Magome, Nozomi; Morita, Naoki; Kaneko, Shigeki; Mitsume, Naoto Higher-continuity s-version of finite element method with B-Spline functions. (English) Zbl 07811299 J. Comput. Phys. 497, Article ID 112593, 18 p. (2024). MSC: 74Sxx 76Mxx 65Mxx PDFBibTeX XMLCite \textit{N. Magome} et al., J. Comput. Phys. 497, Article ID 112593, 18 p. (2024; Zbl 07811299) Full Text: DOI
Wells, David R.; Vadala-Roth, Ben; Lee, Jae H.; Griffith, Boyce E. A nodal immersed finite element-finite difference method. (English) Zbl 07652800 J. Comput. Phys. 477, Article ID 111890, 29 p. (2023). MSC: 76Mxx 74Fxx 74Sxx PDFBibTeX XMLCite \textit{D. R. Wells} et al., J. Comput. Phys. 477, Article ID 111890, 29 p. (2023; Zbl 07652800) Full Text: DOI arXiv
Huang, Tsung-Hui; Chen, Jiun-Shyan; Tupek, Michael R.; Beckwith, Frank N.; Fang, H. Eliot A variational multiscale immersed meshfree method for fluid structure interactive systems involving shock waves. (English) Zbl 1507.76088 Comput. Methods Appl. Mech. Eng. 389, Article ID 114396, 45 p. (2022). MSC: 76L05 74F10 PDFBibTeX XMLCite \textit{T.-H. Huang} et al., Comput. Methods Appl. Mech. Eng. 389, Article ID 114396, 45 p. (2022; Zbl 1507.76088) Full Text: DOI
Choung, Hanahchim; Saravanan, Vignesh; Lee, Soogab; Cho, Haeseong Nonlinear weighting process in ghost-cell immersed boundary methods for compressible flow. (English) Zbl 1515.76112 J. Comput. Phys. 433, Article ID 110198, 28 p. (2021). MSC: 76M20 65M06 74F10 PDFBibTeX XMLCite \textit{H. Choung} et al., J. Comput. Phys. 433, Article ID 110198, 28 p. (2021; Zbl 1515.76112) Full Text: DOI
Cai, Shang-Gui; Degrigny, Johan; Boussuge, Jean-François; Sagaut, Pierre Coupling of turbulence wall models and immersed boundaries on Cartesian grids. (English) Zbl 07500731 J. Comput. Phys. 429, Article ID 109995, 37 p. (2021). MSC: 76Mxx 76Dxx 76Fxx PDFBibTeX XMLCite \textit{S.-G. Cai} et al., J. Comput. Phys. 429, Article ID 109995, 37 p. (2021; Zbl 07500731) Full Text: DOI
Liu, Bin A Nitsche stabilized finite element method: application for heat and mass transfer and fluid-structure interaction. (English) Zbl 1507.74489 Comput. Methods Appl. Mech. Eng. 386, Article ID 114101, 35 p. (2021). MSC: 74S05 65N30 74F10 80M10 PDFBibTeX XMLCite \textit{B. Liu}, Comput. Methods Appl. Mech. Eng. 386, Article ID 114101, 35 p. (2021; Zbl 1507.74489) Full Text: DOI
Wang, Shuangqiang; Zhang, Guiyong; Cai, Yunan; Yan, Boqian; Tang, Qian Comparisons of two representative methods classified as immersed boundary and domain methods. (English) Zbl 1521.74259 Eng. Anal. Bound. Elem. 132, 383-398 (2021). MSC: 74S05 65M60 74F10 76D99 PDFBibTeX XMLCite \textit{S. Wang} et al., Eng. Anal. Bound. Elem. 132, 383--398 (2021; Zbl 1521.74259) Full Text: DOI
Onishi, Keiji; Tsubokura, Makoto Topology-free immersed boundary method for incompressible turbulence flows: an aerodynamic simulation for “dirty” CAD geometry. (English) Zbl 1506.76022 Comput. Methods Appl. Mech. Eng. 378, Article ID 113734, 32 p. (2021). MSC: 76D05 76F65 76M12 PDFBibTeX XMLCite \textit{K. Onishi} and \textit{M. Tsubokura}, Comput. Methods Appl. Mech. Eng. 378, Article ID 113734, 32 p. (2021; Zbl 1506.76022) Full Text: DOI arXiv
Mazhar, Farrukh; Javed, Ali; Xing, Jing Tang; Shahzad, Aamer; Mansoor, Mohtashim; Maqsood, Adnan; Shah, Syed Irtiza Ali; Asim, Kamran On the meshfree particle methods for fluid-structure interaction problems. (English) Zbl 1464.76150 Eng. Anal. Bound. Elem. 124, 14-40 (2021). MSC: 76M28 65M75 74F10 76D05 PDFBibTeX XMLCite \textit{F. Mazhar} et al., Eng. Anal. Bound. Elem. 124, 14--40 (2021; Zbl 1464.76150) Full Text: DOI
Aguirre, Miquel; Avril, Stéphane An implicit 3D corotational formulation for frictional contact dynamics of beams against rigid surfaces using discrete signed distance fields. (English) Zbl 1506.74217 Comput. Methods Appl. Mech. Eng. 371, Article ID 113275, 43 p. (2020). MSC: 74M10 74K10 PDFBibTeX XMLCite \textit{M. Aguirre} and \textit{S. Avril}, Comput. Methods Appl. Mech. Eng. 371, Article ID 113275, 43 p. (2020; Zbl 1506.74217) Full Text: DOI
