Reference : h- and p-adaptivity driven by recovery and residual-based error estimators for PHT-sp...
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
http://hdl.handle.net/10993/41934
h- and p-adaptivity driven by recovery and residual-based error estimators for PHT-splines applied to time-harmonic acoustics
English
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 mailto [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 mailto [University of Chile, Santiago 8370448, ChileUniversity of Chile, Santiago 8370448, Chile > Department of Mechanical Engineering]
16-Dec-2018
Computers and Mathematics with Applications
Elsevier
77
9
2369-2395
Yes (verified by ORBilu)
International
0898-1221
1873-7668
Oxford
United Kingdom
[en] PHT-splines ; Geometry Independent Field ApproximaTion (GIFT) ; Time-harmonic acoustics ; Helmholtz problem
[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.
Researchers ; Professionals ; Students ; General public ; Others
http://hdl.handle.net/10993/41934
10.1016/j.camwa.2018.12.026

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