×

zbMATH — the first resource for mathematics

Lowengrub, John Samuel

Compute Distance To:
Author ID: lowengrub.john-s Recent zbMATH articles by "Lowengrub, John Samuel"
Published as: Lowengrub, J.; Lowengrub, J. S.; Lowengrub, John; Lowengrub, John S.
Homepage: http://www.math.uci.edu/~lowengrb/
External Links: MGP · Wikidata
Documents Indexed: 102 Publications since 1989
all top 5

Co-Authors

1 single-authored
17 Wise, Steven M.
14 Hou, Thomas Yizhao
12 Cristini, Vittorio
12 Li, Shuwang
12 Voigt, Axel
9 Wang, Cheng
8 Shelley, Michael J.
6 Li, Xiangrong
6 Macklin, Paul
5 Beale, J. Thomas
5 Guan, Zhen
5 Li, Xiaofan
4 Aland, Sebastian
4 Frieboes, Hermann B.
4 Goodman, Jonathan B.
4 Kim, Junseok
3 Baskaran, Arvind
3 Belmonte, Andrew
3 Chaplain, Mark A. J.
3 Guo, Zhenlin
3 Hu, Zhengzheng
3 James, Ashley J.
3 Jin, Fang
3 Konstorum, Anna
3 Leo, Perry H.
3 Nie, Qing
3 Rätz, Andreas
3 Xu, Jianjun
3 Zhao, Hongkai
3 Zheng, Xiaoming
2 Allard, Jun
2 Caflisch, Russel E.
2 Chen, Ying
2 Chuang, Yao-Li
2 Feng, Wenqiang
2 Kang, Kyungkeun
2 Lee, Hyeong-Gi
2 Li, Zhilin
2 Lin, Ping
2 McDougall, Steven R.
2 Pham, Kara
2 Sohn, Jinsun
2 Teigen, Knut Erik
2 Truskinovsky, Lev
2 Turian, Emma
2 Zhao, Meng
1 Anderson, Alexander R. A.
1 Anderson, Anthony M.
1 Angenent, Sigurd Bernardus
1 Aronson, Donald G.
1 Barua, Amlan K.
1 Bellomo, Nicola
1 Betelú, Santiago I.
1 Bingham, Richard
1 Byrne, Helen Mary
1 Chauvière, Arnaud
1 Chen, Ying
1 Chen, Ying
1 Cox, Geoffrey
1 Dosi, Giovanni
1 Egerer, Sabine
1 Feng, Hualong
1 Forni, Guido
1 Franco-de-Leon, Mariano
1 Hatzikirou, Haralambos
1 Haußer, Frank
1 He, Ong
1 Heinonen, Vili
1 Hillen, Thomas
1 Jou, Herng-Jeng
1 Knopoff, Damian A.
1 Krasny, Robert
1 Lander, Arthur D.
1 Lee, Hunki
1 Lervåg, Karl Yngve
1 Leung, Shingyu
1 Li, Bo
1 Li, Jonathan F.
1 Liu, Chun
1 Liu, Kai
1 Liu, Kai
1 Liu, Kai
1 Longmire, Ellen K.
1 Lopes Filho, Milton da Costa
1 Lu, Min-Jhe
1 Marth, Wieland
1 Merriman, Barry
1 Nussenzveig Lopes, Helena Judith
1 Shelly, M. J.
1 Shen, Jie
1 Song, Peng
1 Titi, Edriss Saleh
1 Torabi, Solmaz
1 Tseng, Yu-Hau
1 Twarock, Reidun
1 Virgillito, Maria Enrica
1 Wang, Fan
1 Welling, Max
1 Wu, Min
1 Yan, Huaming
...and 7 more Co-Authors

Publications by Year

Citations contained in zbMATH

90 Publications have been cited 2,700 times in 1,437 Documents Cited by Year
Quasi-incompressible Cahn-Hilliard fluids and topological transitions. Zbl 0927.76007
Lowengrub, J.; Truskinovsky, L.
241
1998
Removing the stiffness from interfacial flows with surface tension. Zbl 0810.76095
Hou, Thomas Y.; Lowengrub, John S.; Shelley, Michael J.
176
1994
An energy-stable and convergent finite-difference scheme for the phase field crystal equation. Zbl 1201.35027
Wise, S. M.; Wang, Cheng; Lowengrub, J. S.
127
2009
Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method. Zbl 1398.92135
Wise, S. M.; Lowengrub, J. S.; Frieboes, H. B.; Cristini, Vittorio
120
2008
Nonlinear modelling of cancer: bridging the gap between cells and tumours. Zbl 1181.92046
Lowengrub, J. S.; Frieboes, H. B.; Jin, F.; Chuang, Y-L; Li, X.; Macklin, P.; Wise, S. M.; Cristini, V.
108
2010
Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation. Zbl 1171.82015
Hu, Z.; Wise, S. M.; Wang, C.; Lowengrub, J. S.
102
2009
Conservative multigrid methods for Cahn–Hilliard fluids. Zbl 1109.76348
Kim, Junseok; Kang, Kyungkeun; Lowengrub, John
102
2004
Nonlinear simulation of tumor growth. Zbl 1023.92013
Cristini, Vittorio; Lowengrub, John; Nie, Qing
84
2003
Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching. Zbl 1311.92039
Cristini, Vittorio; Li, Xiangrong; Lowengrub, John S.; Wise, Steven M.
71
2009
A level-set method for interfacial flows with surfactant. Zbl 1161.76548
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
68
2006
A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant. Zbl 1061.76062
James, Ashley J.; Lowengrub, John
66
2004
Multiscale modelling and nonlinear simulation of vascular tumour growth. Zbl 1311.92040
Macklin, Paul; McDougall, Steven; Anderson, Alexander R. A.; Chaplain, Mark A. J.; Cristini, Vittorio; Lowengrub, John
63
2009
Growth rates for the linearized motion of fluid interfaces away from equilibrium. Zbl 0796.76041
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John S.