Liu, B.; Tan, D. A Nitsche stabilized finite element method for embedded interfaces: application to fluid-structure interaction and rigid-body contact. (English) Zbl 1436.76029 J. Comput. Phys. 413, Article ID 109461, 23 p. (2020). MSC: 76M10 76D05 74F10 65M60 PDFBibTeX XMLCite \textit{B. Liu} and \textit{D. Tan}, J. Comput. Phys. 413, Article ID 109461, 23 p. (2020; Zbl 1436.76029) Full Text: DOI arXiv
Puelz, Charles; Griffith, Boyce E. A sharp interface method for an immersed viscoelastic solid. (English) Zbl 1435.76040 J. Comput. Phys. 409, Article ID 109217, 25 p. (2020). MSC: 76M10 65M60 74F10 PDFBibTeX XMLCite \textit{C. Puelz} and \textit{B. E. Griffith}, J. Comput. Phys. 409, Article ID 109217, 25 p. (2020; Zbl 1435.76040) Full Text: DOI arXiv
Vadala-Roth, Ben; Acharya, Shashank; Patankar, Neelesh A.; Rossi, Simone; Griffith, Boyce E. Stabilization approaches for the hyperelastic immersed boundary method for problems of large-deformation incompressible elasticity. (English) Zbl 1442.74035 Comput. Methods Appl. Mech. Eng. 365, Article ID 112978, 47 p. (2020). MSC: 74B20 74F10 74H55 76D05 74S05 74S15 PDFBibTeX XMLCite \textit{B. Vadala-Roth} et al., Comput. Methods Appl. Mech. Eng. 365, Article ID 112978, 47 p. (2020; Zbl 1442.74035) Full Text: DOI arXiv
Cerquaglia, M. L.; Thomas, D.; Boman, R.; Terrapon, V.; Ponthot, J.-P. A fully partitioned Lagrangian framework for FSI problems characterized by free surfaces, large solid deformations and displacements, and strong added-mass effects. (English) Zbl 1440.74380 Comput. Methods Appl. Mech. Eng. 348, 409-442 (2019). MSC: 74S05 76M10 65M60 74F10 76Dxx PDFBibTeX XMLCite \textit{M. L. Cerquaglia} et al., Comput. Methods Appl. Mech. Eng. 348, 409--442 (2019; Zbl 1440.74380) Full Text: DOI
Zhang, Lucy T. Immersed methods for high Reynolds number fluid-structure interactions. (English) Zbl 1404.76170 Int. J. Comput. Methods 14, No. 6, Article ID 1750068, 22 p. (2017). MSC: 76M10 74S05 65M60 74F10 76D05 PDFBibTeX XMLCite \textit{L. T. Zhang}, Int. J. Comput. Methods 14, No. 6, Article ID 1750068, 22 p. (2017; Zbl 1404.76170) Full Text: DOI
Bazilevs, Y.; Kamran, K.; Moutsanidis, G.; Benson, D. J.; Oñate, E. A new formulation for air-blast fluid-structure interaction using an immersed approach. I: Basic methodology and FEM-based simulations. (English) Zbl 1386.74046 Comput. Mech. 60, No. 1, 83-100 (2017). MSC: 74F10 74S05 65M60 76N15 76M10 PDFBibTeX XMLCite \textit{Y. Bazilevs} et al., Comput. Mech. 60, No. 1, 83--100 (2017; Zbl 1386.74046) Full Text: DOI
Basting, Steffen; Quaini, Annalisa; Čanić, Sunčica; Glowinski, Roland Extended ALE method for fluid-structure interaction problems with large structural displacements. (English) Zbl 1378.74020 J. Comput. Phys. 331, 312-336 (2017). MSC: 74F10 76M10 65M50 76D05 PDFBibTeX XMLCite \textit{S. Basting} et al., J. Comput. Phys. 331, 312--336 (2017; Zbl 1378.74020) Full Text: DOI
Nama, Nitesh; Huang, Tony Jun; Costanzo, Francesco Acoustic streaming: an arbitrary Lagrangian-Eulerian perspective. (English) Zbl 1374.76204 J. Fluid Mech. 825, 600-630 (2017). MSC: 76Q05 74F10 76M25 PDFBibTeX XMLCite \textit{N. Nama} et al., J. Fluid Mech. 825, 600--630 (2017; Zbl 1374.76204) Full Text: DOI arXiv
Boffi, Daniele; Gastaldi, Lucia A fictitious domain approach with Lagrange multiplier for fluid-structure interactions. (English) Zbl 1457.65097 Numer. Math. 135, No. 3, 711-732 (2017). MSC: 65M60 65M22 65N30 65N85 65M12 74F10 PDFBibTeX XMLCite \textit{D. Boffi} and \textit{L. Gastaldi}, Numer. Math. 135, No. 3, 711--732 (2017; Zbl 1457.65097) Full Text: DOI arXiv
Costarelli, Santiago D.; Garelli, Luciano; Cruchaga, Marcela A.; Storti, Mario A.; Ausensi, Ronald; Idelsohn, Sergio R. An embedded strategy for the analysis of fluid structure interaction problems. (English) Zbl 1425.74152 Comput. Methods Appl. Mech. Eng. 300, 106-128 (2016). MSC: 74F10 76M12 65M08 65Y10 76D05 PDFBibTeX XMLCite \textit{S. D. Costarelli} et al., Comput. Methods Appl. Mech. Eng. 300, 106--128 (2016; Zbl 1425.74152) Full Text: DOI
