Wang, Cheng; Sun, Pengtao An augmented Lagrangian Uzawa iterative method for solving double saddle-point systems with semidefinite (2,2) block and its application to DLM/FD method for elliptic interface problems. (English) Zbl 1473.65043 Commun. Comput. Phys. 30, No. 1, 124-143 (2021). MSC: 65F10 65F50 65N30 65N85 PDF BibTeX XML Cite \textit{C. Wang} and \textit{P. Sun}, Commun. Comput. Phys. 30, No. 1, 124--143 (2021; Zbl 1473.65043) Full Text: DOI OpenURL
Sun, Pengtao; Wang, Cheng Distributed Lagrange multiplier/fictitious domain finite element method for Stokes/parabolic interface problems with jump coefficients. (English) Zbl 1434.65276 Appl. Numer. Math. 152, 199-220 (2020). MSC: 65N30 65N85 35R05 65N12 65M12 76D07 74F10 65M20 76M10 35K10 PDF BibTeX XML Cite \textit{P. Sun} and \textit{C. Wang}, Appl. Numer. Math. 152, 199--220 (2020; Zbl 1434.65276) Full Text: DOI OpenURL
Nangia, Nishant; Patankar, Neelesh A.; Bhalla, Amneet Pal Singh A DLM immersed boundary method based wave-structure interaction solver for high density ratio multiphase flows. (English) Zbl 1453.76138 J. Comput. Phys. 398, Article ID 108804, 37 p. (2019). MSC: 76M20 76T10 74F10 74S20 65M06 76D05 65M50 PDF BibTeX XML Cite \textit{N. Nangia} et al., J. Comput. Phys. 398, Article ID 108804, 37 p. (2019; Zbl 1453.76138) Full Text: DOI arXiv OpenURL
Lundberg, Andrew; Sun, Pengtao; Wang, Cheng Distributed Lagrange multiplier-fictitious domain finite element method for Stokes interface problems. (English) Zbl 1434.65269 Int. J. Numer. Anal. Model. 16, No. 6, 939-963 (2019). MSC: 65N30 76D07 35R05 65N12 65N85 35Q35 76M10 PDF BibTeX XML Cite \textit{A. Lundberg} et al., Int. J. Numer. Anal. Model. 16, No. 6, 939--963 (2019; Zbl 1434.65269) Full Text: Link OpenURL
Wang, Cheng; Sun, Pengtao A fictitious domain method with distributed Lagrange multiplier for parabolic problems with moving interfaces. (English) Zbl 1372.65288 J. Sci. Comput. 70, No. 2, 686-716 (2017). Reviewer: Petr Sváček (Praha) MSC: 65M85 35K20 35R05 65M06 65M60 65M12 PDF BibTeX XML Cite \textit{C. Wang} and \textit{P. Sun}, J. Sci. Comput. 70, No. 2, 686--716 (2017; Zbl 1372.65288) Full Text: DOI OpenURL
Wachs, Anthony; Hammouti, Abdelkader; Vinay, Guillaume; Rahmani, Mona Accuracy of finite volume/staggered grid distributed Lagrange multiplier/fictitious domain simulations of particulate flows. (English) Zbl 1390.76530 Comput. Fluids 115, 154-172 (2015). MSC: 76M12 65M08 65Y05 76T20 PDF BibTeX XML Cite \textit{A. Wachs} et al., Comput. Fluids 115, 154--172 (2015; Zbl 1390.76530) Full Text: DOI OpenURL
Pan, Tsorng-Whay; Zhao, Shihai; Niu, Xiting; Glowinski, Roland A DLM/FD/IB method for simulating compound vesicle motion under creeping flow condition. (English) Zbl 1349.76946 J. Comput. Phys. 300, 241-253 (2015). MSC: 76Z05 76D07 76M25 92C37 PDF BibTeX XML Cite \textit{T.-W. Pan} et al., J. Comput. Phys. 300, 241--253 (2015; Zbl 1349.76946) Full Text: DOI OpenURL