57
1993
Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method. Zbl 1310.82044
Wise, Steven; Kim, Junseok; Lowengrub, John
56
2007
The long-time motion of vortex sheets with surface tension. Zbl 1185.76545
Hou, T. Y.; Lowengrub, J. S.; Shelly, M. J.
56
1997
A diffuse-interface method for two-phase flows with soluble surfactants. Zbl 1428.76210
Teigen, Knut Erik; Song, Peng; Lowengrub, John; Voigt, Axel
53
2011
Boundary integral methods for multicomponent fluids and multiphase materials. Zbl 1046.76029
Hou, T. Y.; Lowengrub, J. S.; Shelley, M. J.
53
2001
An adaptive coupled level-set/volume-of-fluid interface capturing method for unstructured triangular grids. Zbl 1160.76377
Yang, Xiaofeng; James, Ashley J.; Lowengrub, John; Zheng, Xiaoming; Cristini, Vittorio
46
2006
Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027
Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A.
45
2009
Phase field modeling and simulation of three-phase flows. Zbl 1100.35088
Kim, Junseok; Lowengrub, John
45
2005
Modeling pinchoff and reconnection in a Hele-Shaw cell. I: The models and their calibration. Zbl 1184.76316
Lee, Hyeong-Gi; Lowengrub, J. S.; Goodman, J.
44
2002
Convergence analysis of a second order convex splitting scheme for the modified phase field crystal equation. Zbl 1401.82046
Baskaran, A.; Lowengrub, J. S.; Wang, C.; Wise, S. M.
43
2013
Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations. Zbl 1349.65298
Guan, Zhen; Lowengrub, John S.; Wang, Cheng; Wise, Steven M.
40
2014
Convergence of the point vortex method for the 2-D Euler equations. Zbl 0694.76013
Goodman, Jonathan; Hou, Thomas Y.; Lowengrub, John
39
1990
Microstructural evolution in inhomogeneous elastic media. Zbl 0880.73050
Jou, H.-J.; Leo, P. H.; Lowengrub, J. S.
38
1997
Adaptive unstructured volume remeshing. II: Application to two- and three-dimensional level-set simulations of multiphase flow. Zbl 1075.65120
Zheng, Xiaoming; Lowengrub, John; Anderson, Anthony; Cristini, Vittorio
37
2005
A diffuse-interface approach for modelling transport, diffusion and adsorption/desorption of material quantities on a deformable interface. Zbl 1186.35168
Teigen, Knut Erik; Li, Xiangrong; Lowengrub, John; Wang, Fan; Voigt, Axel
36
2009
Modeling pinchoff and reconnection in a Hele-Shaw cell. II: Analysis and simulation in the nonlinear regime. Zbl 1184.76317
Lee, Hyeong-Gi; Lowengrub, J. S.; Goodman, J.
34
2002
A new phase-field model for strongly anisotropic systems. Zbl 1186.80014
Torabi, Solmaz; Lowengrub, John; Voigt, Axel; Wise, Steven
33
2009
Evolving interfaces via gradients of geometry-dependent interior Poisson problems: application to tumor growth. Zbl 1067.65111
Macklin, Paul; Lowengrub, John
33
2005
Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation. Zbl 1349.65265
Baskaran, Arvind; Hu, Zhengzheng; Lowengrub, John S.; Wang, Cheng; Wise, Steven M.; Zhou, Peng
31
2013
Convergence of a boundary integral method for water waves. Zbl 0858.76046
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John
30
1996
An adaptive multigrid algorithm for simulating solid tumor growth using mixture models. Zbl 1211.65123
Wise, S. M.; Lowengrub, J. S.; Cristini, V.
29
2011
A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion. Zbl 1316.65089
Leung, Shingyu; Lowengrub, John; Zhao, Hongkai
28
2011
Analysis of a mixture model of tumor growth. Zbl 1292.35153
Lowengrub, John; Titi, Edriss; Zhao, Kun
26
2013
Conservative multigrid methods for ternary Cahn-Hilliard systems. Zbl 1085.65093
Kim, Junseok; Kang, Kyungkeun; Lowengrub, John
25
2004
An improved geometry-aware curvature discretization for level set methods: Application to tumor growth. Zbl 1089.92024
Macklin, Paul; Lowengrub, John
23
2006
Three-dimensional multispecies nonlinear tumor growth. II: Tumor invasion and angiogenesis. Zbl 1406.92049
Frieboes, Hermann B.; Jin, Fang; Chuang, Yao-Li; Wise, Steven M.; Lowengrub, John S.; Cristini, Vittorio
21
2010
A new ghost cell/level set method for moving boundary problems: application to tumor growth. Zbl 1203.65144
Macklin, Paul; Lowengrub, John S.
21
2008
A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law. Zbl 1349.76057
Guo, Z.; Lin, P.; Lowengrub, J. S.
19
2014
Nonlinear three-dimensional simulation of solid tumor growth. Zbl 1124.92022
Li, Xiangrong; Cristini, Vittorio; Nie, Qing; Lowengrub, John S.
19
2007
Microstructural evolution in orthotropic elastic media. Zbl 0960.74076
Leo, P. H.; Lowengrub, J. S.; Nie, Qing
19
2000
Diffuse interface models of locally inextensible vesicles in a viscous fluid. Zbl 1349.76933
Aland, Sebastian; Egerer, Sabine; Lowengrub, John; Voigt, Axel
17
2014
Two-phase flow in complex geometries: a diffuse domain approach. Zbl 1231.76200
Aland, S.; Lowengrub, J.; Voigt, A.
17
2010
Dynamics of multicomponent vesicles in a viscous fluid. Zbl 1381.76053
Sohn, Jin Sun; Tseng, Yu-Hau; Li, Shuwang; Voigt, Axel; Lowengrub, John S.
17
2010
Numerical evidence of nonuniqueness in the evolution of vortex sheets. Zbl 1124.76010
Lopes Filho, Milton C.; Lowengrub, John; Nussenzveig Lopes, Helena J.; Zheng, Yuxi
16
2006
Convergence of the vortex method for vortex sheets. Zbl 0676.76023
Caflisch, Russel E.; Lowengrub, John S.
