Short–wave scattering: problems and techniques
暂无分享,去创建一个
[1] Armel de La Bourdonnaye,et al. High frequency approximation of integral equations modeling scattering phenomena , 1994 .
[2] J. Berkhoff,et al. Mathematical models for simple harmonic linear water waves: Wave diffraction and refraction , 1976 .
[3] T. Hagstrom. Exact and High-Order Boundary Conditions in the Time Domain , 1998 .
[4] P. Morse,et al. Methods of theoretical physics , 1955 .
[5] T. Abboud,et al. Méthode des équations intégrales pour les hautes fréquences , 1994 .
[6] Klaus Schulten,et al. The fast multipole algorithm , 2000, Comput. Sci. Eng..
[7] Dan Givoli,et al. Recent advances in the DtN FE Method , 1999 .
[8] S. I. Hariharan,et al. A Systematic Approach for Constructing Asymptotic Boundary Conditions for Wave-Like Equations , 1998 .
[9] P. Ortiz. Finite elements using a plane-wave basis for scattering of surface water waves , 2004, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[10] I. Babuska,et al. The Partition of Unity Method , 1997 .
[11] W. Chew,et al. Computational electromagnetics: the physics of smooth versus oscillatory fields , 2004, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[12] P. Bettess,et al. Use of wave boundary elements for acoustic computations. , 2003 .
[13] R. J. Astley,et al. Three-dimensional wave-envelope elements of variable order for acoustic radiation and scattering , 1998 .
[14] Ivo Babuška,et al. A posteriori error estimation for finite element solutions of Helmholtz' equation—Part II: estimation of the pollution error , 1997 .
[15] C. J. Chapman. SIMILARITY VARIABLES FOR SOUND RADIATION IN A UNIFORM FLOW , 2000 .
[16] R. J. Astley,et al. Mapped Wave Envelope Elements for Acoustical Radiation and Scattering , 1994 .
[17] Jaime Peraire,et al. A time domain unstructured grid approach to the simulation of electromagnetic scattering in piecewise homogeneous media , 1996 .
[18] V. Rokhlin. Rapid solution of integral equations of classical potential theory , 1985 .
[19] N. Peake,et al. On applications of high-frequency asymptotics in aeroacoustics , 2004, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[20] V. Rokhlin. Rapid Solution of Integral Equations of Scattering Theory , 1990 .
[21] Eric Darrigrand,et al. Coupling of fast multipole method and microlocal discretization for the 3-D Helmholtz equation , 2002 .
[22] J. Hesthaven,et al. Nodal high-order methods on unstructured grids , 2002 .
[23] B. Després,et al. SUR UNE FORMULATION VARIATIONNELLE DE TYPE ULTRA-FAIBLE , 1994 .
[24] Nigel P. Weatherill,et al. Parallel processing for the simulation of problems involving scattering of electromagnetic waves , 1998 .
[25] R. J. Astley,et al. Modelling of short wave diffraction problems using approximating systems of plane waves , 2002 .
[26] O. C. Zienkiewicz,et al. Diffraction and refraction of surface waves using finite and infinite elements , 1977 .
[27] Jari P. Kaipio,et al. The Ultra-Weak Variational Formulation for Elastic Wave Problems , 2004, SIAM J. Sci. Comput..
[28] I. Babuska,et al. The design and analysis of the Generalized Finite Element Method , 2000 .
[29] D. Givoli. Numerical Methods for Problems in Infinite Domains , 1992 .
[30] R. Astley. Infinite elements for wave problems: a review of current formulations and an assessment of accuracy , 2000 .
[31] Thomas L. Geers. IUTAM Symposium on Computational Methods for UnBound Domains , 1998 .
[32] C. Farhat,et al. The Discontinuous Enrichment Method , 2000 .
[33] David S. Burnett,et al. Prolate and oblate spheroidal acoustic infinite elements , 1998 .
[34] Eric Darve,et al. The Fast Multipole Method , 2000 .
[35] Eric F Darve. Regular ArticleThe Fast Multipole Method: Numerical Implementation , 2000 .
[36] Bernardo Cockburn. Discontinuous Galerkin methods , 2003 .
[37] J. Peraire,et al. An unstructured grid algorithm for the solution of Maxwell's equations in the time domain , 1994 .
[38] I. Babuska,et al. The partition of unity finite element method: Basic theory and applications , 1996 .
[39] O. Bruno,et al. A fast, high-order algorithm for the solution of surface scattering problems: basic implementation, tests, and applications , 2001 .
[40] D. Givoli. Non-reflecting boundary conditions , 1991 .
[41] F. Rellich,et al. Über das asymptotische Verhalten der Lösungen von ...u + ...u = 0 in unendlichen Gebieten. , 1943 .
[42] Omar Laghrouche,et al. Short wave modelling using special finite elements , 2000 .
[43] I. Babuska,et al. Dispersion analysis and error estimation of Galerkin finite element methods for the Helmholtz equation , 1995 .
[44] P. Bettess,et al. Plane wave interpolation in direct collocation boundary element method for radiation and wave scattering: numerical aspects and applications , 2003 .
[45] J. Hesthaven,et al. High–order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem , 2004, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[46] G. Whitham. Linear and non linear waves , 1974 .
[47] Eli Turkel,et al. Far field boundary conditions for compressible flows , 1982 .
[48] C. Mei. The applied dynamics of ocean surface waves , 1983 .
