High-Frequency Asymptotic Compression of Dense BEM Matrices for General Geometries Without Ray Tracing
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[1] François Alouges,et al. The sparse cardinal sine decomposition and its application for fast numerical convolution , 2015, Numerical Algorithms.
[2] Samuel P. Groth,et al. Hybrid numerical-asymptotic approximation for high-frequency scattering by penetrable convex polygons , 2015 .
[3] Simon R. Arridge,et al. Solving Boundary Integral Problems with BEM++ , 2015, ACM Trans. Math. Softw..
[4] Boris N. Khoromskij,et al. Efficient Computation of Highly Oscillatory Integrals by Using QTT Tensor Approximation , 2014, Comput. Methods Appl. Math..
[5] Lexing Ying,et al. Fast Directional Computation of High Frequency Boundary Integrals via Local FFTs , 2014, Multiscale Model. Simul..
[6] Daan Huybrechs,et al. Extraction of Uniformly Accurate Phase Functions Across Smooth Shadow Boundaries in High Frequency Scattering Problems , 2014, SIAM J. Appl. Math..
[7] Stephen Langdon,et al. A high frequency boundary element method for scattering by a class of nonconvex obstacles , 2014, Numerische Mathematik.
[8] Leslie Greengard,et al. Quadrature by expansion: A new method for the evaluation of layer potentials , 2012, J. Comput. Phys..
[9] Stephen Langdon,et al. Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering* , 2012, Acta Numerica.
[10] Akash Anand,et al. Analysis of multiple scattering iterations for high-frequency scattering problems. II: The three-dimensional scalar case , 2009, Numerische Mathematik.
[11] Fernando Reitich,et al. Analysis of Multiple Scattering Iterations for High-frequency Scattering Problems. I: the Two-dimensional Case Analysis of Multiple Scattering Iterations for High-frequency Scattering Problems. I: the Two-dimensional Case , 2006 .
[12] Boris N. Khoromskij,et al. Tensor-Structured Preconditioners and Approximate Inverse of Elliptic Operators in ℝd , 2009 .
[13] Ingo Wald,et al. State of the Art in Ray Tracing Animated Scenes , 2009, Comput. Graph. Forum.
[14] Gregory Beylkin,et al. Fast algorithms for Helmholtz Green's functions , 2008, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.
[15] Daan Huybrechs,et al. An efficient implementation of boundary element methods for computationally expensive Green's functions. , 2008 .
[16] Daan Huybrechs,et al. A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems , 2007, SIAM J. Sci. Comput..
[17] Ian H. Sloan,et al. Efficient evaluation of highly oscillatory acoustic scattering surface integrals , 2007 .
[18] Ivan G. Graham,et al. A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering , 2007, Numerische Mathematik.
[19] Daan Huybrechs,et al. A two-dimensional wavelet-packet transform for matrix compression of integral equations with highly oscillatory kernel , 2006 .
[20] C. Geuzaine,et al. On the O(1) solution of multiple-scattering problems , 2005, IEEE Transactions on Magnetics.
[21] Mario Bebendorf,et al. F ¨ Ur Mathematik in Den Naturwissenschaften Leipzig Hierarchical Lu Decomposition Based Preconditioners for Bem Hierarchical Lu Decomposition Based Preconditioners for Bem , 2022 .
[22] Fernando Reitich,et al. Prescribed error tolerances within fixed computational times for scattering problems of arbitrarily high frequency: the convex case , 2004, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[23] W. Sweldens,et al. Quadrature formulae and asymptotic error expansions for wavelet approximations of smooth functions , 1994 .
[24] R. Wong. Asymptotic approximations of integrals , 1989, Classics in applied mathematics.
[25] Leslie Greengard,et al. A fast algorithm for particle simulations , 1987 .
[26] V. Rokhlin. Rapid solution of integral equations of classical potential theory , 1985 .
[27] Michael Taylor,et al. Near peak scattering and the corrected Kirchhoff approximation for a convex obstacle , 1985 .
[28] Peter Werner,et al. Über das Dirichletsche Außenraumproblem für die Helmholtzsche Schwingungsgleichung , 1965 .
[29] R. Harrington. Time-Harmonic Electromagnetic Fields , 1961 .
[30] Stuart C. Hawkins,et al. A fully discrete Galerkin method for high frequency exterior acoustic scattering in three dimensions , 2011, J. Comput. Phys..
[31] Eldar Giladi,et al. Asymptotically derived boundary elements for the Helmholtz equation in high frequencies , 2007 .
[32] G. Nemes. Asymptotic Expansions of Integrals , 2004 .
[33] Vasili M. Babič,et al. Short-Wavelength Diffraction Theory , 1991 .
[34] R. Kress,et al. Integral equation methods in scattering theory , 1983 .