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Article information
1998 , Volume 3, ¹ 4, p.41-64
Mukhambetzhanov A.T., Otelbayev M.O., Smagulov S.S.
A fictitious domain method for non-linear boundary problems
A new version of the iterational method is suggested for the solution of non-linear boundary problems with the natural limitation (restriction) on the non-linearity, as well as a new modernization of the fictitious domain method.
[full text] Classificator Msc2000:- *35J65 Nonlinear boundary value problems for linear elliptic PDE; boundary value problems for nonlinear elliptic PDE
- 35K55 Nonlinear PDE of parabolic type
- 65M12 Stability and convergence of numerical methods
- 65M55 Multigrid methods; domain decomposition
- 65N12 Stability and convergence of numerical methods
- 65N55 Multigrid methods; domain decomposition
Keywords: nonlinear boundary value problem, convergence, fictitious domain method, iterative method, second-order elliptic equations, second-order parabolic equations
Author(s):
Mukhambetzhanov A.T.
Address: 480012, Kazakhstan, Almatu
E-mail: mexmat@mail.lorton.almaty.kz
Otelbayev MO.
Address: 480012, Kazakhstan, Almatu
Smagulov Shaltai Smagulovich
Position: Professor
Address: 480012, Kazakhstan, Almatu
Phone Office: (3272) 675710
Bibliography link:
Mukhambetzhanov A.T., Otelbayev M.O., Smagulov S.S. A fictitious domain method for non-linear boundary problems // Computational technologies. 1998. V. 3. ¹ 4. P. 41-64
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