14
1989
Multispecies model of cell lineages and feedback control in solid tumors. Zbl 1397.92381
Youssefpour, H.; Li, X.; Lander, A. D.; Lowengrub, J. S.
11
2012
Geometric evolution laws for thin crystalline films: modeling and numerics. Zbl 1364.74062
Li, Bo; Lowengrub, John; Ratz, Andreas; Voigt, Axel
11
2009
Convergence of the point vortex method for the 3-D Euler equations. Zbl 0856.76059
Hou, Thomas Y.; Lowengrub, John
11
1990
A rescaling scheme with application to the long-time simulation of viscous fingering in a Hele-Shaw cell. Zbl 1343.76048
Li, Shuwang; Lowengrub, John S.; Leo, Perry H.
10
2007
High-order and efficient methods for the vorticity formulation of the Euler equations. Zbl 0815.76068
Lowengrub, J. S.; Shelley, M. J.; Merriman, B.
10
1993
A uniquely solvable, energy stable numerical scheme for the functionalized Cahn-Hilliard equation and its convergence analysis. Zbl 1398.65208
Feng, Wenqiang; Guan, Zhen; Lowengrub, John; Wang, Cheng; Wise, Steven M.; Chen, Ying
9
2018
A continuum model of colloid-stabilized interfaces. Zbl 1308.76159
Aland, Sebastian; Lowengrub, John; Voigt, Axel
9
2011
Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization. Zbl 1395.65014
Chen, Ying; Lowengrub, John; Shen, Jie; Wang, Cheng; Wise, Steven
8
2018
Convergence analysis for second-order accurate schemes for the periodic nonlocal Allen-Cahn and Cahn-Hilliard equations. Zbl 1387.65087
Guan, Zhen; Lowengrub, John; Wang, Cheng
8
2017
Analysis of the diffuse-domain method for solving PDEs in complex geometries. Zbl 1328.65223
Lervåg, Karl Yngve; Lowengrub, John
7
2015
The effect of interstitial pressure on tumor growth: coupling with the blood and lymphatic vascular systems. Zbl 1406.92330
Wu, Min; Frieboes, Hermann B.; McDougall, Steven R.; Chaplain, Mark A. J.; Cristini, Vittorio; Lowengrub, John
7
2013
Focusing of an elongated hole in porous medium flow. Zbl 0989.35082
Angenent, S. B.; Aronson, D. G.; Betelu, S. I.; Lowengrub, J. S.
7
2001
Spatial and temporal stability issues for interfacial flows with surface tension. Zbl 0816.76050
Beale, J. T.; Hou, T. Y.; Lowengrub, J. S.; Shelley, M. J.
7
1994
Convergence of a point vortex method for vortex sheets. Zbl 0799.76062
Hou, Thomas Y.; Lowengrub, John; Krasny, Robert
7
1991
Numerical study of surfactant-laden drop-drop interactions. Zbl 1364.76165
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
6
2011
Surface phase separation and flow in a simple model of multicomponent drops and vesicles. Zbl 1153.76441
Lowengrub, J. S.; Xu, J-J.; Voigt, A.
6
2007
Topological transitions in liquid/liquid interfaces. Zbl 0929.35191
Lowengrub, J. S.; Goodman, J.; Lee, H.; Longmire, E. K.; Shelley, M. J.; Truskinovsky, L.
6
1999
Feedback regulation in a cancer stem cell model can cause an Allee effect. Zbl 1341.92029
Konstorum, Anna; Hillen, Thomas; Lowengrub, John
5
2016
Tumor growth in complex, evolving microenvironmental geometries: a diffuse domain approach. Zbl 1303.92042
Chen, Ying; Lowengrub, John S.
5
2014
Thermodynamically consistent models for two-component vesicles. Zbl 1306.92014
Haußer, Frank; Marth, Wieland; Li, Shuwang; Lowengrub, John; Rätz, Andreas; Voigt, Axel
5
2013
A mass-conservative adaptive FAS multigrid solver for cell-centered finite difference methods on block-structured, locally-Cartesian grids. Zbl 1380.65402
Feng, Wenqiang; Guo, Zhenlin; Lowengrub, John S.; Wise, Steven M.
4
2018
An interface-fitted adaptive mesh method for elliptic problems and its application in free interface problems with surface tension. Zbl 1357.65271
Zheng, Xiaoming; Lowengrub, John
4
2016
Numerical simulation of endocytosis: viscous flow driven by membranes with non-uniformly distributed curvature-inducing molecules. Zbl 1351.76067
Lowengrub, John; Allard, Jun; Aland, Sebastian
4
2016
Modeling an elastic fingering instability in a reactive Hele-Shaw flow. Zbl 1343.76011
He, Ong; Lowengrub, John; Belmonte, Andrew
4
2012
Stability of boundary integral methods for water waves. Zbl 0885.35095
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John
4
1997
The convergence of an exact desingularization for vortex methods. Zbl 0769.76045
Hou, T. Y.; Lowengrub, J.; Shelley, M. J.
4
1993
Nonlinear studies of tumor morphological stability using a two-fluid flow model. Zbl 1407.76031
Pham, Kara; Turian, Emma; Liu, Kai; Li, Shuwang; Lowengrub, John
3
2018
Three-dimensional spatiotemporal modeling of colon cancer organoids reveals that multimodal control of stem cell self-renewal is a critical determinant of size and shape in early stages of tumor growth. Zbl 1394.92068
Yan, Huaming; Konstorum, Anna; Lowengrub, John S.
3
2018
Nonlinear simulations of elastic fingering in a Hele-Shaw cell. Zbl 1382.76071
Zhao, Meng; Belmonte, Andrew; Li, Shuwang; Li, Xiaofan; Lowengrub, John
3
2016
The effect of spontaneous curvature on a two-phase vesicle. Zbl 1325.92028
Cox, Geoffrey; Lowengrub, John
3
2015
Axisymmetric multicomponent vesicles: a comparison of hydrodynamic and geometric models. Zbl 1310.92018
Sohn, Jinsun; Li, Shuwang; Li, Xiaofan; Lowengrub, John S.
