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Article information
2001 , Volume 6, ¹ 6, p.93-107
Smagulov S.S., Otelbayev M.O.
About new method of approximate solutions of nonlinear equations in arbitrary domain
The new method of approximate solutions of nonlinear boundary value problems of elliptic type in complicated domains is suggested. The variational principle is formulated, where the minimum of functional gives the approximate solution of original problem. The algorithm for determination of functional minimum is developed. The convergence theorem for solutions of the suggested algorithm is proved.
[full text] Classificator Msc2000:- *35J25 Boundary value problems for second-order, elliptic equations
- 65N12 Stability and convergence of numerical methods
- 65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
Keywords: fictitious domain method, Green function, embedding theorem, Dirichlet problem, Cauchy problem, nonlinear elliptic equation, variational method, boundary value problems, algorithm, convergence
Author(s):
Smagulov Shaltai Smagulovich
Position: Professor
Address: 480012, Kazakhstan, Almatu
Phone Office: (3272) 675710
Otelbayev MO.
Address: 480012, Kazakhstan, Almatu
Bibliography link:
Smagulov S.S., Otelbayev M.O. About new method of approximate solutions of nonlinear equations in arbitrary domain // Computational technologies. 2001. V. 6. ¹ 6. P. 93-107
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