In this paper, based on the natural boundary reduction suggested by Feng and Yu,an overlapping domain decomposition method for harmonic boundary value problerns on the unbounded sector domain or the unbounded cracked ...In this paper, based on the natural boundary reduction suggested by Feng and Yu,an overlapping domain decomposition method for harmonic boundary value problerns on the unbounded sector domain or the unbounded cracked domain is discussed. The numerical examples show that this discrete Schwarz iteration is geometric convergent.And the convergence rate of this method is independent of the finite element mesh size,but dependent on the frequency of the exact solution and the overlaPping degree of thesubdomains.展开更多
文摘In this paper, based on the natural boundary reduction suggested by Feng and Yu,an overlapping domain decomposition method for harmonic boundary value problerns on the unbounded sector domain or the unbounded cracked domain is discussed. The numerical examples show that this discrete Schwarz iteration is geometric convergent.And the convergence rate of this method is independent of the finite element mesh size,but dependent on the frequency of the exact solution and the overlaPping degree of thesubdomains.
