The Shifted Boundary Method in Isogeometric Analysis

Antonelli, Nicolò; Aristio, Ricky; Gorgi, Andrea; Zorrilla, Rubén; Rossi, Riccardo; Scovazzi, Guglielmo; Wüchner, Roland

doi:10.1016/j.cma.2024.117228

Title: The Shifted Boundary Method in Isogeometric Analysis

Journal Article · 01 October 2024 · Computer Methods in Applied Mechanics and Engineering

DOI: https://doi.org/10.1016/j.cma.2024.117228 · OSTI ID:2433891

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; Wüchner, Roland

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Sponsoring Organization:: USDOE

OSTI ID:: 2433891

Journal Information:: Computer Methods in Applied Mechanics and Engineering, Journal Name: Computer Methods in Applied Mechanics and Engineering Journal Issue: C Vol. 430; ISSN 0045-7825

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

References (41)

The shifted boundary method for solid mechanics Atallah, Nabil M.; Canuto, Claudio; Scovazzi, Guglielmo International Journal for Numerical Methods in Engineering, Vol. 122, Issue 20 https://doi.org/10.1002/nme.6779	journal	July 2021
Isogeometric Fluid–structure Interaction Analysis with Applications to Arterial Blood Flow Bazilevs, Y.; Calo, V. M.; Zhang, Y. Computational Mechanics, Vol. 38, Issue 4-5 https://doi.org/10.1007/s00466-006-0084-3	journal	June 2006
Finite cell method: h- and p-extension for embedded domain problems in solid mechanics Parvizian, Jamshid; Düster, Alexander; Rank, Ernst Computational Mechanics, Vol. 41, Issue 1 https://doi.org/10.1007/s00466-007-0173-y	journal	April 2007
An Object-oriented Environment for Developing Finite Element Codes for Multi-disciplinary Applications Dadvand, Pooyan; Rossi, Riccardo; Oñate, Eugenio Archives of Computational Methods in Engineering, Vol. 17, Issue 3 https://doi.org/10.1007/s11831-010-9045-2	journal	July 2010
On calculating with B-splines de Boor, Carl Journal of Approximation Theory, Vol. 6, Issue 1 https://doi.org/10.1016/0021-9045(72)90080-9	journal	July 1972
THB-splines: The truncated basis for hierarchical splines Giannelli, Carlotta; Jüttler, Bert; Speleers, Hendrik Computer Aided Geometric Design, Vol. 29, Issue 7 https://doi.org/10.1016/j.cagd.2012.03.025	journal	October 2012
Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement Hughes, T. J. R.; Cottrell, J. A.; Bazilevs, Y. Computer Methods in Applied Mechanics and Engineering, Vol. 194, Issue 39-41 https://doi.org/10.1016/j.cma.2004.10.008	journal	October 2005
Isogeometric analysis of structural vibrations Cottrell, J. A.; Reali, A.; Bazilevs, Y. Computer Methods in Applied Mechanics and Engineering, Vol. 195, Issue 41-43 https://doi.org/10.1016/j.cma.2005.09.027	journal	August 2006
Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow Zhang, Yongjie; Bazilevs, Yuri; Goswami, Samrat Computer Methods in Applied Mechanics and Engineering, Vol. 196, Issue 29-30 https://doi.org/10.1016/j.cma.2007.02.009	journal	May 2007
Studies of refinement and continuity in isogeometric structural analysis Cottrell, J. A.; Hughes, T. J. R.; Reali, A. Computer Methods in Applied Mechanics and Engineering, Vol. 196, Issue 41-44 https://doi.org/10.1016/j.cma.2007.04.007	journal	September 2007
Isogeometric analysis for trimmed CAD surfaces Kim, Hyun-Jung; Seo, Yu-Deok; Youn, Sung-Kie Computer Methods in Applied Mechanics and Engineering, Vol. 198, Issue 37-40 https://doi.org/10.1016/j.cma.2009.05.004	journal	August 2009
Isogeometric shell analysis: The Reissner–Mindlin shell Benson, D. J.; Bazilevs, Y.; Hsu, M. C. Computer Methods in Applied Mechanics and Engineering, Vol. 199, Issue 5-8 https://doi.org/10.1016/j.cma.2009.05.011	journal	January 2010
