Abstract
This paper deals with the numerical solution of three-dimensional equilibrium problems in incompressible finite elasticity on parallel computers. The approximation of the underlying variational problems by appropriate finite-element methods is discussed and an augmented Lagrangian formulation of the resulting discrete systems is given. Starting from this formulation, a combination of a simple gradient method and a block relaxation process is used to obtain an algorithm for the complicated nonlinear problems, which can be implemented on parallel computers in a very efficient way. Several results of numerical experiments on an array processor illustrate the capabilities of the considered methods.
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