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A Unifying Theory for Nonlinear Additively and Multiplicatively Preconditioned Globalization Strategies: Convergence Results and Examples From the Field of Nonlinear Elastostatics and Elastodynamics
(2009-10-08)
Nonlinear right preconditioned globalization strategies for the solution of nonlinear programming problems of the following kind $u \in \mathcal B \subset \mathbb R^n: J(u) = \min!$ where $\mathcal B$ is a convex set of ...
The Weak Coupling Method for Coupling Continuum Mechanics with Molecular Dynamics
(2009-04-17)
For the global behavior of solids in structural mechanics of nonlinear processes, local effects on the atomistic level play an important role. Often a direct numerical simulation of the macroscopic behavior by a complete ...