Pan, Tsorng-Whay; Huang, Shih-Lin; Chen, Shih-Di; Chu, Chin-Chou; Chang, Chien-Cheng A numerical study of the motion of a neutrally buoyant cylinder in two dimensional shear flow. (English) Zbl 1290.76156 Comput. Fluids 87, 57-66 (2013). MSC: 76T20 65M60 76M10 76F10 PDF BibTeX XML Cite \textit{T.-W. Pan} et al., Comput. Fluids 87, 57--66 (2013; Zbl 1290.76156) Full Text: DOI arXiv OpenURL
Wachs, Anthony PeliGRIFF, a parallel DEM-DLM/FD direct numerical simulation tool for 3D particulate flows. (English) Zbl 1269.76088 J. Eng. Math. 71, No. 1, 131-155 (2011). MSC: 76M25 76T20 65Y05 PDF BibTeX XML Cite \textit{A. Wachs}, J. Eng. Math. 71, No. 1, 131--155 (2011; Zbl 1269.76088) Full Text: DOI OpenURL
Pan, Tsorng-Whay; Hao, Jian; Glowinski, Roland Positive definiteness preserving approaches for viscoelastic flow of Oldroyd-B fluids: applications to a lid-driven cavity flow and a particulate flow. (English) Zbl 1318.76011 Glowinski, Roland (ed.) et al., Handbook of numerical analysis. Vol XVI. Special Volume: Numerical methods for non-Newtonian fluids. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-53047-9/hbk). Handbook of Numerical Analysis 16, 433-481 (2011). MSC: 76M10 76A10 76-02 PDF BibTeX XML Cite \textit{T.-W. Pan} et al., Handb. Numer. Anal. 16, 433--481 (2011; Zbl 1318.76011) Full Text: DOI OpenURL
Wachs, Anthony Numerical simulation of steady Bingham flow through an eccentric annular cross-section by distributed Lagrange multiplier/fictitious domain and augmented Lagrangian methods. (English) Zbl 1143.76350 J. Non-Newton. Fluid Mech. 142, No. 1-3, 183-198 (2007). MSC: 76-06 76A05 74Cxx 00B25 PDF BibTeX XML Cite \textit{A. Wachs}, J. Non-Newton. Fluid Mech. 142, No. 1--3, 183--198 (2007; Zbl 1143.76350) Full Text: DOI OpenURL
Yu, Zhaosheng; Shao, Xueming; Wachs, Anthony A fictitious domain method for particulate flows with heat transfer. (English) Zbl 1160.76382 J. Comput. Phys. 217, No. 2, 424-452 (2006). MSC: 76M20 76T20 80A20 PDF BibTeX XML Cite \textit{Z. Yu} et al., J. Comput. Phys. 217, No. 2, 424--452 (2006; Zbl 1160.76382) Full Text: DOI OpenURL
Shao, Xue-Ming; Liu, Yang; Yu, Zhao-Sheng Interactions between two sedimenting particles with different sizes. (English) Zbl 1144.76485 Appl. Math. Mech., Engl. Ed. 26, No. 3, 407-414 (2005). MSC: 76T20 PDF BibTeX XML Cite \textit{X.-M. Shao} et al., Appl. Math. Mech., Engl. Ed. 26, No. 3, 407--414 (2005; Zbl 1144.76485) Full Text: DOI OpenURL
Shi, Xing; Phan-Thien, Nhan Distributed Lagrange multiplier/fictitious domain method in the framework of lattice Boltzmann method for fluid-structure interactions. (English) Zbl 1087.76543 J. Comput. Phys. 206, No. 1, 81-94 (2005). MSC: 76M28 PDF BibTeX XML Cite \textit{X. Shi} and \textit{N. Phan-Thien}, J. Comput. Phys. 206, No. 1, 81--94 (2005; Zbl 1087.76543) Full Text: DOI OpenURL
