Modeling and Convexity

This reference book gives the reader a complete but comprehensive presentation of the foundations of convex analysis and presents applications to significant situations in engineering. The presentation of the theory is self-contained and the proof of all the essential results is given. The examples consider meaningful situations such as the modeling of curvilinear structures, the motion of a mass of people or the solidification of a material. Non convex situations are considered by means of relaxation methods and the connections between probability and convexity are explored and exploited in order to generate numerical algorithms.

Avainsanat: continuous; curvilinear; introduction; part; applications; system dynamics; flexible; ideally; dynamics; simplified; contact; fusion; model; phase; nonconvex; transition; function; minimization; plasticity, Theory, Modeling & Simulation, Theory, Modeling & Simulation