The construction of some efficient preconditioners in the boundary element method
作者： O. Steinbach , W.L. Wendland
关键词: Boundary knot method 、 Neumann boundary condition 、 Mathematics 、 Mixed boundary condition 、 Boundary element method 、 Robin boundary condition 、 Boundary value problem 、 Discretization 、 Mathematical analysis 、 Poincaré–Steklov operator
摘要: … preconditioner also arbitrary (ill-shaped) boundary elements (eg, triangles for n = 3) are allowed; however, to ensure the approximation property (1.6) and therefore the convergence of …
springer.com
elsevier.com
sci-hub.se 参考文章(25)
Olaf Steinbach, Fast Solvers for the Symmetric Boundary Element Method Vieweg+Teubner Verlag. pp. 232- 242 ,(1996) , 10.1007/978-3-322-89941-5_19
H. Bückner, Die praktische Behandlung von Integral-Gleichungen The Mathematical Gazette. ,vol. 37, pp. 235- ,(1952) , 10.1007/978-3-662-01394-6
Evgeniy Nikolaev, Numerical Methods for Grid Equations LLC MAKS Press. ,(2018) , 10.29003/M134.978-5-317-05847-0
S. Rjasanow, Effective Iterative Solution Methods for Boundary Element Equations Springer, Dordrecht. pp. 889- 899 ,(1991) , 10.1007/978-94-011-3696-9_70
B. Heise, M. Kuhn, Parallel Solvers for Linear and Nonlinear Exterior Magnetic Field Problems Based upon Coupled FE/BE Formulations* Computing. ,vol. 56, pp. 237- 258 ,(1996) , 10.1007/BF02238514
A. Meyer, S. Rjasanow, An effective direct solution method for certain boundary element equations in 3D Mathematical Methods in the Applied Sciences. ,vol. 13, pp. 43- 53 ,(1990) , 10.1002/MMA.1670130105
W. Hackbusch, Z. P. Nowak, On the fast matrix multiplication in the boundary element method by panel clustering Numerische Mathematik. ,vol. 54, pp. 463- 491 ,(1989) , 10.1007/BF01396324
Sergio Sirtori, General stress analysis method by means of integral equations and boundary elements Meccanica. ,vol. 14, pp. 210- 218 ,(1979) , 10.1007/BF02128438
Yi Yan, Sparse preconditioned iterative methods for dense linear systems SIAM Journal on Scientific Computing. ,vol. 15, pp. 1190- 1200 ,(1994) , 10.1137/0915073
T. von Petersdorff, E. P. Stephan, On the convergence of the multigrid method for a hypersingular integral equation of the first kind Numerische Mathematik. ,vol. 57, pp. 379- 391 ,(1990) , 10.1007/BF01386417