A fast multipole boundary element method for a modified hypersingular boundary integral equation
作者： Günther Of , Olaf Steinbach
DOI: 10.1007/978-3-540-36527-3_17
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摘要: For the solution of a Neumann boundary value problem we consider modified hypersingular integral equation which reflects solvability and scaling conditions non-unique problem. Galerkin discretization elliptic variational describe an efficient element approach is based on fast multipole method for single layer potential. In same way, preconditioner resulting linear system constructed.
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O. Steinbach, W.L. Wendland, The construction of some efficient preconditioners in the boundary element method Advances in Computational Mathematics. ,vol. 9, pp. 191- 216 ,(1998) , 10.1023/A:1018937506719
Olaf Steinbach, Stability Estimates for Hybrid Coupled Domain Decomposition Methods ,(2002)
Michel Artola, Jacques Louis Lions, John C. Amson, Robert Dautray, Integral equations and numerical methods Springer-Verlag. ,(2000)
Vidar Thomée, Albert H Schatz, Wolfgang L. Wendland, Mathematical theory of finite and boundary element methods ,(1990)
William Charles Hector McLean, Strongly Elliptic Systems and Boundary Integral Equations ,(2000)
U. Langer, O. Steinbach, Boundary Element Tearing and Interconnecting Methods Computing. ,vol. 71, pp. 205- 228 ,(2003) , 10.1007/S00607-003-0018-2
L Greengard, V Rokhlin, A fast algorithm for particle simulations Journal of Computational Physics. ,vol. 73, pp. 325- 348 ,(1987) , 10.1016/0021-9991(87)90140-9
W. L. Wendland, Olaf Steinbach, A fast boundary element method for the symmetric boundary integral formulation pp. 1- 1 ,(2002)
Jacques-Louis Lions, Robert Dautray, Mathematical Analysis and Numerical Methods for Science and Technology: Volume 4 Integral Equations and Numerical Methods ,(2011)
Jacques-Louis Lions, Robert Dautray, Mathematical analysis and numerical methods for science and technology manm. ,(1993)