Fast direct methods of solving finite-element grid schemes with bicubic elements for the Poisson equation
β Scribed by S. I. Solov'ev
- Publisher
- Springer US
- Year
- 1994
- Tongue
- English
- Weight
- 219 KB
- Volume
- 71
- Category
- Article
- ISSN
- 1573-8795
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## Abstract A hybrid approach for solving the nonlinear PoissonβBoltzmann equation (PBE) is presented. Under this approach, the electrostatic potential is separated into (1) a linear component satisfying the linear PBE and solved using a fast boundary element method and (2) a correction term accoun
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