[50] Jan Mandel,et al. The Finite Ray Element Method for the Helmholtz Equation of Scattering: First Numerical Experiments , 1997 .
[51] I. Babuska,et al. The partition of unity finite element method , 1996 .
[52] Thomas Hagstrom,et al. A formulation of asymptotic and exact boundary conditions using local operators , 1998 .
[53] A. Sommerfeld. Mathematische Theorie der Diffraction , 1896 .
[54] P. Bettess,et al. Diffraction of short waves modelled using new mapped wave envelope finite and infinite elements , 1999 .
[55] P. Monk,et al. Optimizing the Perfectly Matched Layer , 1998 .
[56] C. K. Thornhill,et al. Part I. The diffraction theory of sea waves and the shelter afforded by breakwaters , 1952, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.
[57] Peter Monk,et al. A least-squares method for the Helmholtz equation , 1999 .
[58] R. J. Astley,et al. Transient spheroidal elements for unbounded wave problems , 1998 .
[59] Oscar P. Bruno,et al. Surface scattering in three dimensions: an accelerated high–order solver , 2001, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[60] O. Cessenat,et al. Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem , 1998 .
[61] Bernard Peseux,et al. A numerical integration scheme for special finite elements for the Helmholtz equation , 2003 .
[62] T. Warburton. Application of the Discontinuous Galerkin Method to Maxwell’s Equations Using Unstructured Polymorphic hp-Finite Elements , 2000 .
[63] Mark Ainsworth,et al. Discrete Dispersion Relation for hp-Version Finite Element Approximation at High Wave Number , 2004, SIAM J. Numer. Anal..
[64] Eric Michielssen,et al. Fast transient analysis of acoustic wave scattering from rigid bodies using a two-level plane wave time domain algorithm , 1999 .
[65] Jiming Song,et al. Multilevel fast‐multipole algorithm for solving combined field integral equations of electromagnetic scattering , 1995 .
[66] T. Hughes. Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods , 1995 .
[67] Eric Darve,et al. Fast-multipole method: a mathematical study , 1997 .
[68] Jean-Pierre Berenger,et al. A perfectly matched layer for the absorption of electromagnetic waves , 1994 .
[69] R. J. Astley,et al. Three-dimensional wave-envelope elements of variable order for acoustic radiation and scattering. Part I. Formulation in the frequency domain , 1998 .
[70] Frank Ihlenburg,et al. ON FUNDAMENTAL ASPECTS OF EXTERIOR APPROXIMATIONS WITH INFINITE ELEMENTS , 2000 .
[71] R. Higdon. Absorbing boundary conditions for difference approximations to the multi-dimensional wave equation , 1986 .
[72] K. Atkinson. Elementary numerical analysis , 1985 .
[73] A. Majda,et al. Absorbing boundary conditions for the numerical simulation of waves , 1977 .
[74] Jon Trevelyan,et al. P-wave and S-wave decomposition in boundary integral equation for plane elastodynamic problems , 2003 .
[75] Eric F Darve. The Fast Multipole Method , 2000 .
[76] K. Gerdes,et al. A REVIEW OF INFINITE ELEMENT METHODS FOR EXTERIOR HELMHOLTZ PROBLEMS , 2000 .
[77] Charbel Farhat,et al. A discontinuous finite element method for the helmholtz equation , 2000 .
[78] James Lighthill,et al. Waves In Fluids , 1966 .
[79] E. Michielssen,et al. Fast Evaluation of Three-Dimensional Transient Wave Fields Using Diagonal Translation Operators , 1998 .
[80] O. Zienkiewicz,et al. The coupling of the finite element method and boundary solution procedures , 1977 .
[81] E. Michielssen,et al. The plane-wave time-domain algorithm for the fast analysis of transient wave phenomena , 1999 .
[82] O. C. Zienkiewicz,et al. Mapped infinite elements for exterior wave problems , 1985 .
[83] Leslie Greengard,et al. A fast algorithm for particle simulations , 1987 .
[84] P. Ortiz,et al. An improved partition of unity finite element model for diffraction problems , 2001 .
[85] R. J. Astley,et al. Wave envelope and infinite elements for acoustical radiation , 1983 .
[86] David S. Burnett,et al. A three‐dimensional acoustic infinite element based on a prolate spheroidal multipole expansion , 1994 .
[87] M. Gunzburger,et al. Boundary conditions for the numerical solution of elliptic equations in exterior regions , 1982 .
[88] Ivo Babuška,et al. A posteriori error estimation for finite element solutions of Helmholtz’ equation. part I: the quality of local indicators and estimators , 1997 .
[89] A. De La Bourdonnaye. UNE METHODE DE DISCRETISATION MICROLOCALE ET SON APPLICATION A UN PROBLEMEDE DIFFRACTION , 1994 .
[90] J. Kaipio,et al. Computational aspects of the ultra-weak variational formulation , 2002 .
[91] G. Whitham,et al. Linear and Nonlinear Waves , 1976 .
[92] P. Bettess,et al. New special wave boundary elements for short wave problems , 2002 .
[93] T. L. Geers. IUTAM Symposium on Computational Methods for Unbounded Domains : proceedings of the IUTAM symposium held in Boulder, Colorado, USA, 27-31 July 1997 , 1998 .
[94] R. Coifman,et al. The fast multipole method for the wave equation: a pedestrian prescription , 1993, IEEE Antennas and Propagation Magazine.
[95] Edmund Chadwick,et al. Modelling of progressive short waves using wave envelopes , 1997 .