Displaying similar documents to “Weierstrass-type maximum principle for microstructure in micromagnetics.”

Spatially heteroclinic solutions for a semilinear elliptic P.D.E.

Paul H. Rabinowitz (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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This paper uses minimization methods and renormalized functionals to find spatially heteroclinic solutions for some classes of semilinear elliptic partial differential equations

Design-dependent loads in topology optimization

Blaise Bourdin, Antonin Chambolle (2003)

ESAIM: Control, Optimisation and Calculus of Variations

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We present, analyze, and implement a new method for the design of the stiffest structure subject to a pressure load or a given field of internal forces. Our structure is represented as a subset S of a reference domain, and the complement of S is made of two other “phases”, the “void” and a fictitious “liquid” that exerts a pressure force on its interface with the solid structure. The problem we consider is to minimize the compliance of the structure S , which is the total work of the...