3
2012
Almost optimal convergence of the point vortex method for vortex sheets using numerical filtering. Zbl 0935.76068
Caflisch, Russel E.; Hou, Thomas Y.; Lowengrub, John
3
1999
An energy stable, hexagonal finite difference scheme for the 2D phase field crystal amplitude equations. Zbl 1349.74360
Guan, Zhen; Heinonen, Vili; Lowengrub, John; Wang, Cheng; Wise, Steven M.
2
2016
The effects of cell compressibility, motility and contact inhibition on the growth of tumor cell clusters using the cellular Potts model. Zbl 1411.92140
Li, Jonathan F.; Lowengrub, John
2
2014
Locomotion, wrinkling, and budding of a multicomponent vesicle in viscous fluids. Zbl 1282.35420
Li, Shuwang; Lowengrub, John; Voigt, Axel
2
2012
Exact desingularization and local regridding for vortex methods. Zbl 0825.76647
Hou, T. Y.; Lowengrub, J.; Shelley, M. J.
2
1991
A multiscale model of virus pandemic: heterogeneous interactive entities in a globally connected world. Zbl 07263762
Bellomo, Nicola; Bingham, Richard; Chaplain, Mark A. J.; Dosi, Giovanni; Forni, Guido; Knopoff, Damian A.; Lowengrub, John; Twarock, Reidun; Virgillito, Maria Enrica
1
2020
Morphological stability of an elastic tumor-host interface. Zbl 07085936
Turian, Emma; Liu, Kai; Lowengrub, John; Li, Shuwang
1
2019
Computation of a shrinking interface in a Hele-Shaw cell. Zbl 1396.76029
Zhao, Meng; Li, Xiaofan; Ying, Wenjun; Belmonte, Andrew; Lowengrub, John; Li, Shuwang
1
2018
Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier-Stokes-Cahn-Hilliard system: primitive variable and projection-type schemes. Zbl 1439.76121
Guo, Z.; Lin, P.; Lowengrub, J.; Wise, S. M.
1
2017
Energy stable multigrid method for local and non-local hydrodynamic models for freezing. Zbl 1423.80022
Baskaran, Arvind; Guan, Zhen; Lowengrub, John
1
2016
Density-dependent quiescence in glioma invasion: instability in a simple reaction-diffusion model for the migration/proliferation dichotomy. Zbl 1448.92064
Pham, Kara; Chauviere, Arnaud; Hatzikirou, Haralambos; Li, Xiangrong; Byrne, Helen M.; Cristini, Vittorio; Lowengrub, John
1
2012
Nonlinear simulation of the effect of microenvironment on tumor growth. Zbl 07270417
Macklin, Paul; Lowengrub, John
1
2007
A multiscale model of virus pandemic: heterogeneous interactive entities in a globally connected world. Zbl 07263762
Bellomo, Nicola; Bingham, Richard; Chaplain, Mark A. J.; Dosi, Giovanni; Forni, Guido; Knopoff, Damian A.; Lowengrub, John; Twarock, Reidun; Virgillito, Maria Enrica
1
2020
Morphological stability of an elastic tumor-host interface. Zbl 07085936
Turian, Emma; Liu, Kai; Lowengrub, John; Li, Shuwang
1
2019
A uniquely solvable, energy stable numerical scheme for the functionalized Cahn-Hilliard equation and its convergence analysis. Zbl 1398.65208
Feng, Wenqiang; Guan, Zhen; Lowengrub, John; Wang, Cheng; Wise, Steven M.; Chen, Ying
9
2018
Efficient energy stable schemes for isotropic and strongly anisotropic Cahn-Hilliard systems with the Willmore regularization. Zbl 1395.65014
Chen, Ying; Lowengrub, John; Shen, Jie; Wang, Cheng; Wise, Steven
8
2018
A mass-conservative adaptive FAS multigrid solver for cell-centered finite difference methods on block-structured, locally-Cartesian grids. Zbl 1380.65402
Feng, Wenqiang; Guo, Zhenlin; Lowengrub, John S.; Wise, Steven M.
4
2018
Nonlinear studies of tumor morphological stability using a two-fluid flow model. Zbl 1407.76031
Pham, Kara; Turian, Emma; Liu, Kai; Li, Shuwang; Lowengrub, John
3
2018
Three-dimensional spatiotemporal modeling of colon cancer organoids reveals that multimodal control of stem cell self-renewal is a critical determinant of size and shape in early stages of tumor growth. Zbl 1394.92068
Yan, Huaming; Konstorum, Anna; Lowengrub, John S.
3
2018
Computation of a shrinking interface in a Hele-Shaw cell. Zbl 1396.76029
Zhao, Meng; Li, Xiaofan; Ying, Wenjun; Belmonte, Andrew; Lowengrub, John; Li, Shuwang
1
2018
Convergence analysis for second-order accurate schemes for the periodic nonlocal Allen-Cahn and Cahn-Hilliard equations. Zbl 1387.65087
Guan, Zhen; Lowengrub, John; Wang, Cheng
8
2017
Mass conservative and energy stable finite difference methods for the quasi-incompressible Navier-Stokes-Cahn-Hilliard system: primitive variable and projection-type schemes. Zbl 1439.76121
Guo, Z.; Lin, P.; Lowengrub, J.; Wise, S. M.
