An adaptive fast direct solver for boundary integral equations in two dimensions
Tóm tắt
Từ khóa
Tài liệu tham khảo
Björck, 1996
Carrier, 1988, A fast adaptive multipole algorithm for particle simulations, SIAM J. Sci. Stat. Comput., 9, 669, 10.1137/0909044
Chandler, 1984, Galkerinʼs method for boundary integral equations on polygonal domains, J. Aust. Math. Soc., Ser. B, 26, 1, 10.1017/S033427000000429X
Chandrasekaran, 2006, A fast ULV decomposition solver for hierarchically semi-separable representations, SIAM J. Matrix Anal. Appl., 28, 603, 10.1137/S0895479803436652
Chen, 2002, A fast direct algorithm for the Lippmann–Schwinger integral equation in two dimensions, Adv. Comput. Math., 16, 175, 10.1023/A:1014450116300
Chew, 1989, An n2 algorithm for the multiple scattering solution of n scatterers, Micro. Optical Tech. Lett., 2, 380, 10.1002/mop.4650021105
Coifman, 1997
Folland, 1976
Gines, 1998, LU factorization of non-standard forms and direct multiresolution solvers, Appl. Comput. Harmon. Anal., 5, 156, 10.1006/acha.1997.0227
Golub, 1989
Greengard, 1987, A fast algorithm for particle simulations, J. Comput. Phys., 73, 325, 10.1016/0021-9991(87)90140-9
Gu, 1996, Efficient algorithms for computing a strong rank-revealing QR factorization, SIAM J. Sci. Comput., 17, 848, 10.1137/0917055
Hackbusch, 1999, A sparse matrix arithmetic based on H-matrices. I. Introduction to H-matrices, Computing, 62, 89, 10.1007/s006070050015
Hackbusch, 2002, Data-sparse approximation by H2-matrices, Computing, 69, 1, 10.1007/s00607-002-1450-4
Helsing, 2008, Corner singularities for elliptic problems: Integral equations, graded meshes, quadrature, and compressed inverse preconditioning, J. Comput. Phys., 227, 10.1016/j.jcp.2008.06.022
Hrycak, 1998, An improved fast multipole algorithm for potential fields, SIAM J. Sci. Comput., 19, 1804, 10.1137/S106482759630989X
Kellog, 1953
Kenig, 1986, Elliptic boundary value problems on Lipschitz domains, Ann. of Math. Stud., 112, 131
Kress, 1990, A Nyström method for boundary integral equations in domains with corners, Numer. Math., 58, 145, 10.1007/BF01385616
Kress, 1999
Martinsson, 2005, A fast direct solver for boundary integral equations in two dimensions, J. Comput. Phys., 205, 1, 10.1016/j.jcp.2004.10.033
Mikhlin, 1957
Rokhlin, 1983, Rapid solution of integral equations of classical potential theory, J. Comput. Phys., 60, 187, 10.1016/0021-9991(85)90002-6
Starr, 1994, On the numerical solution of two-point boundary value problems II, Comm. Pure Appl. Math., 47, 1117, 10.1002/cpa.3160470806
Stoer, 1993
Verchota, 1984, Layer potentials and boundary value problems for Laplaceʼs equation in Lipschitz domains, J. Funct. Anal., 59, 572, 10.1016/0022-1236(84)90066-1