Franci, Alessandro; Oñate, Eugenio; Carbonell, Josep Maria Unified Lagrangian formulation for solid and fluid mechanics and FSI problems. (English) Zbl 1423.76230 Comput. Methods Appl. Mech. Eng. 298, 520-547 (2016). MSC: 76M10 74S05 74F10 65M60 PDFBibTeX XMLCite \textit{A. Franci} et al., Comput. Methods Appl. Mech. Eng. 298, 520--547 (2016; Zbl 1423.76230) Full Text: DOI Link
Foucard, Louis; Vernerey, Franck J. A particle-based moving interface method (PMIM) for modeling the large deformation of boundaries in soft matter systems. (English) Zbl 1352.76051 Int. J. Numer. Methods Eng. 107, No. 11, 923-946 (2016). MSC: 76M10 74S05 65N30 65N75 74F10 74K15 76Dxx PDFBibTeX XMLCite \textit{L. Foucard} and \textit{F. J. Vernerey}, Int. J. Numer. Methods Eng. 107, No. 11, 923--946 (2016; Zbl 1352.76051) Full Text: DOI
Sigüenza, J.; Mendez, S.; Ambard, D.; Dubois, F.; Jourdan, F.; Mozul, R.; Nicoud, F. Validation of an immersed thick boundary method for simulating fluid-structure interactions of deformable membranes. (English) Zbl 1351.76080 J. Comput. Phys. 322, 723-746 (2016). MSC: 76M10 65M60 74F10 74S05 76Z05 92C35 PDFBibTeX XMLCite \textit{J. Sigüenza} et al., J. Comput. Phys. 322, 723--746 (2016; Zbl 1351.76080) Full Text: DOI
Boffi, Daniele; Gastaldi, Lucia Discrete models for fluid-structure interactions: the finite element immersed boundary method. (English) Zbl 1419.65054 Discrete Contin. Dyn. Syst., Ser. S 9, No. 1, 89-107 (2016). MSC: 65M60 65M12 74F10 76D05 92C35 PDFBibTeX XMLCite \textit{D. Boffi} and \textit{L. Gastaldi}, Discrete Contin. Dyn. Syst., Ser. S 9, No. 1, 89--107 (2016; Zbl 1419.65054) Full Text: DOI arXiv
Niu, Xiao-Dong; Hu, Ping; Zhang, Xing-Wei; Meng, Hui; Yamaguchi, Hiroshi; Iwamoto, Yuhiro Numerical investigation of “frog-leap” mechanisms of three particles aligned moving in an inclined channel flow. (English) Zbl 1488.76104 Adv. Appl. Math. Mech. 7, No. 2, 207-228 (2015). MSC: 76M28 76T20 PDFBibTeX XMLCite \textit{X.-D. Niu} et al., Adv. Appl. Math. Mech. 7, No. 2, 207--228 (2015; Zbl 1488.76104) Full Text: DOI
Zhu, Ling; Zhang, Zhiyue; Li, Zhilin An immersed finite volume element method for 2D PDEs with discontinuous coefficients and non-homogeneous jump conditions. (English) Zbl 1443.65293 Comput. Math. Appl. 70, No. 2, 89-103 (2015). MSC: 65N08 76T30 82C24 PDFBibTeX XMLCite \textit{L. Zhu} et al., Comput. Math. Appl. 70, No. 2, 89--103 (2015; Zbl 1443.65293) Full Text: DOI
Roy, Saswati; Heltai, Luca; Costanzo, Francesco Benchmarking the immersed finite element method for fluid-structure interaction problems. (English) Zbl 1443.65221 Comput. Math. Appl. 69, No. 10, 1167-1188 (2015). MSC: 65M60 74F10 PDFBibTeX XMLCite \textit{S. Roy} et al., Comput. Math. Appl. 69, No. 10, 1167--1188 (2015; Zbl 1443.65221) Full Text: DOI arXiv
Legay, Antoine The extended finite element method combined with a modal synthesis approach for vibro-acoustic problems. (English) Zbl 1352.74392 Int. J. Numer. Methods Eng. 101, No. 5, 329-350 (2015). MSC: 74S05 76M10 65N30 65N25 76Q05 PDFBibTeX XMLCite \textit{A. Legay}, Int. J. Numer. Methods Eng. 101, No. 5, 329--350 (2015; Zbl 1352.74392) Full Text: DOI HAL
Boffi, Daniele; Cavallini, Nicola; Gastaldi, Lucia The finite element immersed boundary method with distributed Lagrange multiplier. (English) Zbl 1330.65147 SIAM J. Numer. Anal. 53, No. 6, 2584-2604 (2015). MSC: 65M60 65M12 65M85 PDFBibTeX XMLCite \textit{D. Boffi} et al., SIAM J. Numer. Anal. 53, No. 6, 2584--2604 (2015; Zbl 1330.65147) Full Text: DOI arXiv
Hesch, C.; Gil, A. J.; Arranz Carreño, A.; Bonet, J.; Betsch, P. A mortar approach for fluid-structure interaction problems: immersed strategies for deformable and rigid bodies. (English) Zbl 1423.74889 Comput. Methods Appl. Mech. Eng. 278, 853-882 (2014). MSC: 74S05 76M10 74F10 65M60 76D05 PDFBibTeX XMLCite \textit{C. Hesch} et al., Comput. Methods Appl. Mech. Eng. 278, 853--882 (2014; Zbl 1423.74889) Full Text: DOI
