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Article information
2001 , Volume 6, ¹ 2, p.73-83
Grishin A.M., Yakimov A.S.
On one method of solving three-dimensional elliptic equation of a general type
Stable difference schemes with an approximation error in the ordinary sense are obtained on the basis of generalization of iterated-interpolation method for solving three-dimensional elliptic equation of a general type. The convergence of iterative process is investigated with the help of the method of establishing the steady state. The calculation results are given for Poisson equation. The theoretical evaluation of convergence rate is obtained for constant transport coefficients.
[full text] Classificator Msc2000:- *35J25 Boundary value problems for second-order, elliptic equations
- 65N06 Finite difference methods
- 65N12 Stability and convergence of numerical methods
Keywords: elliptic equation, boundary value problem, iterated interpolation method, finite-difference schemes, relaxation method, convergence, stability
Author(s):
Grishin A.M.
Office: Tomsk State University
Address: 634050, Russia, Tomsk, Lenin Ave., 36
E-mail: fire@fire.tsu.tomsk.su
Yakimov A.S.
Address: Russia, Tomsk, Tomsk, Lenin Ave., 36
Bibliography link:
Grishin A.M., Yakimov A.S. On one method of solving three-dimensional elliptic equation of a general type // Computational technologies. 2001. V. 6. ¹ 2. P. 73-83
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