## Zabaras, Nicholas J.

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 Author ID: zabaras.nicholas-j Published as: Zabaras, Nicholas; Zabaras, N.; Zabaras, Nicholas J. more...less External Links: MGP
 Documents Indexed: 105 Publications since 1987 1 Contribution as Editor Co-Authors: 52 Co-Authors with 102 Joint Publications 1,106 Co-Co-Authors
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### Co-Authors

 2 single-authored 8 Ganapathysubramanian, Baskar 6 Bilionis, Ilias 6 Ganapathysubramanian, Shankar 6 Ma, Xiang 5 Sampath, Rajiv 5 Srikanth, Akkaram 5 Tan, Lijian 4 Ruan, Yimin 4 Samanta, Deep 4 Wang, Jingbo 3 Acharjee, Swagato 3 Chen, Peng 3 Koutsourelakis, Phaedon-Stelios 3 Schnur, D. S. 3 Sundararaghavan, Veera 3 Wan, Jiang 3 Yang, George Z. 2 Aldegunde, Manuel 2 Arif, Abul Fazal Muhammad 2 Badri Narayanan, Velamur Asokan 2 Geneva, Nicholas 2 Girolami, Mark A. 2 Kang, Shinill 2 Kristensen, Jesper Torp 2 Mukherjee, Subrata 2 Padmanabha, Govinda Anantha 2 Pervez, Tasneem 2 Velamur Asokan, Badrinarayanan 2 Zhu, Yinhao 1 Atkinson, Steven 1 Badrinarayanan, Saikrishna 1 Bao, Yangang 1 Ellam, Louis 1 Frazier, William Garth 1 Katsoulakis, Markos A. 1 Kermode, James R. 1 Konomi, Bledar A. 1 Lee, Wonjung 1 Li, Qing 1 Lin, Guang 1 Liu, Joshua C. 1 Maniatty, Antoinette M. 1 McDaniel, David J. 1 Morellas, Vassilios 1 Nair, Prasanth B. 1 Perdikaris, Paris G. 1 Richmond, Owen 1 Schöberl, Markus 1 Tolson, S. 1 Triantafyllidis, V. 1 Xia, Yingzhi 1 Xing, Weiwei
all top 5

### Serials

 41 Journal of Computational Physics 25 International Journal for Numerical Methods in Engineering 11 Computer Methods in Applied Mechanics and Engineering 6 International Journal of Heat and Mass Transfer 4 Inverse Problems 3 International Journal of Plasticity 3 Communications in Applied Numerical Methods 2 International Journal of Solids and Structures 1 Acta Mechanica 1 Computers and Structures 1 International Journal of Mechanical Sciences 1 Numerical Heat Transfer 1 SIAM Journal on Scientific Computing 1 Communications in Computational Physics 1 Statistical Analysis and Data Mining 1 Foundations of Data Science
all top 5

### Fields

 36 Fluid mechanics (76-XX) 35 Numerical analysis (65-XX) 33 Classical thermodynamics, heat transfer (80-XX) 31 Mechanics of deformable solids (74-XX) 24 Partial differential equations (35-XX) 23 Statistics (62-XX) 13 Computer science (68-XX) 11 Probability theory and stochastic processes (60-XX) 4 Geophysics (86-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

