Abstract
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.
Original language | English (US) |
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Pages (from-to) | 277-291 |
Number of pages | 15 |
Journal | Numerische Mathematik |
Volume | 35 |
Issue number | 3 |
DOIs | |
State | Published - Sep 1 1980 |
Externally published | Yes |
Keywords
- Subject Classifications: AMS(MOS), 65N30, 65H10, 65K10, CR: 5.17, 5.15
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics