A SCHWARZ ALTERNATING METHOD AND ITS CONVERGENCE AND ERROR ESTIMATE FOR ANISOTROPIC ELLIPTIC EXTERIOR PROBLEMS
各向异性外问题的Schwarz 交替法及其收敛性和误差估计

We investigate a Schwarz alternating method based on the natural boundary reduction on the elliptic boundary for the anisotropic elliptic PDEs with constant coefficients in unbounded domains.We prove its geometric iterative convergence with maximum norm in the continuous case by using the maximum principle,and obtain an optimal iteration contract factor,which is independent of the anisotropic degree,by using Fourier analysis with confocal elliptic boundaries.We also prove its geometric convergence in the di...