97 Publications have been cited 1,456 times in 877 Documents Cited by Year
An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations. Zbl 1161.65006
Ma, Xiang; Zabaras, Nicholas
2009
Sparse grid collocation schemes for stochastic natural convection problems. Zbl 1343.76059
2007
An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations. Zbl 1189.65019
Ma, Xiang; Zabaras, Nicholas
2010
Bayesian deep convolutional encoder-decoder networks for surrogate modeling and uncertainty quantification. Zbl 1407.62091
Zhu, Yinhao; Zabaras, Nicholas
2018
Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data. Zbl 1452.68172
Zhu, Yinhao; Zabaras, Nicholas; Koutsourelakis, Phaedon-Stelios; Perdikaris, Paris
2019
Multi-output separable Gaussian process: towards an efficient, fully Bayesian paradigm for uncertainty quantification. Zbl 1349.76760
Bilionis, Ilias; Zabaras, Nicholas; Konomi, Bledar A.; Lin, Guang
2013
A Bayesian inference approach to the inverse heat conduction problem. Zbl 1070.80002
Wang, Jingbo; Zabaras, Nicholas
2004
Hierarchical Bayesian models for inverse problems in heat conduction. Zbl 1060.62036
Wang, Jingbo; Zabaras, Nicholas
2005
Using Bayesian statistics in the estimation of heat source in radiation. Zbl 1122.80307
Wang, Jingbo; Zabaras, Nicholas
2005
Multi-output local Gaussian process regression: applications to uncertainty quantification. Zbl 1277.60066
Bilionis, Ilias; Zabaras, Nicholas
2012
An efficient Bayesian inference approach to inverse problems based on an adaptive sparse grid collocation method. Zbl 1161.62011
Ma, Xiang; Zabaras, Nicholas
2009
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 level set simulation of dendritic solidification with combined features of front-tracking and fixed-domain methods. Zbl 1161.76596
Tan, Lijian; Zabaras, Nicholas
2006
Finite element solution of two-dimensional inverse elastic problems using spatial smoothing. Zbl 0729.73202
Schnur, D. S.; Zabaras, Nicholas
1990
A stochastic variational multiscale method for diffusion in heterogeneous random media. Zbl 1106.65004
2006
Kernel principal component analysis for stochastic input model generation. Zbl 1252.65014
Ma, Xiang; Zabaras, Nicholas
2011
Variational multiscale stabilized FEM formulations for transport equations: Stochastic advection-diffusion and incompressible stochastic Navier-Stokes equations. Zbl 1061.76029
Asokan Badri Narayanan, Velamur; Zabaras, Nicholas
2005
Spatially regularized solution of inverse elasticity problems using the BEM. Zbl 0679.73039
Zabaras, N.; Morellas, V.; Schnur, D.
1989
An inverse method for determining elastic material properties and a material interface. Zbl 0767.73078
Schnur, D. S.; Zabaras, Nicholas
1992
Stochastic inverse heat conduction using a spectral approach. Zbl 1098.80008
Badri Narayanan, Velamur Asokan; Zabaras, Nicholas
2004
Investigation of regularization parameters and error estimating in inverse elasticity problems. Zbl 0801.73071
Maniatty, Antoinette M.; Zabaras, Nicholas J.
1994
A stochastic mixed finite element heterogeneous multiscale method for flow in porous media. Zbl 1416.76119
Ma, Xiang; Zabaras, Nicholas
2011
A sensitivity analysis for the optimal design of metal-forming processes. Zbl 0860.73042
1996
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
A non-linear dimension reduction methodology for generating data-driven stochastic input models. Zbl 1141.82316
2008
Uncertainty propagation in finite deformations–A spectral stochastic Lagrangian approach. Zbl 1126.74044
Acharjee, Swagato; Zabaras, Nicholas
2006
A level set simulation of dendritic solidification of multi-component alloys. Zbl 1216.80024
Tan, Lijian; Zabaras, Nicholas
2007
An analysis of solidification problems by the boundary element method. Zbl 0632.65128
Zabaras, Nicholas; Mukherjee, Subrata
1987
Solution of inverse problems with limited forward solver evaluations: a Bayesian perspective. Zbl 1292.62047
Bilionis, I.; Zabaras, N.
2014
Control of the freezing interface motion in two-dimensional solidification processes using the adjoint method. Zbl 0826.76093
Kang, Shinill; Zabaras, Nicholas
1995
Using stochastic analysis to capture unstable equilibrium in natural convection. Zbl 1115.76352
2005
A functional optimization formulation and implementation of an inverse natural convection problem. Zbl 0893.76085
Zabaras, Nicholas; Yang, George Z.
1997
Modeling the dynamics of PDE systems with physics-constrained deep auto-regressive networks. Zbl 1454.65130
Geneva, Nicholas; Zabaras, Nicholas
2020
A stabilized volume-averaging finite element method for flow in porous media and binary alloy solidification processes. Zbl 1060.76581
Zabaras, Nicholas; Samanta, Deep
2004
Uncertainty propagation using infinite mixture of gaussian processes and variational Bayesian inference. Zbl 1351.76277
Chen, Peng; Zabaras, Nicholas; Bilionis, Ilias
2015
Srikanth, Akkaram; Zabaras, Nicholas
2000
A Bayesian approach to multiscale inverse problems using the sequential Monte Carlo method. Zbl 1228.65009
Wan, Jiang; Zabaras, Nicholas
2011
A probabilistic graphical model approach to stochastic multiscale partial differential equations. Zbl 1349.65036
Wan, Jiang; Zabaras, Nicholas
2013
Design across length scales: a reduced-order model of polycrystal plasticity for the control of microstructure-sensitive material properties. Zbl 1112.74353
