메뉴 건너뛰기




Volumn 80, Issue 9, 2009, Pages 1196-1240

An energy approach to space-time Galerkin BEM for wave propagation problems

Author keywords

Boundary integral equation; Energy identity; Galerkin boundary element method; Wave propagation; Weak formulation

Indexed keywords

BILINEAR FORM; DIRICHLET; ENERGY APPROACH; ENERGY IDENTITY; GALERKIN BEM; GALERKIN BOUNDARY ELEMENT METHOD; INTEGRAL PROBLEMS; NATURAL ENERGY; NUMERICAL SIMULATION; RETARDED POTENTIAL; UNCONDITIONAL STABILITY; WAVE PROPAGATION PROBLEMS; WEAK FORMULATION;

EID: 70350540239     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2660     Document Type: Article
Times cited : (70)

References (33)
  • 1
    • 0022332127 scopus 로고
    • A boundary element procedure for transient wave propagations in two-dimensional isotropic media
    • Antes H. A boundary element procedure for transient wave propagations in two-dimensional isotropic media. Finite Elements in Analysis and Design 1985; 1:313-322.
    • (1985) Finite Elements in Analysis and Design , vol.1 , pp. 313-322
    • Antes, H.1
  • 3
    • 0035598443 scopus 로고    scopus 로고
    • Couplage ́el ́ements finis-potentiels retard ́es pour la diffraction ́electromagn ́etique par un obstacle h ́et ́erog'ene
    • Bachelot A, Bounhoure L, Pujols A. Couplage ́el ́ements finis-potentiels retard ́es pour la diffraction ́electromagn ́etique par un obstacle h ́et ́erog'ene. Numerische Mathematik 2001; 89:257-306.
    • (2001) Numerische Mathematik , vol.89 , pp. 257-306
    • Bachelot, A.1    Bounhoure, L.2    Pujols, A.3
  • 4
    • 0034952854 scopus 로고    scopus 로고
    • Boundary equations in dynamic problems of the theory of elasticity
    • Chudinovich I. Boundary equations in dynamic problems of the theory of elasticity. Acta Applicandae Mathematicae 2001; 65:169-183.
    • (2001) Acta Applicandae Mathematicae , vol.65 , pp. 169-183
    • Chudinovich, I.1
  • 6
    • 0033621005 scopus 로고    scopus 로고
    • A comparative study of three boundary element approaches to calculate the transient response of viscoelastic solids with unbounded domains
    • Gaul L, Schanz M. A comparative study of three boundary element approaches to calculate the transient response of viscoelastic solids with unbounded domains. Computer Methods in Applied Mechanics and Engineering 1999; 179(1-2):111-123.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.179 , Issue.1-2 , pp. 111-123
    • Gaul, L.1    Schanz, M.2
  • 7
    • 0026261022 scopus 로고
    • A variational approach to boundary element elastodynamic analysis and extension to multidomain problem
    • Maier G, Diligenti M, Carini A. A variational approach to boundary element elastodynamic analysis and extension to multidomain problem. Computer Methods in Applied Mechanics and Engineering 1991; 92:193-213.
    • (1991) Computer Methods in Applied Mechanics and Engineering , vol.92 , pp. 193-213
    • Maier, G.1    Diligenti, M.2    Carini, A.3
  • 8
    • 34250092484 scopus 로고
    • Convolution quadrature and discretized operational calculus. I
    • Lubich C. Convolution quadrature and discretized operational calculus. I. Numerische Mathematik 1988; 52: 129-145.
    • (1988) Numerische Mathematik , vol.52 , pp. 129-145
    • Lubich, C.1
  • 9
    • 34250094006 scopus 로고
    • Convolution quadrature and discretized operational calculus. II
    • Lubich C. Convolution quadrature and discretized operational calculus. II. Numerische Mathematik 1988; 52: 413-425.
    • (1988) Numerische Mathematik , vol.52 , pp. 413-425
    • Lubich, C.1
  • 10
    • 84951609873 scopus 로고
    • On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations
    • Lubich C. On the multistep time discretization of linear initial-boundary value problems and their boundary integral equations. Numerische Mathematik 1994; 67:365-389.
    • (1994) Numerische Mathematik , vol.67 , pp. 365-389
    • Lubich, C.1
  • 11
    • 84988202061 scopus 로고
    • Formulation variationnelle espace-temps pour le calcul par potentiel retard ́e de la diffraction d'une onde acoustique. I
    • Bamberger A, Ha Duong T. Formulation variationnelle espace-temps pour le calcul par potentiel retard ́e de la diffraction d'une onde acoustique. I. Mathematical Methods in the Applied Sciences 1986; 8:405-435.
    • (1986) Mathematical Methods in the Applied Sciences , vol.8 , pp. 405-435
    • Bamberger, A.1    Ha Duong, T.2
  • 12
    • 0022875660 scopus 로고
    • Formulation variationnelle pour le calcul de la diffraction d'une onde acoustique par une surface rigide
    • Bamberger A, Ha Duong T. Formulation variationnelle pour le calcul de la diffraction d'une onde acoustique par une surface rigide. Mathematical Methods in the Applied Sciences 1986; 8:598-608.
    • (1986) Mathematical Methods in the Applied Sciences , vol.8 , pp. 598-608
    • Bamberger, A.1    Ha Duong, T.2
  • 13
    • 0040162209 scopus 로고
    • On the transient acoustic scattering by a flat object
    • Ha Duong T. On the transient acoustic scattering by a flat object. Japan Journal of Applied Mathematics 1990; 7:489-513.
    • (1990) Japan Journal of Applied Mathematics , vol.7 , pp. 489-513
