- Tytuł:
- Newtons iteration with a conjugate gradient based decomposition method for an elliptic PDE with a nonlinear boundary condition
- Autorzy:
- Koko, J.
- Powiązania:
- https://bibliotekanauki.pl/articles/907312.pdf
- Data publikacji:
- 2004
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
metoda Newtona
metoda gradientu sprzężonego
warunek brzegowy nieliniowy
Newton's method
conjugate gradient method
nonlinear PDE - Opis:
- Newton's iteration is studied for the numerical solution of an elliptic PDE with nonlinear boundary conditions. At each iteration of Newton's method, a conjugate gradient based decomposition method is applied to the matrix of the linearized system. The decomposition is such that all the remaining linear systems have the same constant matrix. Numerical results confirm the savings with respect to the computational cost, compared with the classical Newton method with factorization at each step.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2004, 14, 1; 13-18
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł