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

International Journal of Applied Mathematics and Computer Science (2004)

- Volume: 14, Issue: 1, page 13-18
- ISSN: 1641-876X

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topKoko, Jonas. "Newton's iteration with a conjugate gradient based decomposition method for an elliptic PDE with a nonlinear boundary condition." International Journal of Applied Mathematics and Computer Science 14.1 (2004): 13-18. <http://eudml.org/doc/207673>.

@article{Koko2004,

abstract = {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.},

author = {Koko, Jonas},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {Newton's method; conjugate gradient method; nonlinear PDE},

language = {eng},

number = {1},

pages = {13-18},

title = {Newton's iteration with a conjugate gradient based decomposition method for an elliptic PDE with a nonlinear boundary condition},

url = {http://eudml.org/doc/207673},

volume = {14},

year = {2004},

}

TY - JOUR

AU - Koko, Jonas

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

JO - International Journal of Applied Mathematics and Computer Science

PY - 2004

VL - 14

IS - 1

SP - 13

EP - 18

AB - 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.

LA - eng

KW - Newton's method; conjugate gradient method; nonlinear PDE

UR - http://eudml.org/doc/207673

ER -

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