0031537299 scopus 로고    scopus 로고
    • High-order accurate discontinuous finite element solution of the 2D Euler equations
    • F. Bassi S. Rebay High-order accurate discontinuous finite element solution of the 2D Euler equations J. Comput. Phys. 138 1997 251
    • (1997) J. Comput. Phys. , vol.138 , pp. 251
    • Bassi, F.1    Rebay, S.2
  • 37
    • 0001690553 scopus 로고    scopus 로고
    • The Runge-Kutta discontinuous Galerkin method for conservation laws V
    • B. Cockburn C.-W. Shu The Runge-Kutta discontinuous Galerkin method for conservation laws V J. Comput. Phys. 141 1998 99
    • (1998) J. Comput. Phys. , vol.141 , pp. 99
    • Cockburn, B.1    Shu, C.-W.2
  • 39
    • 0037049933 scopus 로고    scopus 로고
    • Computation of electromagnetic scattering with a non-conforming discontinuous spectral element method
    • D.A. Kopriva S.L. Woodruff M.Y. Hussaini Computation of electromagnetic scattering with a non-conforming discontinuous spectral element method Int. J. Num. Meth. Eng. 53 2002 105
    • (2002) Int. J. Num. Meth. Eng. , vol.53 , pp. 105
    • Kopriva, D.A.1    Woodruff, S.L.2    Hussaini, M.Y.3
  • 40
    • 0347900510 scopus 로고    scopus 로고
    • A discontinuous spectral element method for the level set equation
    • M. Sussman M.Y. Hussaini A discontinuous spectral element method for the level set equation J. Sci. Comp. 19 2003 479
    • (2003) J. Sci. Comp. , vol.19 , pp. 479
    • Sussman, M.1    Hussaini, M.Y.2
  • 41
    • 0000458188 scopus 로고    scopus 로고
    • An analysis of the discontinuous Galerkin method for wave propagation problems
    • F.Q. Hu M.Y. Hussaini P. Rasetarinera An analysis of the discontinuous Galerkin method for wave propagation problems J. Comput. Phys. 151 1999 921
    • (1999) J. Comput. Phys. , vol.151 , pp. 921
    • Hu, F.Q.1    Hussaini, M.Y.2    Rasetarinera, P.3
  • 42
    • 0034197012 scopus 로고    scopus 로고
    • Dispersion analysis for discontinuous spectral element methods
    • D. Stanescu D.A. Kopriva M.Y. Hussaini Dispersion analysis for discontinuous spectral element methods J. Sci. Comp. 15 2000 149
    • (2000) J. Sci. Comp. , vol.15 , pp. 149
    • Stanescu, D.1    Kopriva, D.A.2    Hussaini, M.Y.3
  • 43
    • 0038284144 scopus 로고    scopus 로고
    • Aircraft engine noise scattering by fuselage and wings: A computational approach
    • D. Stanescu M.Y. Hussaini F. Farassat Aircraft engine noise scattering by fuselage and wings: A computational approach J. Sound Vib. 263 2003 319
    • (2003) J. Sound Vib. , vol.263 , pp. 319
    • Stanescu, D.1    Hussaini, M.Y.2    Farassat, F.3
  • 44
    • 2942757053 scopus 로고
    • Approximate Riemann Solvers, parameter vectors, and difference schemes
    • P.L. Roe Approximate Riemann Solvers, parameter vectors, and difference schemes J. Comput. Phys. 43 1981 357
    • (1981) J. Comput. Phys. , vol.43 , pp. 357
    • Roe, P.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.