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
Laymuns, Genaro; Sánchez, Manuel A. Corrected finite element methods on unfitted meshes for Stokes moving interface problem. (English) Zbl 1524.65832 Comput. Math. Appl. 108, 159-174 (2022). MSC: 65N30 35J25 65N15 74F10 65N50 76D07 65M60 65M06 92C35 35Q92 74B10 76M10 74S05 35Q35 35Q74 PDFBibTeX XMLCite \textit{G. Laymuns} and \textit{M. A. Sánchez}, Comput. Math. Appl. 108, 159--174 (2022; Zbl 1524.65832) Full Text: DOI
Runnels, Brandon; Agrawal, Vinamra; Zhang, Weiqun; Almgren, Ann Massively parallel finite difference elasticity using block-structured adaptive mesh refinement with a geometric multigrid solver. (English) Zbl 07510250 J. Comput. Phys. 427, Article ID 110065, 17 p. (2021). MSC: 74-XX 65-XX PDFBibTeX XMLCite \textit{B. Runnels} et al., J. Comput. Phys. 427, Article ID 110065, 17 p. (2021; Zbl 07510250) Full Text: DOI arXiv
Zhou, Kun; Balachandar, S. An analysis of the spatio-temporal resolution of the immersed boundary method with direct forcing. (English) Zbl 07508467 J. Comput. Phys. 424, Article ID 109862, 29 p. (2021). MSC: 76-XX 74-XX PDFBibTeX XMLCite \textit{K. Zhou} and \textit{S. Balachandar}, J. Comput. Phys. 424, Article ID 109862, 29 p. (2021; Zbl 07508467) Full Text: DOI
Boustani, Jonathan; Barad, Michael F.; Kiris, Cetin C.; Brehm, Christoph An immersed boundary fluid-structure interaction method for thin, highly compliant shell structures. (English) Zbl 07505964 J. Comput. Phys. 438, Article ID 110369, 35 p. (2021). MSC: 76Mxx 65Mxx 74Sxx PDFBibTeX XMLCite \textit{J. Boustani} et al., J. Comput. Phys. 438, Article ID 110369, 35 p. (2021; Zbl 07505964) Full Text: DOI
Tschisgale, Silvio; Fröhlich, Jochen An immersed boundary method for the fluid-structure interaction of slender flexible structures in viscous fluid. (English) Zbl 07508416 J. Comput. Phys. 423, Article ID 109801, 27 p. (2020). MSC: 74-XX 92-XX PDFBibTeX XMLCite \textit{S. Tschisgale} and \textit{J. Fröhlich}, J. Comput. Phys. 423, Article ID 109801, 27 p. (2020; Zbl 07508416) Full Text: DOI arXiv
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
Rycroft, Chris H.; Wu, Chen-Hung; Yu, Yue; Kamrin, Ken Reference map technique for incompressible fluid-structure interaction. (English) Zbl 1460.76177 J. Fluid Mech. 898, Paper No. A9, 44 p. (2020). MSC: 76D05 74F10 PDFBibTeX XMLCite \textit{C. H. Rycroft} et al., J. Fluid Mech. 898, Paper No. A9, 44 p. (2020; Zbl 1460.76177) Full Text: DOI arXiv
Liu, Xiaoling; Song, Fangying; Xu, Chuanju An efficient spectral method for the inextensible immersed interface in incompressible flows. (English) Zbl 1473.65238 Commun. Comput. Phys. 25, No. 4, 1071-1096 (2019). MSC: 65M70 74F10 76N10 PDFBibTeX XMLCite \textit{X. Liu} et al., Commun. Comput. Phys. 25, No. 4, 1071--1096 (2019; Zbl 1473.65238) Full Text: DOI
Jain, Suhas S.; Kamrin, Ken; Mani, Ali A conservative and non-dissipative Eulerian formulation for the simulation of soft solids in fluids. (English) Zbl 1453.74029 J. Comput. Phys. 399, Article ID 108922, 26 p. (2019). MSC: 74F10 76D05 76M12 74S10 PDFBibTeX XMLCite \textit{S. S. Jain} et al., J. Comput. Phys. 399, Article ID 108922, 26 p. (2019; Zbl 1453.74029) Full Text: DOI arXiv
Abdol Azis, Mohd Hazmil; Evrard, Fabien; van Wachem, Berend An immersed boundary method for incompressible flows in complex domains. (English) Zbl 1454.76058 J. Comput. Phys. 378, 770-795 (2019). MSC: 76M12 74F10 PDFBibTeX XMLCite \textit{M. H. Abdol Azis} et al., J. Comput. Phys. 378, 770--795 (2019; Zbl 1454.76058) Full Text: DOI
