Simultaneous untangling and smoothing of tetrahedral meshes

JM Escobar, E Rodrıguez, R Montenegro… - Computer Methods in …, 2003 - Elsevier
The quality improvement in mesh optimisation techniques that preserve its connectivity are
obtained by an iterative process in which each node of the mesh is moved to a new position …

[HTML][HTML] Разработка и реализация алгоритмов трехмерной триангуляции сложных пространственных областей: прямые методы

МП Галанин, ИА Щеглов - МВ Келдыша Рос. акад. наук. М, 2006 - keldysh.ru
Аннотация Рассмотрены итерационные методы трехмерной дискретизации
пространственных областей (построения тетраэдрических сеток): методы граничной …

Computations of form and stability of rotating drops with finite elements

CJ Heine - IMA journal of numerical analysis, 2006 - ieeexplore.ieee.org
We consider the numerical computation of equilibrium shapes of rotating drops and their
bifurcations, depending on the angular velocity. The drops are subject to centrifugal forces …

A parallel log-barrier method for mesh quality improvement and untangling

SP Sastry, SM Shontz - Engineering with Computers, 2014 - Springer
The development of parallel algorithms for mesh generation, untangling, and quality
improvement is of high importance due to the need for large meshes with millions to billions …

Quasiconvex programming

D Eppstein - arxiv preprint cs/0412046, 2004 - arxiv.org
We define quasiconvex programming, a form of generalized linear programming in which
one seeks the point minimizing the pointwise maximum of a collection of quasiconvex …

Estimating shapes and free surfaces with electrical impedance tomography

OP Tossavainen, M Vauhkonen… - Measurement …, 2004 - iopscience.iop.org
Electrical impedance tomography (EIT) is a diffuse imaging modality in which the resistivity
distribution inside the object is estimated based on electrical measurements made on the …

Tetrahedral mesh generation for environmental problems over complex terrains

R Montenegro, G Montero, JM Escobar… - International Conference …, 2002 - Springer
In the finite element simulation of environmental processes that occur in a three-dimensional
domain defined over an irregular terrain, a mesh generator capable of adapting itself to the …

Quality tetrahedral mesh smoothing via boundary-optimized Delaunay triangulation

Z Gao, Z Yu, M Holst - Computer aided geometric design, 2012 - Elsevier
Despite its great success in improving the quality of a tetrahedral mesh, the original optimal
Delaunay triangulation (ODT) is designed to move only inner vertices and thus cannot …

Towards high-quality, untangled meshes via a force-directed graph embedding approach

S Bhowmick, SM Shontz - Procedia Computer Science, 2010 - Elsevier
High quality meshes are crucial for the solution of partial differential equations (PDEs) via
the finite element method (or other PDE solvers). The accuracy of the PDE solution, and the …

Smoothing and local refinement techniques for improving tetrahedral mesh quality

JM Escobar, R Montenegro, G Montero… - Computers & …, 2005 - Elsevier
The improvement in the mesh quality without changing its connectivity is bounded. This
bound is associated with the topology of the mesh and with the constraints imposed by the …