Bamiro, Oluyinka O.; Liou, William W. A direct heating immersed boundary-lattice Boltzmann method for thermal flows. (English) Zbl 1356.76270 Int. J. Numer. Methods Heat Fluid Flow 24, No. 1, 169-200 (2014). MSC: 76M28 PDFBibTeX XMLCite \textit{O. O. Bamiro} and \textit{W. W. Liou}, Int. J. Numer. Methods Heat Fluid Flow 24, No. 1, 169--200 (2014; Zbl 1356.76270) Full Text: DOI
Kramer, Richard M. J.; Noble, David R. A conformal decomposition finite element method for arbitrary discontinuities on moving interfaces. (English) Zbl 1352.74383 Int. J. Numer. Methods Eng. 100, No. 2, 87-110 (2014). MSC: 74S05 76M10 65M60 74N20 76Txx PDFBibTeX XMLCite \textit{R. M. J. Kramer} and \textit{D. R. Noble}, Int. J. Numer. Methods Eng. 100, No. 2, 87--110 (2014; Zbl 1352.74383) Full Text: DOI
Mendez, S.; Gibaud, E.; Nicoud, F. An unstructured solver for simulations of deformable particles in flows at arbitrary Reynolds numbers. (English) Zbl 1349.76944 J. Comput. Phys. 256, 465-483 (2014). MSC: 76Z05 76M12 65M08 92C35 PDFBibTeX XMLCite \textit{S. Mendez} et al., J. Comput. Phys. 256, 465--483 (2014; Zbl 1349.76944) Full Text: DOI HAL
Ji, Haifeng; Chen, Jinru; Li, Zhilin A symmetric and consistent immersed finite element method for interface problems. (English) Zbl 1308.65198 J. Sci. Comput. 61, No. 3, 533-557 (2014). Reviewer: H. P. Dikshit (Bhopal) MSC: 65N30 35J25 35R05 65N12 PDFBibTeX XMLCite \textit{H. Ji} et al., J. Sci. Comput. 61, No. 3, 533--557 (2014; Zbl 1308.65198) Full Text: DOI
Saleel, C. A.; Shaija, A.; Jayaraj, S. Computational simulation of fluid flow over a triangular step using immersed boundary method. (English) Zbl 1359.76085 Int. J. Comput. Methods 10, No. 4, Article ID 1350016, 30 p. (2013). MSC: 76D05 76M20 65M06 PDFBibTeX XMLCite \textit{C. A. Saleel} et al., Int. J. Comput. Methods 10, No. 4, Article ID 1350016, 30 p. (2013; Zbl 1359.76085) Full Text: DOI
Degroote, Joris Partitioned simulation of fluid-structure interaction. Coupling black-box solvers with quasi-Newton techniques. (English) Zbl 1354.74066 Arch. Comput. Methods Eng. 20, No. 3, 185-238 (2013). MSC: 74F10 76D05 65M25 74S30 PDFBibTeX XMLCite \textit{J. Degroote}, Arch. Comput. Methods Eng. 20, No. 3, 185--238 (2013; Zbl 1354.74066) Full Text: DOI
Legay, Antoine An extended finite element method approach for structural-acoustic problems involving immersed structures at arbitrary positions. (English) Zbl 1352.74391 Int. J. Numer. Methods Eng. 93, No. 4, 376-399 (2013). MSC: 74S05 65N30 74F10 76Q05 PDFBibTeX XMLCite \textit{A. Legay}, Int. J. Numer. Methods Eng. 93, No. 4, 376--399 (2013; Zbl 1352.74391) Full Text: DOI HAL
Gil, A. J.; Arranz Carreño, A.; Bonet, J.; Hassan, O. An enhanced Immersed structural potential method for fluid-structure interaction. (English) Zbl 1349.76608 J. Comput. Phys. 250, 178-205 (2013). MSC: 76M25 76D05 65Z05 PDFBibTeX XMLCite \textit{A. J. Gil} et al., J. Comput. Phys. 250, 178--205 (2013; Zbl 1349.76608) Full Text: DOI
Wick, Thomas Fully Eulerian fluid-structure interaction for time-dependent problems. (English) Zbl 1297.74044 Comput. Methods Appl. Mech. Eng. 255, 14-26 (2013). MSC: 74F10 74S05 76M10 65N30 PDFBibTeX XMLCite \textit{T. Wick}, Comput. Methods Appl. Mech. Eng. 255, 14--26 (2013; Zbl 1297.74044) Full Text: DOI
Wang, Xingshi; Zhang, Lucy T. Modified immersed finite element method for fully-coupled fluid-structure interactions. (English) Zbl 1286.74034 Comput. Methods Appl. Mech. Eng. 267, 150-169 (2013). MSC: 74F10 74S05 76M10 PDFBibTeX XMLCite \textit{X. Wang} and \textit{L. T. Zhang}, Comput. Methods Appl. Mech. Eng. 267, 150--169 (2013; Zbl 1286.74034) Full Text: DOI
Hesch, C.; Gil, A. J.; Arranz Carreño, A.; Bonet, J. On continuum immersed strategies for fluid-structure interaction. (English) Zbl 1352.76055 Comput. Methods Appl. Mech. Eng. 247-248, 51-64 (2012). MSC: 76M10 74S05 74F10 74A50 76D05 PDFBibTeX XMLCite \textit{C. Hesch} et al., Comput. Methods Appl. Mech. Eng. 247--248, 51--64 (2012; Zbl 1352.76055) Full Text: DOI
