Research output: Contribution to journal › Article › peer-review
THE CONSTRUCTION of schemes of the finite-element method of an arbitrary order of accuracy for second-order elliptic equations in arbitrary sufficiently smooth regions is accomplished in such a way that they are spectrally equivalent to the simplest finite difference approximations of the Laplace equation on a uniform orthogonal mesh. This enables us to construct efficient iterative methods for solving these schemes. Iterative methods on sequences of discharging networks, leading to optimal-order estimates of the number of arithmetic operations are also considered. The results obtained lead to the development of economy of schemes of high orders of accuracy.
Original language | English |
---|---|
Pages (from-to) | 109-129 |
Number of pages | 21 |
Journal | USSR Computational Mathematics and Mathematical Physics |
Volume | 17 |
Issue number | 5 |
DOIs | |
State | Published - 1977 |
ID: 86586899