Isogeometric shell analysis with Kirchhoff–Love elements Kiendl, J.; Bletzinger, K. -U.; Linhard, J. Computer Methods in Applied Mechanics and Engineering, Vol. 198, Issue 49-52 https://doi.org/10.1016/j.cma.2009.08.013	journal	November 2009
An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces Schillinger, Dominik; Dedè, Luca; Scott, Michael A. Computer Methods in Applied Mechanics and Engineering, Vol. 249-252 https://doi.org/10.1016/j.cma.2012.03.017	journal	December 2012
Isogeometric analysis of trimmed NURBS geometries Schmidt, Robert; Wüchner, Roland; Bletzinger, Kai-Uwe Computer Methods in Applied Mechanics and Engineering, Vol. 241-244 https://doi.org/10.1016/j.cma.2012.05.021	journal	October 2012
Geometric modeling, isogeometric analysis and the finite cell method Rank, E.; Ruess, M.; Kollmannsberger, S. Computer Methods in Applied Mechanics and Engineering, Vol. 249-252 https://doi.org/10.1016/j.cma.2012.05.022	journal	December 2012
Analysis in computer aided design: Nonlinear isogeometric B-Rep analysis of shell structures Breitenberger, M.; Apostolatos, A.; Philipp, B. Computer Methods in Applied Mechanics and Engineering, Vol. 284 https://doi.org/10.1016/j.cma.2014.09.033	journal	February 2015
An immersogeometric variational framework for fluid–structure interaction: Application to bioprosthetic heart valves Kamensky, David; Hsu, Ming-Chen; Schillinger, Dominik Computer Methods in Applied Mechanics and Engineering, Vol. 284 https://doi.org/10.1016/j.cma.2014.10.040	journal	February 2015
Immersogeometric cardiovascular fluid–structure interaction analysis with divergence-conforming B-splines Kamensky, David; Hsu, Ming-Chen; Yu, Yue Computer Methods in Applied Mechanics and Engineering, Vol. 314 https://doi.org/10.1016/j.cma.2016.07.028	journal	February 2017
Blended B-spline construction on unstructured quadrilateral and hexahedral meshes with optimal convergence rates in isogeometric analysis Wei, Xiaodong; Zhang, Yongjie Jessica; Toshniwal, Deepesh Computer Methods in Applied Mechanics and Engineering, Vol. 341 https://doi.org/10.1016/j.cma.2018.07.013	journal	November 2018
Seamless integration of design and Kirchhoff–Love shell analysis using analysis-suitable unstructured T-splines Casquero, Hugo; Wei, Xiaodong; Toshniwal, Deepesh Computer Methods in Applied Mechanics and Engineering, Vol. 360 https://doi.org/10.1016/j.cma.2019.112765	journal	March 2020
An embedded Finite Element framework for the resolution of strongly coupled Fluid–Structure Interaction problems. Application to volumetric and membrane-like structures Zorrilla, R.; Rossi, R.; Wüchner, R. Computer Methods in Applied Mechanics and Engineering, Vol. 368 https://doi.org/10.1016/j.cma.2020.113179	journal	August 2020
The second-generation Shifted Boundary Method and its numerical analysis Atallah, Nabil M.; Canuto, Claudio; Scovazzi, Guglielmo Computer Methods in Applied Mechanics and Engineering, Vol. 372 https://doi.org/10.1016/j.cma.2020.113341	journal	December 2020
Linking ghost penalty and aggregated unfitted methods Badia, Santiago; Neiva, Eric; Verdugo, Francesc Computer Methods in Applied Mechanics and Engineering, Vol. 388 https://doi.org/10.1016/j.cma.2021.114232	journal	January 2022
The high-order Shifted Boundary Method and its analysis Atallah, Nabil M.; Canuto, Claudio; Scovazzi, Guglielmo Computer Methods in Applied Mechanics and Engineering, Vol. 394 https://doi.org/10.1016/j.cma.2022.114885	journal	May 2022
