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Article information
2004 , Volume 9, ¹ 4, p.3-14
Petrovskaya N.B.
Grid Refinement Analysis for Vector Functions
We consider grid adaptation based on an interpolation error estimate for the solution to a system of ordinary differential equations. Dealing with the interpolation error estimates, the adaptation to a vector solution is of particular interest. The problem involves the issue of the choice of a scalar key function for the adaptation. In our paper an effective technique is developed to analyze the standard refinement algorithm.
[full text] Classificator Msc2000:- *65L10 Boundary value problems
- 65L50 Mesh generation and refinement
- 65L70 Error bounds
Keywords: boundary value problem, system of ordinary differential equations, grid element, grid adaptation
Author(s):
Petrovskaya Natalia Borisovna
PhD.
Position: Research Scientist
Office: Keldysh Institute for Applied Mathematics RAS
Address: Russia, Moscow
Phone Office: (095) 363 64 53
E-mail: PetrovskayaN@yandex.ru
Bibliography link:
Petrovskaya N.B. Grid Refinement Analysis for Vector Functions // Computational technologies. 2004. V. 9. ¹ 4. P. 3-14
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