Note on the paper “a variational-difference method of solving the first boundary value problem for a biharmonic equation on a regular grid”
✍ Scribed by L.A. Oganesyan
- Publisher
- Elsevier Science
- Year
- 1973
- Weight
- 91 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0041-5553
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## Communicated by W. Spro¨ßig In this paper, we study a system of biharmonic equations coupled by the boundary conditions. These boundary conditions contain some combinations of the values, div, curl, and grad. Applications in mathematical physics are possible and the investigations will be done
A method for accelerating the convergence of iterative processes on a sequence of grids is proposed, which makes use of the decomposition of the difference solution into powers of the discretization step. Approximation solutions from a number of auxiliary grids are extrapolated to the exact solution