1
2017
Feedback regulation in a cancer stem cell model can cause an Allee effect. Zbl 1341.92029
Konstorum, Anna; Hillen, Thomas; Lowengrub, John
5
2016
An interface-fitted adaptive mesh method for elliptic problems and its application in free interface problems with surface tension. Zbl 1357.65271
Zheng, Xiaoming; Lowengrub, John
4
2016
Numerical simulation of endocytosis: viscous flow driven by membranes with non-uniformly distributed curvature-inducing molecules. Zbl 1351.76067
Lowengrub, John; Allard, Jun; Aland, Sebastian
4
2016
Nonlinear simulations of elastic fingering in a Hele-Shaw cell. Zbl 1382.76071
Zhao, Meng; Belmonte, Andrew; Li, Shuwang; Li, Xiaofan; Lowengrub, John
3
2016
An energy stable, hexagonal finite difference scheme for the 2D phase field crystal amplitude equations. Zbl 1349.74360
Guan, Zhen; Heinonen, Vili; Lowengrub, John; Wang, Cheng; Wise, Steven M.
2
2016
Energy stable multigrid method for local and non-local hydrodynamic models for freezing. Zbl 1423.80022
Baskaran, Arvind; Guan, Zhen; Lowengrub, John
1
2016
Analysis of the diffuse-domain method for solving PDEs in complex geometries. Zbl 1328.65223
Lervåg, Karl Yngve; Lowengrub, John
7
2015
The effect of spontaneous curvature on a two-phase vesicle. Zbl 1325.92028
Cox, Geoffrey; Lowengrub, John
3
2015
Second order convex splitting schemes for periodic nonlocal Cahn-Hilliard and Allen-Cahn equations. Zbl 1349.65298
Guan, Zhen; Lowengrub, John S.; Wang, Cheng; Wise, Steven M.
40
2014
A numerical method for the quasi-incompressible Cahn-Hilliard-Navier-Stokes equations for variable density flows with a discrete energy law. Zbl 1349.76057
Guo, Z.; Lin, P.; Lowengrub, J. S.
19
2014
Diffuse interface models of locally inextensible vesicles in a viscous fluid. Zbl 1349.76933
Aland, Sebastian; Egerer, Sabine; Lowengrub, John; Voigt, Axel
17
2014
Tumor growth in complex, evolving microenvironmental geometries: a diffuse domain approach. Zbl 1303.92042
Chen, Ying; Lowengrub, John S.
5
2014
The effects of cell compressibility, motility and contact inhibition on the growth of tumor cell clusters using the cellular Potts model. Zbl 1411.92140
Li, Jonathan F.; Lowengrub, John
2
2014
Convergence analysis of a second order convex splitting scheme for the modified phase field crystal equation. Zbl 1401.82046
Baskaran, A.; Lowengrub, J. S.; Wang, C.; Wise, S. M.
43
2013
Energy stable and efficient finite-difference nonlinear multigrid schemes for the modified phase field crystal equation. Zbl 1349.65265
Baskaran, Arvind; Hu, Zhengzheng; Lowengrub, John S.; Wang, Cheng; Wise, Steven M.; Zhou, Peng
31
2013
Analysis of a mixture model of tumor growth. Zbl 1292.35153
Lowengrub, John; Titi, Edriss; Zhao, Kun
26
2013
The effect of interstitial pressure on tumor growth: coupling with the blood and lymphatic vascular systems. Zbl 1406.92330
Wu, Min; Frieboes, Hermann B.; McDougall, Steven R.; Chaplain, Mark A. J.; Cristini, Vittorio; Lowengrub, John
7
2013
Thermodynamically consistent models for two-component vesicles. Zbl 1306.92014
Haußer, Frank; Marth, Wieland; Li, Shuwang; Lowengrub, John; Rätz, Andreas; Voigt, Axel
5
2013
Multispecies model of cell lineages and feedback control in solid tumors. Zbl 1397.92381
Youssefpour, H.; Li, X.; Lander, A. D.; Lowengrub, J. S.
11
2012
Modeling an elastic fingering instability in a reactive Hele-Shaw flow. Zbl 1343.76011
He, Ong; Lowengrub, John; Belmonte, Andrew
4
2012
Axisymmetric multicomponent vesicles: a comparison of hydrodynamic and geometric models. Zbl 1310.92018
Sohn, Jinsun; Li, Shuwang; Li, Xiaofan; Lowengrub, John S.
3
2012
Locomotion, wrinkling, and budding of a multicomponent vesicle in viscous fluids. Zbl 1282.35420
Li, Shuwang; Lowengrub, John; Voigt, Axel
2
2012
Density-dependent quiescence in glioma invasion: instability in a simple reaction-diffusion model for the migration/proliferation dichotomy. Zbl 1448.92064
Pham, Kara; Chauviere, Arnaud; Hatzikirou, Haralambos; Li, Xiangrong; Byrne, Helen M.; Cristini, Vittorio; Lowengrub, John
1
2012
A diffuse-interface method for two-phase flows with soluble surfactants. Zbl 1428.76210
Teigen, Knut Erik; Song, Peng; Lowengrub, John; Voigt, Axel
53
2011
An adaptive multigrid algorithm for simulating solid tumor growth using mixture models. Zbl 1211.65123
Wise, S. M.; Lowengrub, J. S.; Cristini, V.
29
2011
A grid based particle method for solving partial differential equations on evolving surfaces and modeling high order geometrical motion. Zbl 1316.65089
Leung, Shingyu; Lowengrub, John; Zhao, Hongkai
28
2011
A continuum model of colloid-stabilized interfaces. Zbl 1308.76159
Aland, Sebastian; Lowengrub, John; Voigt, Axel
9
2011
Numerical study of surfactant-laden drop-drop interactions. Zbl 1364.76165
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
6
2011
Nonlinear modelling of cancer: bridging the gap between cells and tumours. Zbl 1181.92046
Lowengrub, J. S.; Frieboes, H. B.; Jin, F.; Chuang, Y-L; Li, X.; Macklin, P.; Wise, S. M.; Cristini, V.
108
2010
Three-dimensional multispecies nonlinear tumor growth. II: Tumor invasion and angiogenesis. Zbl 1406.92049
Frieboes, Hermann B.; Jin, Fang; Chuang, Yao-Li; Wise, Steven M.; Lowengrub, John S.; Cristini, Vittorio
21
2010
Two-phase flow in complex geometries: a diffuse domain approach. Zbl 1231.76200
Aland, S.; Lowengrub, J.; Voigt, A.
