Time-harmonic elasticity with controllability and higher-order discretization methods
暂无分享,去创建一个
Tuomo Rossi | Erkki Heikkola | Sanna Mönkölä | Anssi Pennanen | E. Heikkola | A. Pennanen | Sanna Mönkölä | T. Rossi
[1] J. Desanto. Mathematical and numerical aspects of wave propagation , 1998 .
[2] Patrick Joly,et al. FICTITIOUS DOMAINS, MIXED FINITE ELEMENTS AND PERFECTLY MATCHED LAYERS FOR 2-D ELASTIC WAVE PROPAGATION , 2001 .
[3] Ferdinand Kickinger,et al. Algebraic Multi-grid for Discrete Elliptic Second-Order Problems , 1998 .
[4] Gary Cohen. Higher-Order Numerical Methods for Transient Wave Equations , 2001 .
[5] Bruno Després,et al. Using Plane Waves as Base Functions for Solving Time Harmonic Equations with the Ultra Weak Variational Formulation , 2003 .
[6] Isaac Harari,et al. Studies of FE/PML for exterior problems of time-harmonic elastic waves , 2004 .
[7] Xiaobing Feng,et al. A domain decomposition method for solving a Helmholtz-like problem in elasticity based on the Wilson nonconforming element , 1997 .
[8] Yousef Saad,et al. Iterative methods for sparse linear systems , 2003 .
[9] C. Farhat,et al. The discontinuous enrichment method for elastic wave propagation in the medium‐frequency regime , 2006 .
[10] M. Dumbser,et al. An arbitrary high-order discontinuous Galerkin method for elastic waves on unstructured meshes - I. The two-dimensional isotropic case with external source terms , 2006 .
[11] Marcus J. Grote,et al. Dirichlet-to-Neumann map for three-dimensional elastic waves , 2003 .
[12] A. Majda,et al. Radiation boundary conditions for acoustic and elastic wave calculations , 1979 .
[13] Ezio Faccioli,et al. Spectral-domain decomposition methods for the solution of acoustic and elastic wave equations , 1996 .
[14] Patrick Joly,et al. Domain Decomposition Method for Harmonic Wave Propagation : A General Presentation , 2000 .
[15] R. Glowinski,et al. Controllability Methods for the Computation of Time-Periodic Solutions; Application to Scattering , 1998 .
[16] Tuomo Rossi,et al. Controllability method for the Helmholtz equation with higher-order discretizations , 2007, J. Comput. Phys..
[17] Thomas A. Manteuffel,et al. Algebraic multigrid for higher-order finite elements , 2005 .
[18] S. Mönkölä,et al. Controllability method for acoustic scattering with spectral elements , 2007 .
[19] Roland Martin,et al. WAVE PROPAGATION IN 2-D ELASTIC MEDIA USING A SPECTRAL ELEMENT METHOD WITH TRIANGLES AND QUADRANGLES , 2001 .
[20] Isaac Harari,et al. Improved finite element methods for elastic waves , 1998 .
[21] A. J. Berkhout,et al. Elastic Wave Field Extrapolation: Redatuming of Single- and Multi-Component Seismic Data , 1989 .
[22] Erkki Heikkola,et al. An algebraic multigrid based shifted-Laplacian preconditioner for the Helmholtz equation , 2007, J. Comput. Phys..
[23] Alfio Quarteroni,et al. Generalized Galerkin approximations of elastic waves with absorbing boundary conditions , 1998 .
[24] Jari P. Kaipio,et al. The Ultra-Weak Variational Formulation for Elastic Wave Problems , 2004, SIAM J. Sci. Comput..
[25] G. Mur,et al. The finite-element modeling of three-dimensional electromagnetic fields using edge and nodal elements , 1993 .
[26] Jean-Pierre Vilotte,et al. The Spectral Element Method For Elastic Wa V Eequations: Application to 2D And 3D Seismic Problems , 1998 .
[27] David Bindel,et al. Elastic PMLs for resonator anchor loss simulation , 2005 .
[28] Jing Li,et al. An iterative domain decomposition method for the solution of a class of indefinite problems in computational structural dynamics , 2005 .
[29] R. Glowinski,et al. Exact and approximate controllability for distributed parameter systems , 1995, Acta Numerica.
[30] S. Timoshenko,et al. Theory of elasticity , 1975 .
[31] D Komatitsch,et al. CASTILLO-COVARRUBIAS JM, SANCHEZ-SESMA FJ. THE SPECTRAL ELEMENT METHOD FOR ELASTIC WAVE EQUATIONS-APPLICATION TO 2-D AND 3-D SEISMIC PROBLEMS , 1999 .
[32] Alfio Quarteroni,et al. Numerical solution of linear elastic problems by spectral collocation methods , 1993 .