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Volumn 204, Issue 2 SPEC. ISS., 2007, Pages 344-355

Controllability method for acoustic scattering with spectral elements

Author keywords

Exact controllability; Helmholtz equation; Mass lumping; Spectral element method

Indexed keywords

FINITE DIFFERENCE METHOD; HELMHOLTZ EQUATION; INTEGRATION; MATRIX ALGEBRA; POLYNOMIALS; PROBLEM SOLVING; TIME DOMAIN ANALYSIS;

EID: 34247242148     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2006.02.046     Document Type: Article
Times cited : (17)

References (15)
  • 1
    • 0039243984 scopus 로고    scopus 로고
    • Controllability methods for the computation of time-periodic solutions: application to scattering
    • Bristeau M.O., Glowinski R., and Périaux J. Controllability methods for the computation of time-periodic solutions: application to scattering. J. Comput. Phys. 147 2 (1998) 265-292
    • (1998) J. Comput. Phys. , vol.147 , Issue.2 , pp. 265-292
    • Bristeau, M.O.1    Glowinski, R.2    Périaux, J.3
  • 3
    • 84980151986 scopus 로고
    • Radiation boundary conditions for acoustic and elastic wave calculations
    • Engquist B., and Majda A. Radiation boundary conditions for acoustic and elastic wave calculations. Commun. Pure Appl. Math. 32 (1979) 313-357
    • (1979) Commun. Pure Appl. Math. , vol.32 , pp. 313-357
    • Engquist, B.1    Majda, A.2
  • 4
    • 33746033769 scopus 로고    scopus 로고
    • A novel multigrid based preconditioner for heterogeneous Helmholtz problems
    • Erlangga Y.A., Oosterlee C.W., and Vuik C. A novel multigrid based preconditioner for heterogeneous Helmholtz problems. SIAM J. Sci. Comput. 27 4 (2006) 1471-1492
    • (2006) SIAM J. Sci. Comput. , vol.27 , Issue.4 , pp. 1471-1492
    • Erlangga, Y.A.1    Oosterlee, C.W.2    Vuik, C.3
  • 5
    • 3142611583 scopus 로고    scopus 로고
    • On a class of preconditioners for solving the Helmholtz equation
    • Erlangga Y.A., Vuik C., and Oosterlee C.W. On a class of preconditioners for solving the Helmholtz equation. Appl. Numer. Math. 50 3-4 (2004) 409-425
    • (2004) Appl. Numer. Math. , vol.50 , Issue.3-4 , pp. 409-425
    • Erlangga, Y.A.1    Vuik, C.2    Oosterlee, C.W.3
  • 6
    • 1642369052 scopus 로고    scopus 로고
    • A discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of short wave exterior Helmholtz problems on unstructured meshes
    • Farhat C., Wiedemann-Goiran P., and Tezaur R. A discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of short wave exterior Helmholtz problems on unstructured meshes. Wave Motion 39 4 (2004) 307-317
    • (2004) Wave Motion , vol.39 , Issue.4 , pp. 307-317
    • Farhat, C.1    Wiedemann-Goiran, P.2    Tezaur, R.3
  • 7
    • 34247183852 scopus 로고    scopus 로고
    • Time-periodic solutions of wave equation via controllability and fictitious domain methods
    • Cohen G., Heikkola E., Joly P., and Neittaanmäki P. (Eds), Springer, Jyväskylä, Finland
    • Glowinski R., Périaux J., and Toivanen J. Time-periodic solutions of wave equation via controllability and fictitious domain methods. In: Cohen G., Heikkola E., Joly P., and Neittaanmäki P. (Eds). Mathematical and Numerical Aspects of Wave Propagation, Proceedings of WAVES 2003 (2003), Springer, Jyväskylä, Finland 805-810
    • (2003) Mathematical and Numerical Aspects of Wave Propagation, Proceedings of WAVES 2003 , pp. 805-810
    • Glowinski, R.1    Périaux, J.2    Toivanen, J.3
  • 8
    • 34247195722 scopus 로고    scopus 로고
    • E. Heikkola, S. Mönkölä, A. Pennanen, T. Rossi, Solving the acoustic scattering problem with controllability and spectral element methods, Reports of the Department of Mathematical Information Technology, Series B. Scientific Computing, B 3/2006, Department of Mathematical Information Technology, University of Jyväskylä, 2006.
  • 9
    • 15944403194 scopus 로고    scopus 로고
    • Algebraic multigrid for higher-order finite elements
    • Heys J., Manteuffel T., McCormick S., and Olson L. Algebraic multigrid for higher-order finite elements. J. Comput. Phys. 204 2 (2005) 520-532
    • (2005) J. Comput. Phys. , vol.204 , Issue.2 , pp. 520-532
    • Heys, J.1    Manteuffel, T.2    McCormick, S.3    Olson, L.4
  • 10
    • 6344289260 scopus 로고    scopus 로고
    • The perfectly matched layer for the ultra weak variational formulation of the 3D Helmholtz equation
    • Huttunen T., Kaipio J.P., and Monk P. The perfectly matched layer for the ultra weak variational formulation of the 3D Helmholtz equation. Internat. J. Numer. Methods Eng. 61 7 (2004) 1072-1092
    • (2004) Internat. J. Numer. Methods Eng. , vol.61 , Issue.7 , pp. 1072-1092
    • Huttunen, T.1    Kaipio, J.P.2    Monk, P.3
  • 12
    • 0000266939 scopus 로고    scopus 로고
    • Algebraic multi-grid for discrete elliptic second-order problems
    • Springer, Berlin
    • Kickinger F. Algebraic multi-grid for discrete elliptic second-order problems. Multigrid Methods V (Stuttgart 1996) (1998), Springer, Berlin 157-172
    • (1998) Multigrid Methods V (Stuttgart 1996) , pp. 157-172
    • Kickinger, F.1
  • 13
    • 0023966723 scopus 로고
    • Exact controllability, stabilization and perturbations for distributed systems
    • Lions J.L. Exact controllability, stabilization and perturbations for distributed systems. SIAM Rev. 30 1 (1988) 1-68
    • (1988) SIAM Rev. , vol.30 , Issue.1 , pp. 1-68
    • Lions, J.L.1
  • 14
    • 34247225014 scopus 로고    scopus 로고
    • J. Martikainen, A. Pennanen, Application of an algebraic multigrid method to incompressible flow problems, Reports of the Department of Mathematical Information Technology, Series B. Scientific Computing, B 2/2006, Department of Mathematical Information Technology, University of Jyväskylä.
  • 15
    • 0038115246 scopus 로고    scopus 로고
    • Investigation of a two-dimensional spectral element method for Helmholtz's equation
    • Mehdizadeh O.Z., and Paraschivoiu M. Investigation of a two-dimensional spectral element method for Helmholtz's equation. J. Comput. Phys. 189 (2003) 111-129
    • (2003) J. Comput. Phys. , vol.189 , pp. 111-129
    • Mehdizadeh, O.Z.1    Paraschivoiu, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.