Xu, Songzhe; Xu, Fei; Kommajosula, Aditya; Hsu, Ming-Chen; Ganapathysubramanian, Baskar Immersogeometric analysis of moving objects in incompressible flows. (English) Zbl 1519.76161 Comput. Fluids 189, 24-33 (2019). MSC: 76M10 65M60 74F10 76D05 PDFBibTeX XMLCite \textit{S. Xu} et al., Comput. Fluids 189, 24--33 (2019; Zbl 1519.76161) Full Text: DOI Link
Maxian, Ondrej; Kassen, Andrew T.; Strychalski, Wanda A continuous energy-based immersed boundary method for elastic shells. (English) Zbl 1415.76778 J. Comput. Phys. 371, 333-362 (2018). MSC: 76Z05 74F10 76D07 PDFBibTeX XMLCite \textit{O. Maxian} et al., J. Comput. Phys. 371, 333--362 (2018; Zbl 1415.76778) Full Text: DOI arXiv
Tschisgale, Silvio; Kempe, Tobias; Fröhlich, Jochen A general implicit direct forcing immersed boundary method for rigid particles. (English) Zbl 1410.76049 Comput. Fluids 170, 285-298 (2018). MSC: 76D05 74F10 76-04 76M12 PDFBibTeX XMLCite \textit{S. Tschisgale} et al., Comput. Fluids 170, 285--298 (2018; Zbl 1410.76049) Full Text: DOI
Kim, Woojin; Lee, Injae; Choi, Haecheon A weak-coupling immersed boundary method for fluid-structure interaction with low density ratio of solid to fluid. (English) Zbl 1383.74086 J. Comput. Phys. 359, 296-311 (2018). MSC: 74S05 74F10 76M10 PDFBibTeX XMLCite \textit{W. Kim} et al., J. Comput. Phys. 359, 296--311 (2018; Zbl 1383.74086) 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
Zhang, P.; Benard, A. Numerical simulation of particle motion using a combined MacCormack and immersed boundary method. (English) Zbl 1349.76560 J. Comput. Phys. 294, 524-546 (2015). MSC: 76M20 65M06 65M75 74F10 76Nxx 76T20 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{A. Benard}, J. Comput. Phys. 294, 524--546 (2015; Zbl 1349.76560) Full Text: DOI
Ko, William; Stockie, John M. An immersed boundary model of the cochlea with parametric forcing. (English) Zbl 1316.35031 SIAM J. Appl. Math. 75, No. 3, 1065-1089 (2015). MSC: 35B34 74F10 76D05 76Z05 PDFBibTeX XMLCite \textit{W. Ko} and \textit{J. M. Stockie}, SIAM J. Appl. Math. 75, No. 3, 1065--1089 (2015; Zbl 1316.35031) Full Text: DOI arXiv
Zhang, Zhi-Qian; Liu, G. R.; Khoo, Boo Cheong Immersed smoothed finite element method for two dimensional fluid-structure interaction problems. (English) Zbl 1242.74178 Int. J. Numer. Methods Eng. 90, No. 10, 1292-1320 (2012). MSC: 74S05 76M10 74F10 76D05 PDFBibTeX XMLCite \textit{Z.-Q. Zhang} et al., Int. J. Numer. Methods Eng. 90, No. 10, 1292--1320 (2012; Zbl 1242.74178) Full Text: DOI
Hsu, Chia-Yu; Dillon, Robert A 3D motile rod-shaped monotrichous bacterial model. (English) Zbl 1168.92015 Bull. Math. Biol. 71, No. 5, 1228-1263 (2009). MSC: 92C37 76D05 74F10 65C20 PDFBibTeX XMLCite \textit{C.-Y. Hsu} and \textit{R. Dillon}, Bull. Math. Biol. 71, No. 5, 1228--1263 (2009; Zbl 1168.92015) Full Text: DOI
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
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
Lee, Sunmi; Jung, Eunok A two-chamber model of valveless pumping using the immersed boundary method. (English) Zbl 1163.76011 Appl. Math. Comput. 206, No. 2, 876-884 (2008). MSC: 76D05 76Z05 76M25 76M20 74F10 92C10 PDFBibTeX XMLCite \textit{S. Lee} and \textit{E. Jung}, Appl. Math. Comput. 206, No. 2, 876--884 (2008; Zbl 1163.76011) Full Text: DOI
Tan, Zhijun; Le, D. V.; Li, Zhilin; Lim, K. M.; Khoo, B. C. An immersed interface method for solving incompressible viscous flows with piecewise constant viscosity across a moving elastic membrane. (English) Zbl 1317.76064 J. Comput. Phys. 227, No. 23, 9955-9983 (2008). MSC: 76M25 74F10 74H15 76Z05 65N30 PDFBibTeX XMLCite \textit{Z. Tan} et al., J. Comput. Phys. 227, No. 23, 9955--9983 (2008; Zbl 1317.76064) Full Text: DOI