Harada, Kazutaka; Kawahara, Mutsuto An analysis of flow around a propeller using fictitous domain finite element method. (English) Zbl 1208.76089 Int. J. Energy Environ. Econ. 13, No. 1, 69-83 (2004). MSC: 76M10 76U05 PDF BibTeX XML Cite \textit{K. Harada} and \textit{M. Kawahara}, Int. J. Energy Environ. Econ. 13, No. 1, 69--83 (2004; Zbl 1208.76089) OpenURL
Yu, Zhaosheng; Phan-Thien, Nhan; Fan, Yurun; Tanner, Roger I. Viscoelastic mobility problem of a system of particles. (English) Zbl 1058.76592 J. Non-Newton. Fluid Mech. 104, No. 2-3, 87-124 (2002). MSC: 76M25 76T20 76A10 PDF BibTeX XML Cite \textit{Z. Yu} et al., J. Non-Newton. Fluid Mech. 104, No. 2--3, 87--124 (2002; Zbl 1058.76592) Full Text: DOI OpenURL
Patankar, N. A.; Singh, P.; Joseph, D. D.; Glowinski, R.; Pan, T.-W. A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows. (English) Zbl 1137.76712 Int. J. Multiphase Flow 26, No. 9, 1509-1524 (2000). MSC: 76Txx PDF BibTeX XML Cite \textit{N. A. Patankar} et al., Int. J. Multiphase Flow 26, No. 9, 1509--1524 (2000; Zbl 1137.76712) Full Text: DOI OpenURL
Pan, T.-W.; Glowinski, R.; Joseph, D. D. On the direct numerical simulation of a fluidization phenomenon by a distributed Lagrange multiplier based fictitious domain method. (English) Zbl 1006.76060 Neittaanmäki, Pekka (ed.) et al., ENUMATH 99. Numerical mathematics and advanced applications. Proceedings of the 3rd European conference, Jyväskylä, Finland, July 26-30, 1999. Singapore: World Scientific. 226-236 (2000). MSC: 76M10 76T20 PDF BibTeX XML Cite \textit{T. W. Pan} et al., in: ENUMATH 99. Numerical mathematics and advanced applications. Proceedings of the 3rd European conference, Jyväskylä, Finland, July 26--30, 1999. Singapore: World Scientific. 226--236 (2000; Zbl 1006.76060) OpenURL
Singh, P.; Joseph, D. D. Sedimentation of a sphere near a vertical wall in an Oldroyd-B fluid. (English) Zbl 0994.76012 J. Non-Newtonian Fluid Mech. 94, No. 2-3, 179-203 (2000). Reviewer: H.Ramkissoon (St.Augustine) MSC: 76A10 76T20 76M20 PDF BibTeX XML Cite \textit{P. Singh} and \textit{D. D. Joseph}, J. Non-Newton. Fluid Mech. 94, No. 2--3, 179--203 (2000; Zbl 0994.76012) Full Text: DOI OpenURL
Singh, P.; Joseph, D. D.; Hesla, T. I.; Glowinski, R.; Pan, T.-W. A distributed Lagrange multiplier/fictitious domain method for viscoelastic particulate flows. (English) Zbl 0972.76080 J. Non-Newtonian Fluid Mech. 91, No. 2-3, 165-188 (2000). MSC: 76M25 76A10 76T20 PDF BibTeX XML Cite \textit{P. Singh} et al., J. Non-Newton. Fluid Mech. 91, No. 2--3, 165--188 (2000; Zbl 0972.76080) Full Text: DOI OpenURL
Glowinski, R.; Pan, T.-W.; Hesla, T. I.; Joseph, D. D. A distributed Lagrange multiplier/fictitious domain method for particulate flows. (English) Zbl 1137.76592 Int. J. Multiphase Flow 25, No. 5, 755-794 (1999). MSC: 76M20 76T20 PDF BibTeX XML Cite \textit{R. Glowinski} et al., Int. J. Multiphase Flow 25, No. 5, 755--794 (1999; Zbl 1137.76592) Full Text: DOI OpenURL