17
2010
Dynamics of multicomponent vesicles in a viscous fluid. Zbl 1381.76053
Sohn, Jin Sun; Tseng, Yu-Hau; Li, Shuwang; Voigt, Axel; Lowengrub, John S.
17
2010
An energy-stable and convergent finite-difference scheme for the phase field crystal equation. Zbl 1201.35027
Wise, S. M.; Wang, Cheng; Lowengrub, J. S.
127
2009
Stable and efficient finite-difference nonlinear-multigrid schemes for the phase field crystal equation. Zbl 1171.82015
Hu, Z.; Wise, S. M.; Wang, C.; Lowengrub, J. S.
102
2009
Nonlinear simulations of solid tumor growth using a mixture model: invasion and branching. Zbl 1311.92039
Cristini, Vittorio; Li, Xiangrong; Lowengrub, John S.; Wise, Steven M.
71
2009
Multiscale modelling and nonlinear simulation of vascular tumour growth. Zbl 1311.92040
Macklin, Paul; McDougall, Steven; Anderson, Alexander R. A.; Chaplain, Mark A. J.; Cristini, Vittorio; Lowengrub, John
63
2009
Solving PDEs in complex geometries: a diffuse domain approach. Zbl 1178.35027
Li, X.; Lowengrub, J.; Rätz, A.; Voigt, A.
45
2009
A diffuse-interface approach for modelling transport, diffusion and adsorption/desorption of material quantities on a deformable interface. Zbl 1186.35168
Teigen, Knut Erik; Li, Xiangrong; Lowengrub, John; Wang, Fan; Voigt, Axel
36
2009
A new phase-field model for strongly anisotropic systems. Zbl 1186.80014
Torabi, Solmaz; Lowengrub, John; Voigt, Axel; Wise, Steven
33
2009
Geometric evolution laws for thin crystalline films: modeling and numerics. Zbl 1364.74062
Li, Bo; Lowengrub, John; Ratz, Andreas; Voigt, Axel
11
2009
Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method. Zbl 1398.92135
Wise, S. M.; Lowengrub, J. S.; Frieboes, H. B.; Cristini, Vittorio
120
2008
A new ghost cell/level set method for moving boundary problems: application to tumor growth. Zbl 1203.65144
Macklin, Paul; Lowengrub, John S.
21
2008
Solving the regularized, strongly anisotropic Cahn-Hilliard equation by an adaptive nonlinear multigrid method. Zbl 1310.82044
Wise, Steven; Kim, Junseok; Lowengrub, John
56
2007
Nonlinear three-dimensional simulation of solid tumor growth. Zbl 1124.92022
Li, Xiangrong; Cristini, Vittorio; Nie, Qing; Lowengrub, John S.
19
2007
A rescaling scheme with application to the long-time simulation of viscous fingering in a Hele-Shaw cell. Zbl 1343.76048
Li, Shuwang; Lowengrub, John S.; Leo, Perry H.
10
2007
Surface phase separation and flow in a simple model of multicomponent drops and vesicles. Zbl 1153.76441
Lowengrub, J. S.; Xu, J-J.; Voigt, A.
6
2007
Nonlinear simulation of the effect of microenvironment on tumor growth. Zbl 07270417
Macklin, Paul; Lowengrub, John
1
2007
A level-set method for interfacial flows with surfactant. Zbl 1161.76548
Xu, Jian-Jun; Li, Zhilin; Lowengrub, John; Zhao, Hongkai
68
2006
An adaptive coupled level-set/volume-of-fluid interface capturing method for unstructured triangular grids. Zbl 1160.76377
Yang, Xiaofeng; James, Ashley J.; Lowengrub, John; Zheng, Xiaoming; Cristini, Vittorio
46
2006
An improved geometry-aware curvature discretization for level set methods: Application to tumor growth. Zbl 1089.92024
Macklin, Paul; Lowengrub, John
23
2006
Numerical evidence of nonuniqueness in the evolution of vortex sheets. Zbl 1124.76010
Lopes Filho, Milton C.; Lowengrub, John; Nussenzveig Lopes, Helena J.; Zheng, Yuxi
16
2006
Phase field modeling and simulation of three-phase flows. Zbl 1100.35088
Kim, Junseok; Lowengrub, John
45
2005
Adaptive unstructured volume remeshing. II: Application to two- and three-dimensional level-set simulations of multiphase flow. Zbl 1075.65120
Zheng, Xiaoming; Lowengrub, John; Anderson, Anthony; Cristini, Vittorio
37
2005
Evolving interfaces via gradients of geometry-dependent interior Poisson problems: application to tumor growth. Zbl 1067.65111
Macklin, Paul; Lowengrub, John
33
2005
Conservative multigrid methods for Cahn–Hilliard fluids. Zbl 1109.76348
Kim, Junseok; Kang, Kyungkeun; Lowengrub, John
102
2004
A surfactant-conserving volume-of-fluid method for interfacial flows with insoluble surfactant. Zbl 1061.76062
James, Ashley J.; Lowengrub, John
66
2004
Conservative multigrid methods for ternary Cahn-Hilliard systems. Zbl 1085.65093
Kim, Junseok; Kang, Kyungkeun; Lowengrub, John
25
2004
Nonlinear simulation of tumor growth. Zbl 1023.92013
Cristini, Vittorio; Lowengrub, John; Nie, Qing
84
2003
Modeling pinchoff and reconnection in a Hele-Shaw cell. I: The models and their calibration. Zbl 1184.76316
Lee, Hyeong-Gi; Lowengrub, J. S.; Goodman, J.
44
2002
Modeling pinchoff and reconnection in a Hele-Shaw cell. II: Analysis and simulation in the nonlinear regime. Zbl 1184.76317
Lee, Hyeong-Gi; Lowengrub, J. S.; Goodman, J.