Kopacz, Adrian M.; Patankar, Neelesh A.; Liu, Wing K. The immersed molecular finite element method. (English) Zbl 1253.76060 Comput. Methods Appl. Mech. Eng. 233-236, 28-39 (2012). MSC: 76M10 65M60 76M28 92C50 74A25 74F10 PDFBibTeX XMLCite \textit{A. M. Kopacz} et al., Comput. Methods Appl. Mech. Eng. 233--236, 28--39 (2012; Zbl 1253.76060) Full Text: DOI
Heltai, Luca; Costanzo, Francesco Variational implementation of immersed finite element methods. (English) Zbl 1253.74035 Comput. Methods Appl. Mech. Eng. 229-232, 110-127 (2012). MSC: 74F10 74S05 74S15 PDFBibTeX XMLCite \textit{L. Heltai} and \textit{F. Costanzo}, Comput. Methods Appl. Mech. Eng. 229--232, 110--127 (2012; Zbl 1253.74035) Full Text: DOI arXiv
Devendran, Dharshi; Peskin, Charles S. An immersed boundary energy-based method for incompressible viscoelasticity. (English) Zbl 1245.76099 J. Comput. Phys. 231, No. 14, 4613-4642 (2012). MSC: 76M25 74L15 74F10 PDFBibTeX XMLCite \textit{D. Devendran} and \textit{C. S. Peskin}, J. Comput. Phys. 231, No. 14, 4613--4642 (2012; Zbl 1245.76099) Full Text: DOI
Wang, Xingshi; Wang, Chu; Zhang, Lucy T. Semi-implicit formulation of the immersed finite element method. (English) Zbl 1398.74098 Comput. Mech. 49, No. 4, 421-430 (2012). MSC: 74F10 76M10 76D05 65M06 74S05 PDFBibTeX XMLCite \textit{X. Wang} et al., Comput. Mech. 49, No. 4, 421--430 (2012; Zbl 1398.74098) Full Text: DOI
Zhu, Luoding; He, Guowei; Wang, Shizhao; Miller, Laura; Zhang, Xing; You, Qian; Fang, Shiaofen An immersed boundary method based on the lattice Boltzmann approach in three dimensions, with application. (English) Zbl 1225.76249 Comput. Math. Appl. 61, No. 12, 3506-3518 (2011). MSC: 76M28 65M75 74F10 PDFBibTeX XMLCite \textit{L. Zhu} et al., Comput. Math. Appl. 61, No. 12, 3506--3518 (2011; Zbl 1225.76249) Full Text: DOI Link
Wang, Shizhao; Zhang, Xing An immersed boundary method based on discrete stream function formulation for two- and three-dimensional incompressible flows. (English) Zbl 1316.76083 J. Comput. Phys. 230, No. 9, 3479-3499 (2011). MSC: 76M25 65M50 65M99 PDFBibTeX XMLCite \textit{S. Wang} and \textit{X. Zhang}, J. Comput. Phys. 230, No. 9, 3479--3499 (2011; Zbl 1316.76083) Full Text: DOI Link
Sawada, Tomohiro; Tezuka, Akira High-order Gaussian quadrature in X-FEM with the Lagrange-multiplier for fluid–structure coupling. (English) Zbl 1427.76145 Int. J. Numer. Methods Fluids 64, No. 10-12, 1219-1239 (2010). MSC: 76M10 65M50 74F10 PDFBibTeX XMLCite \textit{T. Sawada} and \textit{A. Tezuka}, Int. J. Numer. Methods Fluids 64, No. 10--12, 1219--1239 (2010; Zbl 1427.76145) Full Text: DOI
Wall, W. A.; Gerstenberger, A.; Küttler, U.; Mayer, U. M. An XFEM based fixed-grid approach for 3D fluid-structure interaction. (English) Zbl 1213.74121 Bungartz, Hans-Joachim (ed.) et al., Fluid-structure interaction II. Modelling, simulation, optimization. Selected papers based on the presentations at the first international workshop on computational engineering – special topic fluid-structure interactions, Herrsching, Germany, October 2009. Berlin: Springer (ISBN 978-3-642-14205-5/hbk; 978-3-642-14206-2/ebook). Lecture Notes in Computational Science and Engineering 73, 327-349 (2010). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 74F10 74S05 76M10 PDFBibTeX XMLCite \textit{W. A. Wall} et al., Lect. Notes Comput. Sci. Eng. 73, 327--349 (2010; Zbl 1213.74121) Full Text: DOI
Pinelli, A.; Naqavi, I. Z.; Piomelli, U.; Favier, J. Immersed-boundary methods for general finite-difference and finite-volume Navier-Stokes solvers. (English) Zbl 1427.76053 J. Comput. Phys. 229, No. 24, 9073-9091 (2010). MSC: 76D05 76M20 76M12 PDFBibTeX XMLCite \textit{A. Pinelli} et al., J. Comput. Phys. 229, No. 24, 9073--9091 (2010; Zbl 1427.76053) Full Text: DOI
Gil, A. J.; Carreño, A. Arranz; Bonet, J.; Hassan, O. The Immersed Structural Potential Method for haemodynamic applications. (English) Zbl 1198.92010 J. Comput. Phys. 229, No. 22, 8613-8641 (2010). MSC: 92C35 76D05 76M99 92C30 PDFBibTeX XMLCite \textit{A. J. Gil} et al., J. Comput. Phys. 229, No. 22, 8613--8641 (2010; Zbl 1198.92010) Full Text: DOI
