# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 19 Publications since 2005
all top 5

#### Co-Authors

 0 single-authored 8 Zabaras, Nicholas J. 3 Hsu, Ming-Chen 3 Wodo, Olga 2 Kommajosula, Aditya 2 Xie, Yu 2 Xu, Songzhe 1 Darling, Carolyn N. 1 Di Carlo, Dino 1 Dyja, Robert 1 Fardad, Makan 1 Gao, Boshun 1 Garcia, Mike 1 Herrema, Austin J. 1 Kodali, Hari K. 1 Krishnamurthy, Adarsh 1 Pennathur, Sumita 1 Rajaram, Rajesh 1 Stoecklein, Daniel 1 Tan, Lijian 1 Vaidya, U. G. 1 van der Zee, Kristoffer George 1 Wiese, Nelson M. 1 Xu, Fei
all top 5

#### Serials

 7 Journal of Computational Physics 4 Computer Methods in Applied Mechanics and Engineering 2 Computers and Fluids 2 Journal of Fluid Mechanics 1 International Journal of Heat and Mass Transfer 1 Journal of Mathematical Analysis and Applications 1 SIAM Journal on Scientific Computing
all top 5

#### Fields

 12 Numerical analysis (65-XX) 9 Fluid mechanics (76-XX) 4 Partial differential equations (35-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH

14 Publications have been cited 283 times in 251 Documents Cited by Year
Sparse grid collocation schemes for stochastic natural convection problems. Zbl 1343.76059
2007
Computationally efficient solution to the Cahn-Hilliard equation: Adaptive implicit time schemes, mesh sensitivity analysis and the 3D isoperimetric problem. Zbl 1416.65364
2011
Modeling diffusion in random heterogeneous media: data-driven models, stochastic collocation and the variational multiscale method. Zbl 1124.65007
2007
A scalable framework for the solution of stochastic inverse problems using a sparse grid collocation approach. Zbl 1142.65008
Zabaras, N.; Ganapathysubramanian, B.
2008
A non-linear dimension reduction methodology for generating data-driven stochastic input models. Zbl 1141.82316
2008
A stochastic multiscale framework for modeling flow through random heterogeneous porous media. Zbl 1409.76139
Ganapathysubramanian, B.; Zabaras, N.
2009
Modelling dendritic solidification with melt convection using the extended finite element method. Zbl 1158.80318
Zabaras, Nicholas; Ganapathysubramanian, Baskar; Tan, Lijian
2006
Stability in the almost everywhere sense: a linear transfer operator approach. Zbl 1201.34085
Rajaram, R.; Vaidya, U.; Fardad, M.; Ganapathysubramanian, B.
2010
Immersogeometric analysis of moving objects in incompressible flows. Zbl 07075341
2019
Modeling multiscale diffusion processes in random heterogeneous media. Zbl 1194.74052
2008
Incompressible two-phase flow: diffuse interface approach for large density ratios, grid resolution study, and 3D patterned substrate wetting problem. Zbl 1390.76370
Xie, Yu; Wodo, Olga; Ganapathysubramanian, Baskar
2016
On the control of solidification using magnetic fields and magnetic field gradients. Zbl 1188.76268
2005
A residual-based variational multiscale method with weak imposition of boundary conditions for buoyancy-driven flows. Zbl 1441.76075
Xu, Songzhe; Gao, Boshun; Hsu, Ming-Chen; Ganapathysubramanian, Baskar
2019
A framework for parametric design optimization using isogeometric analysis. Zbl 1439.74258
Herrema, Austin J.; Wiese, Nelson M.; Darling, Carolyn N.; Ganapathysubramanian, Baskar; Krishnamurthy, Adarsh; Hsu, Ming-Chen
2017
Immersogeometric analysis of moving objects in incompressible flows. Zbl 07075341
2019
A residual-based variational multiscale method with weak imposition of boundary conditions for buoyancy-driven flows. Zbl 1441.76075
Xu, Songzhe; Gao, Boshun; Hsu, Ming-Chen; Ganapathysubramanian, Baskar
2019
A framework for parametric design optimization using isogeometric analysis. Zbl 1439.74258
Herrema, Austin J.; Wiese, Nelson M.; Darling, Carolyn N.; Ganapathysubramanian, Baskar; Krishnamurthy, Adarsh; Hsu, Ming-Chen
2017
Incompressible two-phase flow: diffuse interface approach for large density ratios, grid resolution study, and 3D patterned substrate wetting problem. Zbl 1390.76370
Xie, Yu; Wodo, Olga; Ganapathysubramanian, Baskar
2016
Computationally efficient solution to the Cahn-Hilliard equation: Adaptive implicit time schemes, mesh sensitivity analysis and the 3D isoperimetric problem. Zbl 1416.65364
2011
Stability in the almost everywhere sense: a linear transfer operator approach. Zbl 1201.34085
Rajaram, R.; Vaidya, U.; Fardad, M.; Ganapathysubramanian, B.
2010
A stochastic multiscale framework for modeling flow through random heterogeneous porous media. Zbl 1409.76139
Ganapathysubramanian, B.; Zabaras, N.
2009
A scalable framework for the solution of stochastic inverse problems using a sparse grid collocation approach. Zbl 1142.65008
Zabaras, N.; Ganapathysubramanian, B.
2008
A non-linear dimension reduction methodology for generating data-driven stochastic input models. Zbl 1141.82316
2008
Modeling multiscale diffusion processes in random heterogeneous media. Zbl 1194.74052
2008
Sparse grid collocation schemes for stochastic natural convection problems. Zbl 1343.76059
2007
Modeling diffusion in random heterogeneous media: data-driven models, stochastic collocation and the variational multiscale method. Zbl 1124.65007
2007
Modelling dendritic solidification with melt convection using the extended finite element method. Zbl 1158.80318
Zabaras, Nicholas; Ganapathysubramanian, Baskar; Tan, Lijian
2006
On the control of solidification using magnetic fields and magnetic field gradients. Zbl 1188.76268
2005
all top 5