34
2002
Boundary integral methods for multicomponent fluids and multiphase materials. Zbl 1046.76029
Hou, T. Y.; Lowengrub, J. S.; Shelley, M. J.
53
2001
Focusing of an elongated hole in porous medium flow. Zbl 0989.35082
Angenent, S. B.; Aronson, D. G.; Betelu, S. I.; Lowengrub, J. S.
7
2001
Microstructural evolution in orthotropic elastic media. Zbl 0960.74076
Leo, P. H.; Lowengrub, J. S.; Nie, Qing
19
2000
Topological transitions in liquid/liquid interfaces. Zbl 0929.35191
Lowengrub, J. S.; Goodman, J.; Lee, H.; Longmire, E. K.; Shelley, M. J.; Truskinovsky, L.
6
1999
Almost optimal convergence of the point vortex method for vortex sheets using numerical filtering. Zbl 0935.76068
Caflisch, Russel E.; Hou, Thomas Y.; Lowengrub, John
3
1999
Quasi-incompressible Cahn-Hilliard fluids and topological transitions. Zbl 0927.76007
Lowengrub, J.; Truskinovsky, L.
241
1998
The long-time motion of vortex sheets with surface tension. Zbl 1185.76545
Hou, T. Y.; Lowengrub, J. S.; Shelly, M. J.
56
1997
Microstructural evolution in inhomogeneous elastic media. Zbl 0880.73050
Jou, H.-J.; Leo, P. H.; Lowengrub, J. S.
38
1997
Stability of boundary integral methods for water waves. Zbl 0885.35095
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John
4
1997
Convergence of a boundary integral method for water waves. Zbl 0858.76046
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John
30
1996
Removing the stiffness from interfacial flows with surface tension. Zbl 0810.76095
Hou, Thomas Y.; Lowengrub, John S.; Shelley, Michael J.
176
1994
Spatial and temporal stability issues for interfacial flows with surface tension. Zbl 0816.76050
Beale, J. T.; Hou, T. Y.; Lowengrub, J. S.; Shelley, M. J.
7
1994
Growth rates for the linearized motion of fluid interfaces away from equilibrium. Zbl 0796.76041
Beale, J. Thomas; Hou, Thomas Y.; Lowengrub, John S.
57
1993
High-order and efficient methods for the vorticity formulation of the Euler equations. Zbl 0815.76068
Lowengrub, J. S.; Shelley, M. J.; Merriman, B.
10
1993
The convergence of an exact desingularization for vortex methods. Zbl 0769.76045
Hou, T. Y.; Lowengrub, J.; Shelley, M. J.
4
1993
Convergence of a point vortex method for vortex sheets. Zbl 0799.76062
Hou, Thomas Y.; Lowengrub, John; Krasny, Robert
7
1991
Exact desingularization and local regridding for vortex methods. Zbl 0825.76647
Hou, T. Y.; Lowengrub, J.; Shelley, M. J.
2
1991
Convergence of the point vortex method for the 2-D Euler equations. Zbl 0694.76013
Goodman, Jonathan; Hou, Thomas Y.; Lowengrub, John
39
1990
Convergence of the point vortex method for the 3-D Euler equations. Zbl 0856.76059
Hou, Thomas Y.; Lowengrub, John
11
1990
Convergence of the vortex method for vortex sheets. Zbl 0676.76023
Caflisch, Russel E.; Lowengrub, John S.
14
1989
all top 5

Cited by 2,150 Authors

