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Automatically imposing incremental boundary displacements for valid mesh morphing and curving

Author
Ruiz Gironès , E.; Gargallo, A.; Sarrate, J.; Roca, X.
Type of activity
Journal article
Journal
Computer-Aided Design
Date of publication
2019-07
Volume
112
First page
47
Last page
62
DOI
10.1016/j.cad.2019.01.001
Project funding
Integration of new methodologies for the planning and environmental analysis of oilfields
Repository
http://hdl.handle.net/2117/165657 Open in new window
URL
https://www.sciencedirect.com/science/article/pii/S0010448519300028 Open in new window
Abstract
We present a new incremental mesh morphing method obtained by proposing and discretizing a solution procedure for the continuous morphing problem. Our method seeks a diffeomorphism that transforms an initial domain to a final domain by only prescribing the boundary displacement. To this end, we propose to minimize the distortion of the morphing mapping constrained to satisfy the imposed boundary displacement. To solve this problem, we consider an augmented Lagrangian method in Hilbert spaces tha...
Citation
Ruiz Gironès , E. [et al.]. Automatically imposing incremental boundary displacements for valid mesh morphing and curving. "Computer-Aided Design", Juliol 2019, vol. 112, p. 47-62.
Keywords
Augmented lagrangian, Boundary displacements, Mesh curving, Mesh morphing, Mesh moving, Smoothing
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

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