- understand and analyse basic models of continuum mechanics;
- select appropriate discretization methods for the resulting systems of differential equations;
- assess the stability, accuracy and computational costs of the discretization schemes;
- implement the proposed methods on a computer and verify their behavior;
- study efficient solvers for linear and nonlinear systems arising in continuum mechanics.
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equations of linearized elasticity; weak formulations; Korn's inequality;
Lax-Milgram lemma; Babuska-Aziz and Brezzi theorems; mixed finite element methods; iterative solvers.
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