Hou, Thomas Y.; Shi, Zuoqiang An efficient semi-implicit immersed boundary method for the Navier-Stokes equations. (English) Zbl 1161.76048 J. Comput. Phys. 227, No. 20, 8968-8991 (2008). Reviewer: Jagdish Prakash (Mumbai) MSC: 76M25 76D05 74F10 PDFBibTeX XMLCite \textit{T. Y. Hou} and \textit{Z. Shi}, J. Comput. Phys. 227, No. 20, 8968--8991 (2008; Zbl 1161.76048) Full Text: DOI
Mori, Yoichiro Convergence proof of the velocity field for a Stokes flow immersed boundary method. (English) Zbl 1171.76042 Commun. Pure Appl. Math. 61, No. 9, 1213-1263 (2008). Reviewer: Tomislav Zlatanovski (Skopje) MSC: 76M22 76M20 76D07 74F10 65M12 65N12 PDFBibTeX XMLCite \textit{Y. Mori}, Commun. Pure Appl. Math. 61, No. 9, 1213--1263 (2008; Zbl 1171.76042) Full Text: DOI
Boffi, Daniele; Gastaldi, Lucia; Heltai, Luca Numerical stability of the finite element immersed boundary method. (English) Zbl 1186.76661 Math. Models Methods Appl. Sci. 17, No. 10, 1479-1505 (2007). Reviewer: Titus Petrila (Cluj-Napoca) MSC: 76M10 76D05 74F10 65N12 65N30 PDFBibTeX XMLCite \textit{D. Boffi} et al., Math. Models Methods Appl. Sci. 17, No. 10, 1479--1505 (2007; Zbl 1186.76661) Full Text: DOI
Newren, Elijah P.; Fogelson, Aaron L.; Guy, Robert D.; Kirby, Robert M. Unconditionally stable discretizations of the immersed boundary equations. (English) Zbl 1158.74350 J. Comput. Phys. 222, No. 2, 702-719 (2007). MSC: 74F10 65M12 76D05 76M20 PDFBibTeX XMLCite \textit{E. P. Newren} et al., J. Comput. Phys. 222, No. 2, 702--719 (2007; Zbl 1158.74350) Full Text: DOI
Xu, Sheng; Wang, Z. Jane An immersed interface method for simulating the interaction of a fluid with moving boundaries. (English) Zbl 1220.76058 J. Comput. Phys. 216, No. 2, 454-493 (2006). MSC: 76M25 65M60 74F10 76M20 PDFBibTeX XMLCite \textit{S. Xu} and \textit{Z. J. Wang}, J. Comput. Phys. 216, No. 2, 454--493 (2006; Zbl 1220.76058) 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
Tornberg, Anna-Karin; Engquist, Björn Numerical approximations of singular source terms in differential equations. (English) Zbl 1115.76392 J. Comput. Phys. 200, No. 2, 462-488 (2004). MSC: 76M25 74S30 65N99 PDFBibTeX XMLCite \textit{A.-K. Tornberg} and \textit{B. Engquist}, J. Comput. Phys. 200, No. 2, 462--488 (2004; Zbl 1115.76392) Full Text: DOI
Zhu, Luoding; Peskin, Charles S. Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method. (English) Zbl 1130.76406 J. Comput. Phys. 179, No. 2, 452-468 (2002). MSC: 76M25 74F10 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{C. S. Peskin}, J. Comput. Phys. 179, No. 2, 452--468 (2002; Zbl 1130.76406) Full Text: DOI Link
Stockie, John M.; Wetton, Brian R. Analysis of stiffness in the immersed boundary method and implications for time-stepping schemes. (English) Zbl 0953.76070 J. Comput. Phys. 154, No. 1, 41-64 (1999). MSC: 76M20 76D07 74F10 PDFBibTeX XMLCite \textit{J. M. Stockie} and \textit{B. R. Wetton}, J. Comput. Phys. 154, No. 1, 41--64 (1999; Zbl 0953.76070) Full Text: DOI Link
Roma, Alexandre M.; Peskin, Charles S.; Berger, Marsha J. An adaptive version of the immersed boundary method. (English) Zbl 0953.76069 J. Comput. Phys. 153, No. 2, 509-534 (1999). MSC: 76M20 76D05 65M55 74F10 PDFBibTeX XMLCite \textit{A. M. Roma} et al., J. Comput. Phys. 153, No. 2, 509--534 (1999; Zbl 0953.76069) Full Text: DOI Link
Fauci, Lisa J. Peristaltic pumping of solid particles. (English) Zbl 0825.76603 Comput. Fluids 21, No. 4, 583-598 (1992). MSC: 76M25 76T99 76D05 74F10 PDFBibTeX XMLCite \textit{L. J. Fauci}, Comput. Fluids 21, No. 4, 583--598 (1992; Zbl 0825.76603) Full Text: DOI