Newton's iteration with a conjugate gradient based decomposition method for an elliptic PDE with a nonlinear boundary condition

• Autorzy: Koko J.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Newton's method; conjugate gradient method; nonlinear PDE

PL

metoda Newtona; metoda gradientu sprzężonego; warunek brzegowy nieliniowy

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2004
• Tom: Vol. 14, no 1
• Strony: 13--18
• Opis fizyczny: Bibliogr. 11 poz., tab.

Twórcy

autor

Koko J.

• LIMOS, Université Blaise Pascal, CNRS UMR 6158, ISIMA, Campus des Cézeaux – BP 10125, F–63173 Aubière cedex, France

Bibliografia

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