#### Cited by 520 Authors

 14 Zabaras, Nicholas J. 11 Ganapathysubramanian, Baskar 8 Lin, Guang 8 Xiu, Dongbin 6 Aluru, Narayana R. 6 Jiang, Lijian 6 Karniadakis, George Em 6 Soize, Christian 5 Le Maître, Olivier P. 5 Ma, Xiang 5 Narayan, Akil C. 5 Nouy, Anthony 5 Zhang, Dongxiao 4 Dede, Luca 4 Ghanem, Roger G. 4 Guo, Ling 4 Jakeman, John Davis 4 Nobile, Fabio 4 Sun, Yi 4 Tempone, Raúl F. 4 Yang, Zhiqiang 4 Zhou, Tao 3 Agarwal, Nitin 3 Borzì, Alfio 3 Breitkopf, Piotr 3 Grigoriu, Mircea D. 3 Gunzburger, Max D. 3 Hsu, Ming-Chen 3 Li, Qiuqi 3 Matthies, Hermann Georg 3 Najm, Habib N. 3 Quarteroni, Alfio M. 3 Rajaram, Rajeev 3 Tamellini, Lorenzo 3 Vaidya, U. G. 3 Wang, Chong 3 Weng, Zhifeng 3 Wildey, Tim M. 3 Xia, Liang 2 Alexanderian, Alen 2 Alwan, Aravind 2 Aquino, Wilkins 2 Babaee, Hessam 2 Beck, Joakim 2 Bhattacharjee, Satyaki 2 Choi, Minseok 2 Dehghan Takht Fooladi, Mehdi 2 Dong, Hao 2 Dwight, Richard P. 2 Edeling, W. N. 2 Eldred, Michael S. 2 Evans, John A. 2 Fish, Jacob 2 Foo, Jasmine 2 Frank, Florian 2 Ghoneim, Adam Yehudi 2 Gibou, Frédéric 2 Gómez, Héctor J. 2 Guan, Tianyu 2 Guillén González, Francisco M. 2 Hou, Thomas Yizhao 2 Jeong, Darae 2 Kim, Junseok 2 Knio, Omar M. 2 Korobenko, Artem 2 Kou, Jisheng 2 Koutsourelakis, Phaedon-Stelios 2 Li, Yunlong 2 Lü, Zhenzhou 2 Matouš, Karel 2 Nair, Prasanth B. 2 Phipps, Eric T. 2 Presho, Michael 2 Rahman, Sharif 2 Rajaram, Rajesh 2 Sapsis, Themistoklis P. 2 Shi, LiangSheng 2 Tartakovsky, Alexandre M. 2 Tartakovsky, Daniel M. 2 Tavakoli, Rouhollah 2 Tierra, Giordano 2 Vaidya, Umesh 2 Venturi, Daniele 2 von Winckel, Gregory 2 Wan, Xiaoliang 2 Wang, Xiuhua 2 Webster, Clayton G. 2 Wheeler, Mary Fanett 2 Wodo, Olga 2 Wu, Yuching 2 Xiao, Jianzhuang 2 Xie, Yu 2 Xu, Menghui 2 Yan, Liang 2 Yang, Jinzhong 2 Yotov, Ivan 2 Zhai, Shuying 2 Zhang, Guannan 2 Zhu, Xueyu 1 Abbaszadeh, Mostafa ...and 420 more Authors
all top 5

