Sobre la utilización de códigos de elementos finitos basados en mallados cartesianos en optimización estructural

Cartesian grid FEM (cgFEM): High performance h-adaptive FE analysis with efficient error control. Application to structural shape optimization

“…Index K indicates that the quantities are evaluated at element level. For this 6. Error estimation in the recovered solution field problem both results are quite similar, thus E * 3 | K is a good indicator at local level of the error of the recovered solution.…”

“…The information sharing procedures between elements of different meshes for a given geometry or even between different geometries play an important role in this aspect. These information sharing procedures can be easily applied under the structural shape optimization framework, providing a considerable improvement in the computational cost of the optimization process [6], as shown in Chapter 7.…”

“…As the meshing domain Ω E remains the same for all individuals, the sharing information procedures could also be applied between the different geometries during the optimization process. The numerical experiments indicate that this approach considerably reduces the computational cost [6] of the whole optimization process.…”

On the use of stabilization techniques in the Cartesian grid finite element method framework for iterative solvers

“…This sort of problems embraces, among others, those coming from medical images. In that sense, the finite cell method and the Cartesian grid finite element method (cgFEM) have demonstrated their capabilities to deal with these problems …”