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Title:	Generation of curved high-order meshes with optimal quality and geometric accuracy
Author:	Ruiz Gironés, Eloi; Sarrate Ramos, Josep; Roca Navarro, Francisco Javier
Other authors:	Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
Abstract:	We present a novel methodology to generate curved high-order meshes featuring optimal mesh quality and geometric accuracy. The proposed technique combines a distortion measure and a geometric L2-disparity measure into a single objective function. While the element distortion term takes into account the mesh quality, the L2-disparity term takes into account the geometric error introduced by the mesh approximation to the target geometry. The proposed technique has several advantages. First, we are not restricted to interpolative meshes and therefore, the resulting mesh approximates the target domain in a non-interpolative way, further increasing the geometric accuracy. Second, we are able to generate a series of meshes that converge to the actual geometry with expected rate while obtaining high-quality elements. Third, we show that the proposed technique is robust enough to handle real-case geometries that contain gaps between adjacent entities.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics -Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional -Strength of materials -Numerical analysis -Curved high-order mesh -non-interpolative mesh -disparity measure -geometric accuracy -distortion measure -Resistència de materials -Anàlisi numèrica -Classificació AMS::65 Numerical analysis::65D Numerical approximation and computational geometry -Classificació AMS::74 Mechanics of deformable solids::74S Numerical methods
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Published version Conference Object
Published by:	Elsevier
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