A comparison of wave‐based discontinuous Galerkin, ultra‐weak and least‐square methods for wave problems
暂无分享,去创建一个
[1] R. Higdon,et al. Initial-boundary value problems for linear hyperbolic systems , 1986 .
[2] I. Babuska,et al. The Partition of Unity Method , 1997 .
[3] I. Babuska,et al. The partition of unity finite element method: Basic theory and applications , 1996 .
[4] E. Toro. Riemann Solvers and Numerical Methods for Fluid Dynamics , 1997 .
[5] O. Cessenat,et al. Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem , 1998 .
[6] Małgorzata Stojek,et al. LEAST-SQUARES TREFFTZ-TYPE ELEMENTS FOR THE HELMHOLTZ EQUATION , 1998 .
[7] Peter Monk,et al. A least-squares method for the Helmholtz equation , 1999 .
[8] Ismael Herrera,et al. Trefftz Method: A General Theory , 2000 .
[9] C. Farhat,et al. The Discontinuous Enrichment Method , 2000 .
[10] Y. Shlepnev,et al. Trefftz finite elements for electromagnetics , 2002 .
[11] J. Kaipio,et al. Computational aspects of the ultra-weak variational formulation , 2002 .
[12] R. LeVeque. Finite Volume Methods for Hyperbolic Problems: Characteristics and Riemann Problems for Linear Hyperbolic Equations , 2002 .
[13] Charbel Farhat,et al. The discontinuous enrichment method for multiscale analysis , 2003 .
[14] Charbel Farhat,et al. A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime , 2003 .
[15] Jari P. Kaipio,et al. The Ultra-Weak Variational Formulation for Elastic Wave Problems , 2004, SIAM J. Sci. Comput..
[16] Charbel Farhat,et al. Higher‐order extensions of a discontinuous Galerkin method for mid‐frequency Helmholtz problems , 2004 .
[17] Francis Collino,et al. Error estimates in the fast multipole method for scattering problems Part 1: Truncation of the Jacobi-Anger series , 2004 .
[18] Charbel Farhat,et al. A discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of short wave exterior Helmholtz problems on unstructured meshes , 2004 .
[19] Peter Monk,et al. A Discontinuous Galerkin Method for Linear Symmetric Hyperbolic Systems in Inhomogeneous Media , 2005, J. Sci. Comput..
[20] R. J. Astley,et al. Special short wave elements for flow acoustics , 2005 .
[21] R. J. Astley,et al. The partition of unity finite element method for short wave acoustic propagation on non‐uniform potential flows , 2006 .
[22] R. J. Astley,et al. A comparison of two Trefftz‐type methods: the ultraweak variational formulation and the least‐squares method, for solving shortwave 2‐D Helmholtz problems , 2007 .
[23] Peter Monk,et al. Solving Maxwell's equations using the ultra weak variational formulation , 2007, J. Comput. Phys..
[24] Gwénaël Gabard,et al. Discontinuous Galerkin methods with plane waves for time-harmonic problems , 2007, J. Comput. Phys..
[25] Bert Pluymers,et al. Trefftz-Based Methods for Time-Harmonic Acoustics , 2007 .
[26] Charbel Farhat,et al. A discontinuous enrichment method for capturing evanescent waves in multiscale fluid and fluid/solid problems , 2008 .
[27] C. Farhat,et al. A discontinuous enrichment method for three‐dimensional multiscale harmonic wave propagation problems in multi‐fluid and fluid–solid media , 2008 .
[28] Ralf Hiptmair,et al. PLANE WAVE DISCONTINUOUS GALERKIN METHODS: ANALYSIS OF THE h-VERSION ∗, ∗∗ , 2009 .
[29] Omar Laghrouche,et al. Numerical modelling of elastic wave scattering in frequency domain by the partition of unity finite element method , 2009 .