Approximation of the capillarity problem by an augmented lagrangian method
Copyright policy )Approximation of the capillarity problem by an augmented lagrangian method
The author proposes an algorithm to compute an approximation of capillary surfaces in a gravitational field. The algorithm is based on a decomposition-coordination method by augmented Lagrangians and the discretization is done using the finite element method. The convergence of the algorithm and the discretization error for the axisymmetric case are studied. Some numerical results are given.
Numerical optimization and variational techniques, numerical examples, Optimization of shapes other than minimal surfaces, algorithm, convergence, finite element method, capillary surfaces, Newton-type methods, gravitational field, decomposition-coordination method
Numerical optimization and variational techniques, numerical examples, Optimization of shapes other than minimal surfaces, algorithm, convergence, finite element method, capillary surfaces, Newton-type methods, gravitational field, decomposition-coordination method
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