He, Tianyu; Mitsume, Naoto; Yasui, Fumitaka; Morita, Naoki; Fukui, Tsutomu; Shibanuma, Kazuki Strategy for accurately and efficiently modelling an internal traction-free boundary based on the s-version finite element method: problem clarification and solutions verification. (English) Zbl 07644884 Comput. Methods Appl. Mech. Eng. 404, Article ID 115843, 28 p. (2023). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{T. He} et al., Comput. Methods Appl. Mech. Eng. 404, Article ID 115843, 28 p. (2023; Zbl 07644884) Full Text: DOI
Wang, Luohao; Xie, Chunmei; Huang, Weixi A monolithic projection framework for constrained FSI problems with the immersed boundary method. (English) Zbl 1506.74113 Comput. Methods Appl. Mech. Eng. 371, Article ID 113332, 36 p. (2020). MSC: 74F10 74S15 65M38 76D05 PDFBibTeX XMLCite \textit{L. Wang} et al., Comput. Methods Appl. Mech. Eng. 371, Article ID 113332, 36 p. (2020; Zbl 1506.74113) Full Text: DOI
Ma, Yunfei; Cui, Jiahuan; Vadlamani, Nagabhushana Rao; Tucker, Paul Hierarchical geometry modelling using the immersed boundary method. (English) Zbl 1441.76066 Comput. Methods Appl. Mech. Eng. 355, 323-348 (2019). MSC: 76M10 65M60 PDFBibTeX XMLCite \textit{Y. Ma} et al., Comput. Methods Appl. Mech. Eng. 355, 323--348 (2019; Zbl 1441.76066) Full Text: DOI
Rowlatt, C. F.; Phillips, T. N. A spectral element formulation of the immersed boundary method for Newtonian fluids. (English) Zbl 1423.74949 Comput. Methods Appl. Mech. Eng. 298, 29-57 (2016). MSC: 74S25 74S05 74S15 65M70 65M60 74F10 PDFBibTeX XMLCite \textit{C. F. Rowlatt} and \textit{T. N. Phillips}, Comput. Methods Appl. Mech. Eng. 298, 29--57 (2016; Zbl 1423.74949) Full Text: DOI
Casquero, Hugo; Bona-Casas, Carles; Gomez, Hector A NURBS-based immersed methodology for fluid-structure interaction. (English) Zbl 1423.74261 Comput. Methods Appl. Mech. Eng. 284, 943-970 (2015). MSC: 74F10 65D17 65M60 74D10 76D99 PDFBibTeX XMLCite \textit{H. Casquero} et al., Comput. Methods Appl. Mech. Eng. 284, 943--970 (2015; Zbl 1423.74261) Full Text: DOI
Maertens, Audrey P.; Weymouth, Gabriel D. Accurate Cartesian-grid simulations of near-body flows at intermediate Reynolds numbers. (English) Zbl 1423.76180 Comput. Methods Appl. Mech. Eng. 283, 106-129 (2015). MSC: 76G25 74F10 76M20 PDFBibTeX XMLCite \textit{A. P. Maertens} and \textit{G. D. Weymouth}, Comput. Methods Appl. Mech. Eng. 283, 106--129 (2015; Zbl 1423.76180) Full Text: DOI Link
Cheng, Lei; White, Robert D.; Grosh, Karl Three-dimensional viscous finite element formulation for acoustic fluid-structure interaction. (English) Zbl 1194.76108 Comput. Methods Appl. Mech. Eng. 197, No. 49-50, 4160-4172 (2008). MSC: 76M10 76Q05 74F10 PDFBibTeX XMLCite \textit{L. Cheng} et al., Comput. Methods Appl. Mech. Eng. 197, No. 49--50, 4160--4172 (2008; Zbl 1194.76108) Full Text: DOI
Newren, Elijah P.; Fogelson, Aaron L.; Guy, Robert D.; Kirby, Robert M. A comparison of implicit solvers for the immersed boundary equations. (English) Zbl 1158.76409 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2290-2304 (2008). MSC: 76M25 74F10 76D05 76M20 65M06 65N22 PDFBibTeX XMLCite \textit{E. P. Newren} et al., Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2290--2304 (2008; Zbl 1158.76409) Full Text: DOI
Vos, P. E. J.; van Loon, R.; Sherwin, S. J. A comparison of fictitious domain methods appropriate for spectral/\(hp\) element discretisations. (English) Zbl 1158.76357 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2275-2289 (2008). MSC: 76M10 76M22 74F10 PDFBibTeX XMLCite \textit{P. E. J. Vos} et al., Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2275--2289 (2008; Zbl 1158.76357) Full Text: DOI
Layton, Anita T. An efficient numerical method for the two-fluid Stokes equations with a moving immersed boundary. (English) Zbl 1158.76381 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2147-2155 (2008). MSC: 76M20 76M25 76D07 35R05 65M12 65N06 PDFBibTeX XMLCite \textit{A. T. Layton}, Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2147--2155 (2008; Zbl 1158.76381) Full Text: DOI
Colonius, Tim; Taira, Kunihiko A fast immersed boundary method using a nullspace approach and multi-domain far-field boundary conditions. (English) Zbl 1158.76395 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2131-2146 (2008). MSC: 76M25 76D05 76M12 PDFBibTeX XMLCite \textit{T. Colonius} and \textit{K. Taira}, Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2131--2146 (2008; Zbl 1158.76395) Full Text: DOI
Xu, Sheng; Wang, Z. Jane A 3D immersed interface method for fluid-solid interaction. (English) Zbl 1158.74540 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2068-2086 (2008). MSC: 74S30 74F10 76D05 PDFBibTeX XMLCite \textit{S. Xu} and \textit{Z. J. Wang}, Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2068--2086 (2008; Zbl 1158.74540) Full Text: DOI
Mori, Yoichiro; Peskin, Charles S. Implicit second-order immersed boundary methods with boundary mass. (English) Zbl 1158.74533 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2049-2067 (2008). MSC: 74S30 74S20 74F10 PDFBibTeX XMLCite \textit{Y. Mori} and \textit{C. S. Peskin}, Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2049--2067 (2008; Zbl 1158.74533) Full Text: DOI
Wang, Xiaodong; Liu, Wing Kam Extended immersed boundary method using FEM and RKPM. (English) Zbl 1060.74676 Comput. Methods Appl. Mech. Eng. 193, No. 12-14, 1305-1321 (2004). MSC: 74S30 74S05 74F10 PDFBibTeX XMLCite \textit{X. Wang} and \textit{W. K. Liu}, Comput. Methods Appl. Mech. Eng. 193, No. 12--14, 1305--1321 (2004; Zbl 1060.74676) Full Text: DOI