U-splines: Splines over unstructured meshes Thomas, Derek C.; Engvall, Luke; Schmidt, Steven K. Computer Methods in Applied Mechanics and Engineering, Vol. 401 https://doi.org/10.1016/j.cma.2022.115515	journal	November 2022
Efficient CAD-integrated isogeometric analysis of trimmed solids Meßmer, Manuel; Teschemacher, Tobias; Leidinger, Lukas F. Computer Methods in Applied Mechanics and Engineering, Vol. 400 https://doi.org/10.1016/j.cma.2022.115584	journal	October 2022
Isogeometric analysis using G-spline surfaces with arbitrary unstructured quadrilateral layout Wen, Zuowei; Faruque, Md. Sadman; Li, Xin Computer Methods in Applied Mechanics and Engineering, Vol. 408 https://doi.org/10.1016/j.cma.2023.115965	journal	April 2023
A penalty-free Shifted Boundary Method of arbitrary order Collins, J. Haydel; Lozinski, Alexei; Scovazzi, Guglielmo Computer Methods in Applied Mechanics and Engineering, Vol. 417 https://doi.org/10.1016/j.cma.2023.116301	journal	December 2023
A shifted boundary method based on extension operators Zorrilla, Rubén; Rossi, Riccardo; Scovazzi, Guglielmo Computer Methods in Applied Mechanics and Engineering, Vol. 421 https://doi.org/10.1016/j.cma.2024.116782	journal	March 2024
Migration of a generic multi-physics framework to HPC environments Dadvand, P.; Rossi, R.; Gil, M. Computers & Fluids, Vol. 80 https://doi.org/10.1016/j.compfluid.2012.02.004	journal	July 2013
Ghost penalty Burman, Erik Comptes Rendus Mathematique, Vol. 348, Issue 21-22 https://doi.org/10.1016/j.crma.2010.10.006	journal	November 2010
The shifted boundary method for embedded domain computations. Part I: Poisson and Stokes problems Main, A.; Scovazzi, G. Journal of Computational Physics, Vol. 372 https://doi.org/10.1016/j.jcp.2017.10.026	journal	November 2018
The shifted boundary method for embedded domain computations. Part II: Linear advection–diffusion and incompressible Navier–Stokes equations Main, A.; Scovazzi, G. Journal of Computational Physics, Vol. 372 https://doi.org/10.1016/j.jcp.2018.01.023	journal	November 2018
Analysis of the shifted boundary method for the Poisson problem in domains with corners Atallah, Nabil; Canuto, Claudio; Scovazzi, Guglielmo Mathematics of Computation, Vol. 90, Issue 331 https://doi.org/10.1090/mcom/3641	journal	May 2021
The Numerical Evaluation of B -Splines Cox, M. G. IMA Journal of Applied Mathematics, Vol. 10, Issue 2 https://doi.org/10.1093/imamat/10.2.134	journal	January 1972
ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES Bazilevs, Y.; BeirÃO Da Veiga, L.; Cottrell, J. A. Mathematical Models and Methods in Applied Sciences, Vol. 16, Issue 07 https://doi.org/10.1142/S0218202506001455	journal	July 2006
T-spline simplification and local refinement Sederberg, Thomas W.; Cardon, David L.; Finnigan, G. Thomas ACM Transactions on Graphics, Vol. 23, Issue 3 https://doi.org/10.1145/1015706.1015715	journal	August 2004
Watertight trimmed NURBS Sederberg, Thomas W.; Finnigan, G. Thomas; Li, Xin ACM Transactions on Graphics, Vol. 27, Issue 3 https://doi.org/10.1145/1360612.1360678	journal	August 2008
T-splines and T-NURCCs Sederberg, Thomas W.; Zheng, Jianmin; Bakenov, Almaz ACM Transactions on Graphics, Vol. 22, Issue 3 https://doi.org/10.1145/882262.882295	journal	July 2003
Computational Cardiovascular Medicine With Isogeometric Analysis Takizawa, Kenji; Bazilevs, Yuri; Tezduyar, Tayfun E. Journal of Advanced Engineering and Computation, Vol. 6, Issue 3 https://doi.org/10.55579/jaec.202263.381	journal	September 2022

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