Article (Scientific journals)
h- and p-adaptivity driven by recovery and residual-based error estimators for PHT-splines applied to time-harmonic acoustics
Videla, Javier; Anitescu, Cosmin; Khajah, Tahsin et al.
2018In Computers and Mathematics with Applications, 77 (9), p. 2369-2395
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Keywords :
PHT-splines; Geometry Independent Field ApproximaTion (GIFT); Time-harmonic acoustics; Helmholtz problem
Abstract :
[en] In this work, we demonstrate the application of PHT-splines for time-harmonic acoustic problems, modeled by the Helmholtz equation. Solutions of the Helmholtz equation have two features: global oscillations associated with the wave number and local gradients caused by geometrical irregularities. We show that after a sufficient number of degrees of freedom is used to approximate global oscillations, adaptive refinement can capture local features of the solution. We compare residual-based and recovery-based error estimators and investigate the performance of -refinement. The simulations are done in the context of recently introduced Geometry Independent Field approximaTion (GIFT), where PHT-splines are only used to approximate the solution, while the computational domain is parameterized with NURBS. This approach builds on the natural adaptation ability of PHT-splines and avoids the re-parameterization of the NURBS geometry during the solution refinement process.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Videla, Javier;  University of Chile, Santiago 8370448, Chile > Department of Mechanical Engineering
Anitescu, Cosmin;  Institute of Structural Mechanics, Bauhaus-Universität, Weimar, Marienstraße, 15 99423 Weimar, Germany
Khajah, Tahsin;  University of Texas at Tyler, USA > Department of Mechanical Engineering
Bordas, Stéphane ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit ; Institute of Mechanics and Advanced Materials, School of Engineering, Cardiff University, United Kingdom
Atroshchenko, Elena;  University of Chile, Santiago 8370448, ChileUniversity of Chile, Santiago 8370448, Chile > Department of Mechanical Engineering
External co-authors :
yes
Language :
English
Title :
h- and p-adaptivity driven by recovery and residual-based error estimators for PHT-splines applied to time-harmonic acoustics
Publication date :
16 December 2018
Journal title :
Computers and Mathematics with Applications
ISSN :
1873-7668
Publisher :
Elsevier, Oxford, United Kingdom
Volume :
77
Issue :
9
Pages :
2369-2395
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
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