Nordsletten, D.; Kay, D.; Smith, N. A non-conforming monolithic finite element method for problems of coupled mechanics. (English) Zbl 1425.74162 J. Comput. Phys. 229, No. 20, 7571-7593 (2010). MSC: 74F10 74S05 65N55 74B20 35Q30 PDFBibTeX XMLCite \textit{D. Nordsletten} et al., J. Comput. Phys. 229, No. 20, 7571--7593 (2010; Zbl 1425.74162) Full Text: DOI
Sugiyama, Kazuyasu; Ii, Satoshi; Takeuchi, Shintaro; Takagi, Shu; Matsumoto, Yoichiro Full Eulerian simulations of biconcave neo-Hookean particles in a Poiseuille flow. (English) Zbl 1301.76078 Comput. Mech. 46, No. 1, 147-157 (2010). MSC: 76T20 74F10 76M20 76Z05 PDFBibTeX XMLCite \textit{K. Sugiyama} et al., Comput. Mech. 46, No. 1, 147--157 (2010; Zbl 1301.76078) Full Text: DOI
Wang, Xingshi; Zhang, Lucy T. Interpolation functions in the immersed boundary and finite element methods. (English) Zbl 1362.74035 Comput. Mech. 45, No. 4, 321-334 (2010). MSC: 74S05 74F10 PDFBibTeX XMLCite \textit{X. Wang} and \textit{L. T. Zhang}, Comput. Mech. 45, No. 4, 321--334 (2010; Zbl 1362.74035) Full Text: DOI
Wang, Hongwu; Belytschko, Ted Fluid – structure interaction by the discontinuous-Galerkin method for large deformations. (English) Zbl 1195.74204 Int. J. Numer. Methods Eng. 77, No. 1, 30-49 (2009). MSC: 74S05 74F10 PDFBibTeX XMLCite \textit{H. Wang} and \textit{T. Belytschko}, Int. J. Numer. Methods Eng. 77, No. 1, 30--49 (2009; Zbl 1195.74204) Full Text: DOI
Zhu, Luoding Interaction of two tandem deformable bodies in a viscous incompressible flow. (English) Zbl 1183.76709 J. Fluid Mech. 635, 455-475 (2009). MSC: 76D99 74F10 PDFBibTeX XMLCite \textit{L. Zhu}, J. Fluid Mech. 635, 455--475 (2009; Zbl 1183.76709) Full Text: DOI
Udoewa, V. FOIST: Fluid-object interaction subcomputation technique. (English) Zbl 1307.76062 Commun. Numer. Methods Eng. 25, No. 9, 972-990 (2009). MSC: 76M25 76G25 PDFBibTeX XMLCite \textit{V. Udoewa}, Commun. Numer. Methods Eng. 25, No. 9, 972--990 (2009; Zbl 1307.76062) Full Text: DOI
Wang, X. Sheldon; Zhang, L. T.; Liu, Wing Kam On computational issues of immersed finite element methods. (English) Zbl 1158.74049 J. Comput. Phys. 228, No. 7, 2535-2551 (2009); erratum ibid. 228, No. 18, 7125 (2009). MSC: 74S05 74F10 74-02 PDFBibTeX XMLCite \textit{X. S. Wang} et al., J. Comput. Phys. 228, No. 7, 2535--2551 (2009; Zbl 1158.74049) Full Text: DOI
Diniz dos Santos, N.; Gerbeau, J.-F.; Bourgat, J.-F. A partitioned fluid-structure algorithm for elastic thin valves with contact. (English) Zbl 1194.74383 Comput. Methods Appl. Mech. Eng. 197, No. 19-20, 1750-1761 (2008). MSC: 74S05 74F10 76M10 65M85 65M60 74K25 76D05 76Z05 PDFBibTeX XMLCite \textit{N. Diniz dos Santos} et al., Comput. Methods Appl. Mech. Eng. 197, No. 19--20, 1750--1761 (2008; Zbl 1194.74383) Full Text: DOI
Gerstenberger, Axel; Wall, Wolfgang A. An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction. (English) Zbl 1194.76117 Comput. Methods Appl. Mech. Eng. 197, No. 19-20, 1699-1714 (2008). MSC: 76M10 74S05 74F10 76D05 PDFBibTeX XMLCite \textit{A. Gerstenberger} and \textit{W. A. Wall}, Comput. Methods Appl. Mech. Eng. 197, No. 19--20, 1699--1714 (2008; Zbl 1194.76117) Full Text: DOI
Wall, Wolfgang A.; Gamnitzer, Peter; Gerstenberger, Axel Fluid-structure interaction approaches on fixed grids based on two different domain decomposition ideas. (English) Zbl 1184.76732 Int. J. Comput. Fluid Dyn. 22, No. 6, 411-427 (2008). MSC: 76M10 76D05 74F10 74S05 PDFBibTeX XMLCite \textit{W. A. Wall} et al., Int. J. Comput. Fluid Dyn. 22, No. 6, 411--427 (2008; Zbl 1184.76732) Full Text: DOI
Zhang, Lucy T.; Gay, Mickaël Imposing rigidity constraints on immersed objects in unsteady fluid flows. (English) Zbl 1194.76146 Comput. Mech. 42, No. 3, 357-370 (2008). MSC: 76M10 76D05 74F10 PDFBibTeX XMLCite \textit{L. T. Zhang} and \textit{M. Gay}, Comput. Mech. 42, No. 3, 357--370 (2008; Zbl 1194.76146) Full Text: DOI
