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Bibliography

Journal Article

An efficient approach to the numerical solution of rate-independent problems with nonconvex energies

Bartels S., Kružík Martin

: Multiscale Modeling and Simulation vol.9, 3 (2011), p. 1275-1300

: CEZ:AV0Z10750506

: IAA100750802, GA AV ČR, GAP201/10/0357, GA ČR

: numerical solution, nonconvexity

: 10.1137/110821718

: http://library.utia.cas.cz/separaty/2011/MTR/kruzik-0364707.pdf

(eng): We propose a new approach to the numerical treatment of non(quasi)convex rate-independent evolutionary problems. The main idea is to replace the original microscopic energy density by its polyconvexification. For this problem, first-order optimality conditions are derived and used in finding a discrete solution. The effectiveness of the method is illustrated with some numerical experiments.

: BA