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Defining a stretching and alignment aware quality measure for linear and curved 2D meshes

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10.1007/978-3-030-13992-6_3
 
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hdl:2117/188031

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Aparicio Estrems, GuillermoMés informacióMés informació
Gargallo Peiró, AbelMés informacióMés informacióMés informació
Roca Navarro, Francisco Javier
Document typeConference report
Defense date2018
PublisherSpringer
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
ProjectTesseract - Best Curved Adapted Meshes for Space-Time Flow Simulations (EC-H2020-715546)
Abstract
We define a regularized shape distortion (quality) measure for curved high-order 2D elements on a Riemannian plane. To this end, we measure the deviation of a given 2D element, straight-sided or curved, from the stretching and alignment determined by a target metric. The defined distortion (quality) is suitable to check the validity and the quality of straight-sided and curved elements on Riemannian planes determined by constant and point-wise varying metrics. The examples illustrate that the distortion can be minimized to curve (deform) the elements of a given high-order (linear) mesh and try to match with curved (linear) elements the point-wise alignment and stretching of an analytic target metric tensor.
CitationAparicio, G.; Gargallo, A.; Roca, X. Defining a stretching and alignment aware quality measure for linear and curved 2D meshes. A: International Meshing Roundtable. "27th International Meshing Roundtable". Berlín: Springer, 2018, p. 37-55. 
URIhttp://hdl.handle.net/2117/188031
DOI10.1007/978-3-030-13992-6_3
ISBN978-3-030-13992-6
Publisher versionhttps://link.springer.com/chapter/10.1007/978-3-030-13992-6_3
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