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| Reference : Geometrical Validity of High-Order Triangular Finite Elements |
| Scientific journals : Article | |||
| Engineering, computing & technology : Multidisciplinary, general & others | |||
| http://hdl.handle.net/2268/129806 | |||
| Geometrical Validity of High-Order Triangular Finite Elements | |
| English | |
Johnen, Amaury  [Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE) >] | |
| Remacle, Jean-François [Université Catholique de Louvain - UCL > Institute of Mechanics, Materials and Civil Engineering (iMMC) > Applied mechanics and mathematics (MEMA) > >] | |
| Geuzaine, Christophe [Université de Liège - ULg > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE) >] | |
| In press | |
| Engineering with Computers | |
| International | |
| 0177-0667 | |
| 1435-5663 | |
| [en] Finite element method ; high-order methods ; mesh generation ; Bézier functions ; triangular elements | |
| [en] This paper presents a method to compute accurate bounds on Jacobian
determinants of high-order (curvilinear) triangular nite elements. This method can be used to guarantee that a curvilinear triangle is geometrically valid, i.e., that its Jacobian determinant is strictly positive everywhere in its reference domain. It also provides an e cient way to measure the quality the triangles. The key feature of the method is to expand the Jacobian determinant using a polynomial basis, built using B ezier functions, that has both properties of boundedness and positivity. Numerical results show the sharpness of our estimates. | |
| http://hdl.handle.net/2268/129806 |
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