A fast multi-resolution lattice Green's function method for elliptic difference equations
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Ke Yu | Gianmarco Mengaldo | Tim Colonius | Benedikt Dorschner | T. Colonius | K. Yu | B. Dorschner | G. Mengaldo
[1] J. Tukey,et al. An algorithm for the machine calculation of complex Fourier series , 1965 .
[2] Brian van Straalen,et al. A survey of high level frameworks in block-structured adaptive mesh refinement packages , 2014, J. Parallel Distributed Comput..
[3] D. Bartuschat. Algebraic Multigrid , 2007 .
[4] Eleftherios N. Economou,et al. Green's functions in quantum physics , 1979 .
[5] Barry F. Smith,et al. Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial Differential Equations , 1996 .
[6] Per-Gunnar Martinsson,et al. A fast solver for Poisson problems on infinite regular lattices , 2011, J. Comput. Appl. Math..
[7] O. Vasilyev,et al. Wavelet Methods in Computational Fluid Dynamics , 2010 .
[8] Shizhao Wang,et al. An immersed boundary method based on discrete stream function formulation for two- and three-dimensional incompressible flows , 2011, J. Comput. Phys..
[9] Jacques Periaux,et al. Wavelet methods in computational fluid dynamics , 1993 .
[10] D. Zorin,et al. A kernel-independent adaptive fast multipole algorithm in two and three dimensions , 2004 .
[11] Fazle Hussain,et al. Effects of boundary condition in numerical simulations of vortex dynamics , 2004, Journal of Fluid Mechanics.
[12] Leslie Greengard,et al. A fast algorithm for particle simulations , 1987 .
[13] Boyce E. Griffith,et al. An adaptive, formally second order accurate version of the immersed boundary method , 2007, J. Comput. Phys..
[14] Hari Sundar,et al. FFT, FMM, or Multigrid? A comparative Study of State-Of-the-Art Poisson Solvers for Uniform and Nonuniform Grids in the Unit Cube , 2014, SIAM J. Sci. Comput..
[15] Per-Gunnar Martinsson,et al. Asymptotic expansions of lattice Green's functions , 2002, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[16] Tim Colonius,et al. The immersed boundary method: A projection approach , 2007, J. Comput. Phys..
[17] S. Tsynkov. Numerical solution of problems on unbounded domains. a review , 1998 .
[18] J. W. Ruge,et al. 4. Algebraic Multigrid , 1987 .
[19] Dongjoo Kim,et al. Vortical structures behind a sphere at subcritical Reynolds numbers , 2006 .
[20] Tim Colonius,et al. A fast immersed boundary method for external incompressible viscous flows using lattice Green's functions , 2016, J. Comput. Phys..
[21] M. Berger,et al. An Adaptive Version of the Immersed Boundary Method , 1999 .
[22] Per-Gunnar Martinsson,et al. Fast and accurate numerical methods for solving elliptic difference equations defined on lattices , 2010, J. Comput. Phys..
[23] Hari Sundar,et al. Parallel geometric-algebraic multigrid on unstructured forests of octrees , 2012, 2012 International Conference for High Performance Computing, Networking, Storage and Analysis.
[24] W. Mccrea,et al. XXII.—Random Paths in Two and Three Dimensions. , 1940 .
[25] M. Mangad. Asymptotic expansions of Fourier transforms and discrete polyharmonic Green's functions. , 1967 .
[26] Richard W. Vuduc,et al. A massively parallel adaptive fast-multipole method on heterogeneous architectures , 2009, Proceedings of the Conference on High Performance Computing Networking, Storage and Analysis.
[27] P. Martinsson,et al. Fast multiscale methods for lattice equations , 2002 .
[28] G. Joyce,et al. On the Green Function for the Anisotropic Simple Cubic Lattice , 2001 .
[29] I. Zucker,et al. Extended Watson integrals for the cubic lattices. , 1977, Proceedings of the National Academy of Sciences of the United States of America.
[30] T. Colonius,et al. A fast immersed boundary method using a nullspace approach and multi-domain far-field boundary conditions , 2008 .
[31] A. Kulikovsky. Positive streamer between parallel plate electrodes in atmospheric pressure air , 1997 .
[32] Tim Colonius,et al. A fast lattice Green's function method for solving viscous incompressible flows on unbounded domains , 2015, J. Comput. Phys..
[33] Tim Colonius,et al. A parallel fast multipole method for elliptic difference equations , 2014, J. Comput. Phys..
[34] Tim Colonius,et al. MODELING ARTIFICIAL BOUNDARY CONDITIONS FOR COMPRESSIBLE FLOW , 2004 .