Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 131-144 |
| Seitenumfang | 14 |
| Fachzeitschrift | Computer Methods in Applied Mechanics and Engineering |
| Jahrgang | 54 |
| Ausgabenummer | 2 |
| Publikationsstatus | Veröffentlicht - Feb. 1986 |
| Extern publiziert | Ja |
Abstract
The merits and limitations of some existing procedures for the solution of contact problems, modeled by the finite element method, are examined. Based on the Lagrangian multiplier method, a partitioning scheme can be used to obtain a small system of equation for the Lagrange multipliers which is then solved by the conjugate gradient method. A two-level contact algorithm is employed which first linearizes the nonlinear contact problem to obtain a linear contact problem that is in turn solved by the Newton method. The performance of the algorithm compared to some existing procedures is demonstrated on some test problems.
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in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 54, Nr. 2, 02.1986, S. 131-144.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - A two-level iteration method for solution of contact problems
AU - Nour-Omid, Bahram
AU - Wriggers, Peter
PY - 1986/2
Y1 - 1986/2
N2 - The merits and limitations of some existing procedures for the solution of contact problems, modeled by the finite element method, are examined. Based on the Lagrangian multiplier method, a partitioning scheme can be used to obtain a small system of equation for the Lagrange multipliers which is then solved by the conjugate gradient method. A two-level contact algorithm is employed which first linearizes the nonlinear contact problem to obtain a linear contact problem that is in turn solved by the Newton method. The performance of the algorithm compared to some existing procedures is demonstrated on some test problems.
AB - The merits and limitations of some existing procedures for the solution of contact problems, modeled by the finite element method, are examined. Based on the Lagrangian multiplier method, a partitioning scheme can be used to obtain a small system of equation for the Lagrange multipliers which is then solved by the conjugate gradient method. A two-level contact algorithm is employed which first linearizes the nonlinear contact problem to obtain a linear contact problem that is in turn solved by the Newton method. The performance of the algorithm compared to some existing procedures is demonstrated on some test problems.
UR - http://www.scopus.com/inward/record.url?scp=0022660381&partnerID=8YFLogxK
U2 - 10.1016/0045-7825(86)90122-2
DO - 10.1016/0045-7825(86)90122-2
M3 - Article
AN - SCOPUS:0022660381
VL - 54
SP - 131
EP - 144
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
IS - 2
ER -