Blanco, P. J.; Feijóo, R. A.; Dari, E. A. A variational framework for fluid-solid interaction problems based on immersed domains: Theoretical bases. (English) Zbl 1158.74347 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2353-2371 (2008). MSC: 74F10 74S30 74S05 PDFBibTeX XMLCite \textit{P. J. Blanco} et al., Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2353--2371 (2008; Zbl 1158.74347) Full Text: DOI
Kopacz, Adrian Marcin; Liu, Wing Kam; Liu, Shu Q. Simulation and prediction of endothelial cell adhesion modulated by molecular engineering. (English) Zbl 1158.76455 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2340-2352 (2008). MSC: 76Z05 76M10 76M25 74F10 92C10 PDFBibTeX XMLCite \textit{A. M. Kopacz} et al., Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2340--2352 (2008; Zbl 1158.76455) Full Text: DOI
Lee, Tae-Rin; Chang, Yoon-Suk; Choi, Jae-Boong; Kim, Do Wan; Liu, Wing Kam; Kim, Young-Jin Immersed finite element method for rigid body motions in the incompressible Navier-Stokes flow. (English) Zbl 1158.76352 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2305-2316 (2008). MSC: 76M10 76D05 70E99 PDFBibTeX XMLCite \textit{T.-R. Lee} et al., Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2305--2316 (2008; Zbl 1158.76352) 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
Zhu, Luoding; Chin, Raymond C. Y. Simulation of elastic filaments interacting with a viscous pulsatile flow. (English) Zbl 1158.76458 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2265-2274 (2008). MSC: 76Z05 76M25 74F10 92C10 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{R. C. Y. Chin}, Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2265--2274 (2008; Zbl 1158.76458) Full Text: DOI
Boffi, Daniele; Gastaldi, Lucia; Heltai, Luca; Peskin, Charles S. On the hyperelastic formulation of the immersed boundary method. (English) Zbl 1158.74523 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2210-2231 (2008). MSC: 74S30 74F10 74B20 76D05 PDFBibTeX XMLCite \textit{D. Boffi} et al., Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2210--2231 (2008; Zbl 1158.74523) Full Text: DOI
Liu, Yaling; Oh, Kieseok; Bai, John G.; Chang, Cheng-Ling; Yeo, Woonhoog; Chung, Jae-Hyun; Lee, Kyong-Hoon; Liu, Wing Kam Manipulation of nanoparticles and biomolecules by electric field and surface tension. (English) Zbl 1158.76457 Comput. Methods Appl. Mech. Eng. 197, No. 25-28, 2156-2172 (2008). MSC: 76Z05 76M25 76W05 92C10 92C35 PDFBibTeX XMLCite \textit{Y. Liu} et al., Comput. Methods Appl. Mech. Eng. 197, No. 25--28, 2156--2172 (2008; Zbl 1158.76457) Full Text: DOI
Luo, Haoxiang; Mittal, Rajat; Zheng, Xudong; Bielamowicz, Steven A.; Walsh, Raymond J.; Hahn, James K. An immersed-boundary method for flow-structure interaction in biological systems with application to phonation. (English) Zbl 1148.74048 J. Comput. Phys. 227, No. 22, 9303-9332 (2008). MSC: 74S30 74F10 74L15 74D05 76D05 PDFBibTeX XMLCite \textit{H. Luo} et al., J. Comput. Phys. 227, No. 22, 9303--9332 (2008; Zbl 1148.74048) Full Text: DOI
Zhu, Luoding Scaling laws for drag of a compliant body in an incompressible viscous flow. (English) Zbl 1146.76020 J. Fluid Mech. 607, 387-400 (2008). MSC: 76D99 74F10 PDFBibTeX XMLCite \textit{L. Zhu}, J. Fluid Mech. 607, 387--400 (2008; Zbl 1146.76020) Full Text: DOI
Hieber, S. E.; Koumoutsakos, P. An immersed boundary method for smoothed particle hydrodynamics of self-propelled swimmers. (English) Zbl 1227.76052 J. Comput. Phys. 227, No. 19, 8636-8654 (2008). MSC: 76M28 76M25 76Z10 PDFBibTeX XMLCite \textit{S. E. Hieber} and \textit{P. Koumoutsakos}, J. Comput. Phys. 227, No. 19, 8636--8654 (2008; Zbl 1227.76052) 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
Zhao, Hong; Freund, Jonathan B.; Moser, Robert D. A fixed-mesh method for incompressible flow-structure systems with finite solid deformations. (English) Zbl 1329.74313 J. Comput. Phys. 227, No. 6, 3114-3140 (2008). MSC: 74S30 76M25 74F10 PDFBibTeX XMLCite \textit{H. Zhao} et al., J. Comput. Phys. 227, No. 6, 3114--3140 (2008; Zbl 1329.74313) Full Text: DOI
