Mesh optimization: some results in 3D elasticity

Mesh Optimization: Some Results in 3d Elasticity

Though the mathematical theory of classical linear elasticity is well established, there still lack some ingredients toward the numerical solution of real technological problems. In this paper we address one of these critical ingredients, namely the automatic construction of three-dimensional meshes in arbitrary geometries. Several methods exist for this purpose, but further improvements are st...

Some computational results for robust FETI-DP methods applied to heterogeneous elasticity problems in 3D

Robust FETI-DP methods for heterogeneous, linear elasticity problems in three dimensions were developed and analyzed in Klawonn and Widlund [2004]. For homogeneous problems or materials with only small jumps in the Young moduli, the primal constraints can be chosen as edge averages of the displacement components over well selected edges; see Klawonn and Widlund [2004] and for numerical experime...

Bayesian Stochastic Mesh Optimization for 3D reconstruction

We describe a mesh based approach to the problem of structure from motion. The input to the algorithm is a small set of images, sparse noisy feature correspondences (such as those provided by a Harris corner detector and cross correlation) and the camera geometry plus calibration. The output is a 3D mesh, that when projected onto each view, is visually consistent with the images. There are two ...

3D BENCHMARK RESULTS FOR ROBUST STRUCTURAL OPTIMIZATION UNDER UNCERTAINTY IN LOADING DIRECTIONS

This study has been inspired by the paper "An efficient 3D topology optimization code written in MATLAB” written by Liu and Tovar (2014) demonstrating that SIMP-based three-dimensional (3D) topology optimization of continuum structures can be implemented in 169 lines of MATLAB code. Based on the above paper, we show here that, by simple and easy-to-understand modificati...

Some Results on Necessary Conditions for Tow Quasidifferentiable Optimization Problems