60 Lowengrub, John Samuel
34 Kim, Junseok
31 Garcke, Harald
30 Yang, Xiaofeng
29 Wise, Steven M.
26 Wang, Cheng
21 Shen, Jie
18 Lee, Hyun Geun
17 Grasselli, Maurizio
17 Voigt, Axel
17 Wang, Qi
17 Zhao, Jia
16 Gancedo, Francisco
16 Miranville, Alain M.
15 Hou, Thomas Yizhao
14 Chaplain, Mark A. J.
14 Li, Yibao
14 Liu, Chun
14 Nürnberg, Robert
13 Ceniceros, Hector D.
13 Cristini, Vittorio
13 Du, Qiang
13 Lam, Kei Fong
13 Shelley, Michael J.
12 Ambrose, David M.
12 Cordoba, Diego
12 Wang, Xiaoming
11 Abels, Helmut
11 Barrett, John W.
11 Chen, Wenbin
11 Han, Daozhi
11 Li, Shuwang
11 Oden, John Tinsley
11 Shin, Jaemin
10 Gómez, Héctor J.
10 Jeong, Darae
10 Kou, Jisheng
10 Nie, Qing
10 Rocca, Elisabetta
9 Qiao, Zhonghua
9 Sun, Shuyu
8 Aland, Sebastian
8 Anderson, Alexander R. A.
8 Feng, Wenqiang
8 Gal, Ciprian Gheorghe Sorin
8 Giorgini, Andrea
8 Helsing, Johan
8 Kotschote, Matthias
8 Lai, Mingchih
8 Lee, June-Yub
8 Li, Zhilin
8 Perthame, Benoît
8 Preziosi, Luigi
8 Siegel, Michael
8 van der Zee, Kristoffer George
8 Wu, Hao
7 Beale, J. Thomas
7 Fabrizio, Mauro
7 Frieboes, Hermann B.
7 Hu, Bei
7 Jabin, Pierre-Emmanuel
7 Kahle, Christian
7 Mikula, Karol
7 Nochetto, Ricardo Horacio
7 Tornberg, Anna-Karin
7 Walker, Shawn W.
7 Xu, Yan
7 Yue, Pengtao
7 Zhao, Hongkai
7 Zheng, Xiaoming
6 Byrne, Helen Mary
6 Calo, Victor Manuel
6 Cheng, Kelong
6 Choi, Yongho
6 Dehghan Takht Fooladi, Mehdi
6 Gong, Yuezheng
6 Guo, Ruihan
6 Hao, Wenrui
6 Hughes, Thomas J. R.
6 Kukavica, Igor
6 Li, Xiao
6 Li, Xiaoli
6 Lima, Ernesto A. B. F.
6 Macklin, Paul
6 Styles, Vanessa
6 Tang, Tao
6 Van Brummelen, Harald
6 Wang, Liqun
6 Yu, Haijun
5 Anderson, Patrick D.
5 Biros, George
5 Castro, Ángel
5 Colli, Pierluigi
5 Fefferman, Charles Louis
5 Feireisl, Eduard
5 Giesselmann, Jan
5 Guan, Zhen
5 Hawkins-Daarud, Andrea J.
5 Heida, Martin
5 Hou, Songming
...and 2,050 more Authors
all top 5

Cited in 183 Serials

293 Journal of Computational Physics
55 Journal of Theoretical Biology
51 Computer Methods in Applied Mechanics and Engineering
46 Physics of Fluids
44 Journal of Scientific Computing
41 Computers and Fluids
41 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
38 Journal of Fluid Mechanics
34 Journal of Computational and Applied Mathematics
33 Computers & Mathematics with Applications
27 SIAM Journal on Scientific Computing
26 Journal of Mathematical Biology
26 Bulletin of Mathematical Biology
21 Mathematics of Computation
21 Journal of Differential Equations
17 Archive for Rational Mechanics and Analysis
17 SIAM Journal on Numerical Analysis
17 Applied Numerical Mathematics
16 Numerische Mathematik
16 Physica D
13 Mathematical Methods in the Applied Sciences
13 Applied Mathematics and Computation
13 Engineering Analysis with Boundary Elements
11 European Journal of Applied Mathematics
11 Advances in Computational Mathematics
10 International Journal for Numerical Methods in Fluids
10 SIAM Journal on Applied Mathematics
10 Discrete and Continuous Dynamical Systems
10 Discrete and Continuous Dynamical Systems. Series B
9 Communications in Mathematical Physics
9 Journal of Mathematical Analysis and Applications
9 SIAM Journal on Mathematical Analysis
9 European Journal of Mechanics. B. Fluids
9 Nonlinear Analysis. Real World Applications
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Journal of Nonlinear Science
7 Mathematics and Computers in Simulation
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Numerical Methods for Partial Differential Equations
7 Applied Mathematics Letters
7 Journal of Mathematical Fluid Mechanics
7 Communications in Nonlinear Science and Numerical Simulation
7 Archives of Computational Methods in Engineering
7 Multiscale Modeling & Simulation
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Applied Mathematics and Optimization
6 Applied Mathematical Modelling
6 Mathematical Problems in Engineering
6 Computing and Visualization in Science
6 Interfaces and Free Boundaries
6 Discrete and Continuous Dynamical Systems. Series S
5 Applicable Analysis
5 Journal of Engineering Mathematics
5 Journal of the Mechanics and Physics of Solids
5 Nonlinearity
5 Quarterly of Applied Mathematics
5 Chinese Annals of Mathematics. Series B
5 Computational Mechanics
5 Communications in Partial Differential Equations
5 Mathematical Biosciences and Engineering
4 Journal of Statistical Physics
4 International Journal for Numerical Methods in Engineering
4 Inventiones Mathematicae
4 Journal of the American Mathematical Society
4 Proceedings of the National Academy of Sciences of the United States of America
4 Calculus of Variations and Partial Differential Equations
4 Computational and Applied Mathematics
4 Annals of Mathematics. Second Series
4 Mathematical Modelling of Natural Phenomena
3 Communications on Pure and Applied Mathematics
3 International Journal of Engineering Science
3 Journal of Mathematical Physics
3 Physica A
3 BIT
3 Journal of Functional Analysis
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Mathematical and Computer Modelling
3 Asymptotic Analysis
3 Japan Journal of Industrial and Applied Mathematics
3 Numerical Algorithms
3 SIAM Review
3 Continuum Mechanics and Thermodynamics
3 Computational Geosciences
3 Living Reviews in Relativity
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Milan Journal of Mathematics
3 International Journal of Advances in Engineering Sciences and Applied Mathematics
3 East Asian Journal on Applied Mathematics
3 SIAM/ASA Journal on Uncertainty Quantification
2 Computer Physics Communications
2 International Journal of Heat and Mass Transfer
2 Inverse Problems
2 Mathematical Biosciences
2 Theoretical and Computational Fluid Dynamics
2 Chaos, Solitons and Fractals
2 Advances in Mathematics
2 Calcolo
2 Meccanica
2 SIAM Journal on Control and Optimization
2 Applications of Mathematics
...and 83 more Serials
all top 5

Cited in 41 Fields

754 Fluid mechanics (76-XX)
654 Partial differential equations (35-XX)
592 Numerical analysis (65-XX)
299 Biology and other natural sciences (92-XX)
145 Mechanics of deformable solids (74-XX)
111 Statistical mechanics, structure of matter (82-XX)
61 Classical thermodynamics, heat transfer (80-XX)
33 Calculus of variations and optimal control; optimization (49-XX)
29 Dynamical systems and ergodic theory (37-XX)
21 Probability theory and stochastic processes (60-XX)
18 Global analysis, analysis on manifolds (58-XX)
17 Geophysics (86-XX)
14 Integral equations (45-XX)
12 Differential geometry (53-XX)
12 Statistics (62-XX)
12 Computer science (68-XX)
11 Optics, electromagnetic theory (78-XX)
6 Ordinary differential equations (34-XX)
6 Mechanics of particles and systems (70-XX)
5 Operator theory (47-XX)
4 Real functions (26-XX)
3 Functions of a complex variable (30-XX)
3 Approximations and expansions (41-XX)
3 Functional analysis (46-XX)
3 Relativity and gravitational theory (83-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 Measure and integration (28-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Quantum theory (81-XX)
2 Operations research, mathematical programming (90-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Information and communication theory, circuits (94-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Integral transforms, operational calculus (44-XX)
1 Manifolds and cell complexes (57-XX)
1 Mathematics education (97-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.