Liu, Wing Kam; Kim, Do Wan; Tang, Shaoqiang Mathematical foundations of the immersed finite element method. (English) Zbl 1178.74170 Comput. Mech. 39, No. 3, 211-222 (2007). MSC: 74S05 74F10 PDFBibTeX XMLCite \textit{W. K. Liu} et al., Comput. Mech. 39, No. 3, 211--222 (2007; Zbl 1178.74170) 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
Wall, Wolfgang A.; Gerstenberger, Axel; Gamnitzer, Peter; Förster, Christiane; Ramm, Ekkehard Large deformation fluid-structure interaction – advances in ALE methods and new fixed grid approaches. (English) Zbl 1323.74097 Bungartz, Hans-Joachim (ed.) et al., Fluid-structure interaction. Modelling, simulation, optimisation. Proceedings of the workshop, Hohenwart, Germany, October 2005. Berlin: Springer (ISBN 3-540-34595-7/pbk). Lecture Notes in Computational Science and Engineering 53, 195-232 (2006). MSC: 74S05 76M10 74F10 PDFBibTeX XMLCite \textit{W. A. Wall} et al., Lect. Notes Comput. Sci. Eng. 53, 195--232 (2006; Zbl 1323.74097) Full Text: DOI
Gay, Mickaël; Zhang, Lucy; Liu, Wing Kam Stent modeling using immersed finite element method. (English) Zbl 1175.74081 Comput. Methods Appl. Mech. Eng. 195, No. 33-36, 4358-4370 (2006). MSC: 74S05 74F10 74L15 92C10 PDFBibTeX XMLCite \textit{M. Gay} et al., Comput. Methods Appl. Mech. Eng. 195, No. 33--36, 4358--4370 (2006; Zbl 1175.74081) Full Text: DOI
Legay, A.; Chessa, J.; Belytschko, T. An Eulerian-Lagrangian method for fluid-structure interaction based on level sets. (English) Zbl 1119.74053 Comput. Methods Appl. Mech. Eng. 195, No. 17-18, 2070-2087 (2006). MSC: 74S30 74F10 76N15 PDFBibTeX XMLCite \textit{A. Legay} et al., Comput. Methods Appl. Mech. Eng. 195, No. 17--18, 2070--2087 (2006; Zbl 1119.74053) Full Text: DOI
Liu, Wing Kam; Liu, Yaling; Farrell, David; Zhang, Lucy; Wang, X. Sheldon; Fukui, Yoshio; Patankar, Neelesh; Zhang, Yongjie; Bajaj, Chandrajit; Lee, Junghoon; Hong, Juhee; Chen, Xinyu; Hsu, Huayi Immersed finite element method and its applications to biological systems. (English) Zbl 1178.76232 Comput. Methods Appl. Mech. Eng. 195, No. 13-16, 1722-1749 (2006); erratum 195, No. 33-36, 4655 (2006). MSC: 76M10 76Z05 74F10 76W05 92C10 92-08 PDFBibTeX XMLCite \textit{W. K. Liu} et al., Comput. Methods Appl. Mech. Eng. 195, No. 13--16, 1722--1749 (2006; Zbl 1178.76232) Full Text: DOI Link
Liu, Yaling; Liu, Wing Kam Rheology of red blood cell aggregation by computer simulation. (English) Zbl 1102.92010 J. Comput. Phys. 220, No. 1, 139-154 (2006). MSC: 92C35 92C37 65C20 76D05 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{W. K. Liu}, J. Comput. Phys. 220, No. 1, 139--154 (2006; Zbl 1102.92010) Full Text: DOI
Hughes, T. J. R.; Cottrell, J. A.; Bazilevs, Y. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement. (English) Zbl 1151.74419 Comput. Methods Appl. Mech. Eng. 194, No. 39-41, 4135-4195 (2005). MSC: 74S05 74S30 76M10 76M25 65N50 PDFBibTeX XMLCite \textit{T. J. R. Hughes} et al., Comput. Methods Appl. Mech. Eng. 194, No. 39--41, 4135--4195 (2005; Zbl 1151.74419) Full Text: DOI HAL
Marella, S.; Krishnan, S.; Liu, H.; Udaykumar, H. S. Sharp interface Cartesian grid method. I: An easily implemented technique for 3D moving boundary computations. (English) Zbl 1154.76359 J. Comput. Phys. 210, No. 1, 1-31 (2005). MSC: 76M20 65M50 PDFBibTeX XMLCite \textit{S. Marella} et al., J. Comput. Phys. 210, No. 1, 1--31 (2005; Zbl 1154.76359) Full Text: DOI
Liu, W. K.; Karpov, E. G.; Zhang, S.; Park, H. S. An introduction to computational nanomechanics and materials. (English) Zbl 1079.74506 Comput. Methods Appl. Mech. Eng. 193, No. 17-20, 1529-1578 (2004). MSC: 74A25 74M25 74-02 PDFBibTeX XMLCite \textit{W. K. Liu} et al., Comput. Methods Appl. Mech. Eng. 193, No. 17--20, 1529--1578 (2004; Zbl 1079.74506) Full Text: DOI
Zhang, Lucy; Gerstenberger, Axel; Wang, Xiaodong; Liu, Wing Kam Immersed finite element method. (English) Zbl 1067.76576 Comput. Methods Appl. Mech. Eng. 193, No. 21-22, 2051-2067 (2004). MSC: 76M10 76T20 74F10 PDFBibTeX XMLCite \textit{L. Zhang} et al., Comput. Methods Appl. Mech. Eng. 193, No. 21--22, 2051--2067 (2004; Zbl 1067.76576) Full Text: DOI