Efficient computation of the minimum of shape quality measures on curvilinear finite elements

A Johnen, C Geuzaine, T Toulorge, JF Remacle - Computer-Aided Design, 2018 - Elsevier
We present a method for computing robust shape quality measures defined for finite
elements of any order and any type, including curved pyramids. The measures are …

Quality measures for curvilinear finite elements

A Johnen, C Geuzaine, T Toulorge… - TILDA: Towards Industrial …, 2021 - Springer
We present a method for computing robust shape quality measures defined for finite
elements of any order and any type, including curved pyramids. The measures are …

A Short Note on a Bernstein--Bezier Basis for the Pyramid

J Chan, T Warburton - SIAM Journal on Scientific Computing, 2016 - SIAM
We introduce a Bernstein--Bezier basis for the pyramid, whose restriction to the face reduces
to the Bernstein--Bezier basis on the triangle or quadrilateral. The basis satisfies the …

Indirect quadrangular mesh generation and validation of curved finite elements

A Johnen - 2016 - orbi.uliege.be
Among the different types of 3D finite element meshes, hexahedral meshes present
properties that can be highly desirable, such as alignment with physical features or a lower …

[BOOK][B] Meshing, Geometric Modeling and Numerical Simulation 3: Storage, Visualization and In Memory Strategies

PL George, F Alauzet, A Loseille, L Maréchal - 2020 - books.google.com
Triangulations, and more precisely meshes, are at the heart of many problems relating to a
wide variety of scientific disciplines, and in particular numerical simulations of all kinds of …

[BOOK][B] Maillage, modélisation géométrique et simulation numérique 3: Stockage, transformation, utilisation et visualisation de maillage

PL George, F Alauzet, A Loseille, L Maréchal - 2020 - books.google.com
Les triangulations et plus précisément les maillages sont au coeur de nombreux problèmes
relatifs à des disciplines scientifiques très variées et, en particulier, les simulations …