β Scribed by S.N. Kukudzhanov
No coin nor oath required. For personal study only.
To sum up, 1) for the selfadjoint case the new method is preferable to the m.d. method, since it converges more rapidly for the same volume of computational work; 2) in the non-~elfadjoint case, our series of counter-examples shows that the new method is not to be recommended.
REFERENCES
π SIMILAR VOLUMES
## Abstract Recently BabusΜkaβOh introduced the method of auxiliary mapping (MAM) which efficiently handles elliptic boundary value problems containing singularities. In this paper, a special weighted residue method, the Weighted RitzβGalerkin Method (WRGM), is investigated by introducing special w
Penalty combination of the Ritz~3alerkin and finite difference methods is presented for solving elliptic boundary value problems with singularities. The superconvergence rate, O(h2-~), of solution derivatives by the combination can be achieved while using quasiuniform rectangular difference grids, w
Overall comparisons are made for six efficient combinations of the Ritz-Galerkin and finite element methods for solving elliptic boundary value problems with singularities or interfaces. The comparisons are done by using theoretical analysis and numerical experiments. Significant relations among the