Pii: S0378-4754(02)00084-8

Optimization of SMES and superconducting magnets with a derivative free deterministic method

This article presents a constrained optimization method, based on the duality theory, which does not need the gradients. The method is used to optimize superconducting devices. In order to reduce the computing effort, the initial optimization problem is divided into two coupled optimization problems. One manages the geometrical parameters, the other finds the best current densities for a given ...

Stability of discretizations of the Stokes problem on anisotropic meshes

Abstra t Anisotropi features of the solution of ow problems are usually approximated on anisotropi (large aspe t ratio) meshes. This paper reviews stability results of several velo ity-pressure pairs with respe t to growing aspe t ratio of the elements in the mesh. For further pairs numeri al tests are des ribed. Related results are mentioned.

An automatic code generator for nonuniform random variate generation

Solution of a semi-coercive contact problem in a non-linear thermo-elastic rheology

Mathematical model of the male urinary tract

The paper presents a simplified (but not trivial) mathematical model of the interaction between the urine flow and the male urethra and bladder, respectively. Urine is assumed to be a Newtonian fluid. The flow is considered to be non-stationary, isothermal and turbulent. The urethra and bladder wall, featuring elastic properties, experience large displacements and strains. The dynamic forces ar...