ISSN:
0945-3245
Keywords:
AMS(MOS)
;
65N30
;
65H10
;
65K10
;
CR: 5.17, 5.15
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary On the efficient solution of nonlinear finite element equations. A fast numerical method is presented for the solution of nonlinear algebraic systems which arise from discretizations of elliptic boundary value problems. A simplified relaxation algorithm which needs no information about the Jacobian of the system is combined with a correspondingly modified conjugate gradient method. A global convergence proof is given and the number of operations required is compared with that of other algorithms which are equally applicable to a large class of problems. Numerical results verify the efficiency for some typical examples.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01396413
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