    • Ha Duong, T.1
  • 14
    • 21244496404 scopus 로고    scopus 로고
    • On retarded potential boundary integral equations and their discretization
    • Davies P, Duncan D, Martin P, Rynne B (eds). Springer: Berlin
    • Ha Duong T. On retarded potential boundary integral equations and their discretization. In Topics in Computational Wave Propagation. Direct and Inverse Problems, Davies P, Duncan D, Martin P, Rynne B (eds). Springer: Berlin, 2003; 301-336.
    • (2003) Topics in Computational Wave Propagation. Direct and Inverse Problems , pp. 301-336
    • Ha Duong, T.1
  • 15
    • 0027560702 scopus 로고
    • A variational boundary integral equation method for an elastodynamic antiplane crack
    • Becache E. A variational boundary integral equation method for an elastodynamic antiplane crack. International Journal for Numerical Methods in Engineering 1993; 36:969-984.
    • (1993) International Journal for Numerical Methods in Engineering , vol.36 , pp. 969-984
    • Becache, E.1
  • 16
    • 0009219895 scopus 로고
    • A space-time variational formulation for the boundary integral equation in a 2D elastic crack problem
    • Becache E, Ha Duong T. A space-time variational formulation for the boundary integral equation in a 2D elastic crack problem. Mathematical Modelling and Numerical Analysis 1994; 28:141-176.
    • (1994) Mathematical Modelling and Numerical Analysis , vol.28 , pp. 141-176
    • Becache, E.1    Ha Duong, T.2
  • 18
    • 33745740918 scopus 로고    scopus 로고
    • Time-dependent problems with the boundary integral method
    • Chapter 25, Stein E, de Borst R, Hughes TJR (eds). Wiley: New York
    • Costabel M. Time-dependent problems with the boundary integral method. In Encyclopedia of Computational Mechanics, Chapter 25, Stein E, de Borst R, Hughes TJR (eds). Wiley: New York, 2004.
    • (2004) Encyclopedia of Computational Mechanics
    • Costabel, M.1
  • 19
    • 0005470602 scopus 로고
    • Developments in boundary element methods for time-dependent problems
    • Jentsch L, Tröltzsch F (eds), G. Tuebner: Leipzig
    • Costabel M. Developments in boundary element methods for time-dependent problems. In Problems and Methods in Mathematical Physics, Jentsch L, Tröltzsch F (eds), vol. 134. B. G. Tuebner: Leipzig, 1994; 17-32.
    • (1994) Problems and Methods in Mathematical Physics , vol.134 B , pp. 17-32
    • Costabel, M.1
  • 25
    • 0005538040 scopus 로고
    • On the eigenvalues of an integral equation arising in the theory of band-limited signals
    • Fuchs WHJ. On the eigenvalues of an integral equation arising in the theory of band-limited signals. Journal of Mathematical Analysis and Applications 1964; 9:317-330.
    • (1964) Journal of Mathematical Analysis and Applications , vol.9 , pp. 317-330
    • Fuchs, W.H.J.1
  • 26
    • 0000811505 scopus 로고
    • A wave problem in a half-space with a unilateral constraint at the boundary
    • Lebeau G, Schatzman M. A wave problem in a half-space with a unilateral constraint at the boundary. Journal of Differential Equations 1984; 53:309-361.
    • (1984) Journal of Differential Equations , vol.53 , pp. 309-361
    • Lebeau, G.1    Schatzman, M.2
  • 27
    • 0013356009 scopus 로고
    • Neumann operator for wave equation in a half space and microlocal orders of singularities along the boundary
    • 8. Ecole Polytech: Palaiseau
    • Miyatake S. Neumann operator for wave equation in a half space and microlocal orders of singularities along the boundary. Seminaire sur les Equations aux Derivees Partielles, vol. XVI, 8. Ecole Polytech: Palaiseau, 1993; 1992-1993.
    • (1993) Seminaire sur les Equations aux Derivees Partielles , vol.16 , pp. 1992-1993
    • Miyatake, S.1
  • 30
    • 50649125086 scopus 로고    scopus 로고
    • A new space-time energetic formulation for wave propagation analysis in layered media by BEMs
    • Aimi A, Diligenti M. A new space-time energetic formulation for wave propagation analysis in layered media by BEMs. International Journal for Numerical Methods in Engineering 2008; 75:1102-1132.
    • (2008) International Journal for Numerical Methods in Engineering , vol.75 , pp. 1102-1132
    • Aimi, A.1    Diligenti, M.2
  • 31
    • 0034966892 scopus 로고    scopus 로고
    • Scattering and diffraction of SH waves by a finite crack: An analytical solution
    • Sanchez-Sesma FJ, Iturraran-Viveros U. Scattering and diffraction of SH waves by a finite crack: an analytical solution. Geophysical Journal International 2001; 145:749-758.
    • (2001) Geophysical Journal International , vol.145 , pp. 749-758
    • Sanchez-Sesma, F.J.1    Iturraran-Viveros, U.2
  • 32
    • 33745268214 scopus 로고    scopus 로고
    • Scattering of elastic waves by a 2-D crack using the indirect boundary element method (IBEM)
    • Iturraran-Viveros U, Vai R, Sanchez-Sesma FJ. Scattering of elastic waves by a 2-D crack using the indirect boundary element method (IBEM). Geophysical Journal International 2005; 162:927-934.
    • (2005) Geophysical Journal International , vol.162 , pp. 927-934
    • Iturraran-Viveros, U.1    Vai, R.2    Sanchez-Sesma, F.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.