Quasiconvexification in W 1,1 and optimal jump microstructure in BV relaxation

Relaxation in BV versus quasiconvexification in W1,p : a model for the interaction between fracture and damage

Optimal Design under the One-dimensional Wave Equation

An optimal design problem governed by the wave equation is examined in detail. Specifically, we seek the time-dependent optimal layout of two isotropic materials on a 1-d domain by minimizing a functional depending quadratically on the gradient of the state with coefficients that may depend on space, time and design. As it is typical in this kind of problems, they are ill-posed in the sense tha...

Fully Explicit Quasiconvexification of the Mean-square Deviation of the Gradient of the State in Optimal Design

We explicitly compute the quasiconvexification of the resulting integrand associated with the mean-square deviation of the gradient of the state with respect to a given target field, when the underlying optimal design problem in conductivity is reformulated as a purely variational problem. What is remarkable, more than the formula itself, is the fact that it can be shown to be the full quasicon...

Optimizing the actuation of musculoskeletal model by genetic algorithm to simulate the vertical jump

In human body movement simulation such as vertical jump by a forward dynamic model, optimal control theories must be used. In the recent years, new methods were created for solving optimization problems which they were adopted from animal behaviors and environment events such as Genetic algorithm, Particle swarm and Imperialism competitive. In this work, the skeletal model was constructed by Ne...

Natural Kaolin supported sulfuric acid as an efficient catalyst for the preparation of 1, 1-diacetates under solvent-free conditions

A facile and efficient method for the preparation of 1,1-diacetates of aldehydes is improved. The acidified kaolin with sulfuric acid (2 % w/w) catalyzed 1,1-diacetates formation from aldehydes in solvent-free conditions. Both aromatic and aliphatic aldehydes gave high yields (85-95 %) of the corresponding 1, 1-diacetates. Advantages of this method are the use of inexpensive and selective catal...