#### Cited in 63 Serials

 64 Journal of Computational Physics 49 Computer Methods in Applied Mechanics and Engineering 13 SIAM Journal on Scientific Computing 11 International Journal for Numerical Methods in Engineering 9 SIAM/ASA Journal on Uncertainty Quantification 8 Journal of Scientific Computing 6 Applied Mathematical Modelling 5 Computers & Mathematics with Applications 4 Journal of Mathematical Analysis and Applications 4 Computational Mechanics 3 Acta Mechanica 3 Computers and Fluids 3 Engineering Analysis with Boundary Elements 3 Mathematical Problems in Engineering 3 European Journal of Mechanics. A. Solids 3 Archives of Computational Methods in Engineering 3 Multiscale Modeling & Simulation 3 International Journal of Computational Methods 2 Journal of Fluid Mechanics 2 Journal of Computational and Applied Mathematics 2 Physica D 2 Computing and Visualization in Science 2 Computational Geosciences 1 Applicable Analysis 1 International Journal of Control 1 International Journal of Heat and Mass Transfer 1 International Journal for Numerical Methods in Fluids 1 International Journal of Solids and Structures 1 Journal of the Mechanics and Physics of Solids 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Computation 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 European Journal of Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Archive of Applied Mechanics 1 Continuum Mechanics and Thermodynamics 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Advances in Computational Mathematics 1 Science in China. Series E 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Stochastic Environmental Research and Risk Assessment 1 Quantitative Finance 1 Matematicheskoe Modelirovanie 1 Foundations of Computational Mathematics 1 Structural and Multidisciplinary Optimization 1 Acta Numerica 1 Journal of Computational Acoustics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Inverse Problems in Science and Engineering 1 GAMM-Mitteilungen 1 Acta Mechanica Sinica 1 Frontiers of Mathematics in China 1 Mathematical Modelling of Natural Phenomena 1 Algorithms 1 Journal of Computational Dynamics 1 Mathematics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Electronic Research Archive
all top 5

#### Cited in 27 Fields

 163 Numerical analysis (65-XX) 70 Partial differential equations (35-XX) 58 Probability theory and stochastic processes (60-XX) 52 Fluid mechanics (76-XX) 51 Mechanics of deformable solids (74-XX) 31 Statistics (62-XX) 27 Classical thermodynamics, heat transfer (80-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Systems theory; control (93-XX) 6 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 5 Computer science (68-XX) 4 Approximations and expansions (41-XX) 4 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 3 Information and communication theory, circuits (94-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Wikidata Timeline

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