Ganapathysubramanian, Shankar; Zabaras, Nicholas
2004
A Markov random field model of contamination source identification in porous media flow. Zbl 1189.76615
Wang, Jingbo; Zabaras, Nicholas
2006
A continuum sensitivity method for the design of multi-stage metal forming processes. Zbl 1116.74405
Zabaras, Nicholas; Ganapathysubramanian, Shankar; Li, Qing
2003
A continuum sensitivity method for finite thermo-inelastic deformations with applications to the design of hot forming processes. Zbl 1026.74022
Ganapathysubramanian, Shankar; Zabaras, Nicholas
2002
Control of the freezing interface morphology in solidification processes in the presence of natural convection. Zbl 0826.76096
Zabaras, Nicholas; Nguyen, T. Hung
1995
The adjoint method for an inverse design problem in the directional solidification of binary alloys. Zbl 0926.65097
Yang, George Z.; Zabaras, Nicholas
1998
On the solution of an ill-posed design solidification problem using minimization techniques in finite- and infinite-dimensional function spaces. Zbl 0805.76035
Zabaras, Nicholas; Kang, Shinill
1993
A concurrent model reduction approach on spatial and random domains for the solution of stochastic PDEs. Zbl 1110.76326
Acharjee, Swagato; Zabaras, Nicholas
2006
Multidimensional adaptive relevance vector machines for uncertainty quantification. Zbl 1257.62024
Bilionis, Ilias; Zabaras, Nicholas
2012
Manifold learning for the emulation of spatial fields from computational models. Zbl 1373.68340
Xing, W. W.; Triantafyllidis, V.; Shah, A. A.; Nair, P. B.; Zabaras, N.
2016
Quantifying model form uncertainty in Reynolds-averaged turbulence models with Bayesian deep neural networks. Zbl 1451.76059
Geneva, Nicholas; Zabaras, Nicholas
2019
An object-oriented implementation of a front tracking finite element method for directional solidification processes. Zbl 0943.76052
Sampath, Rajiv; Zabaras, Nicholas
1999
A continuum Lagrangian sensitivity analysis for metal forming processes with applications to die design problems. Zbl 0987.74052
Zabaras, Nicholas; Bao, Yangang; Srikanth, Akkaram; Frazier, William Garth
2000
A functional optimization approach to an inverse magneto-convection problem. Zbl 1063.76109
Sampath, Rajiv; Zabaras, Nicholas
2001
An adjoint method for the inverse design of solidification processes with natural convection. Zbl 0912.76036
Yang, George Z.; Zabaras, Nicholas
1998
A deformation finite element method analysis of inverse Stefan problems. Zbl 0678.65088
Zabaras, Nicholas; Ruan, Yimin
1989
An updated Lagrangian finite element sensitivity analysis of large deformations uisng quadrilateral elements. Zbl 1052.74055
Srikanth, Akkaram; Zabaras, Nicholas
2001
A computational model for the finite element analysis of thermoplasticity coupled with ductile damage at finite strains. Zbl 0943.74073
Srikanth, Akkaram; Zabaras, Nicholas
1999
An analysis of two-dimensional linear inverse heat transfer problems using an integral method. Zbl 0668.76123
Zabaras, Nicholas; Liu, Joshua C.
1988
Design of microstructure-sensitive properties in elasto-viscoplastic polycrystals using multi-scale homogenization. Zbl 1136.74315
Sundararaghavan, Veera; Zabaras, Nicholas
2006
A stabilized stochastic finite element second-order projection method for modeling natural convection in random porous media. Zbl 1163.76029
Ma, Xiang; Zabaras, Nicholas
2008
Modeling the growth and interaction of multiple dendrites in solidification using a level set method. Zbl 1310.80002
Tan, Lijian; Zabaras, Nicholas
2007
The continuum sensitivity method for the computational design of three-dimensional deformation processes. Zbl 1120.74698
Acharjee, Swagato; Zabaras, Nicholas
2006
A Bayesian approach to multiscale inverse problems with on-the-fly scale determination. Zbl 1380.62109
Ellam, Louis; Zabaras, Nicholas; Girolami, Mark
2016
Computational design of deformation processes for materials with ductile damage. Zbl 1018.74032
Ganapathysubramanian, Shankar; Zabaras, Nicholas
2003
Multiscale modeling of alloy solidification using a database approach. Zbl 1388.80007
Tan, Lijian; Zabaras, Nicholas
2007
Predictive coarse-graining. Zbl 1375.82044
Schöberl, Markus; Zabaras, Nicholas; Koutsourelakis, Phaedon-Stelios
2017
Structured Bayesian Gaussian process latent variable model: applications to data-driven dimensionality reduction and high-dimensional inversion. Zbl 1451.62095
Atkinson, Steven; Zabaras, Nicholas
2019
An object-oriented framework for the implementation of adjoint techniques in the design and control of complex continuum systems. Zbl 0964.65105
Sampath, Rajiv; Zabaras, Nicholas
2000
A least-squares front-tracking finite element method analysis of phase change with natural convection. Zbl 0814.76060
McDaniel, David J.; Zabaras, Nicholas
1994
A family of integration algorithms for constitutive equations in finite deformation elasto-viscoplasticity. Zbl 0758.73056
Zabaras, Nicholas; Arif, Abul Fazal Muhammad
1992
On the performance of two tangent operators for finite element analysis of large deformation inelastic problems. Zbl 0768.73067
Arif, Abul Fazal M.; Zabaras, Nicholas
1992
Modeling the thermoelastic–viscoplastic response of polycrystals using a continuum representation over the orientation space. Zbl 1112.74337
Ganapathysubramanian, Shankar; Zabaras, Nicholas
2005
An inverse finite-element technique to determine the change of phase interface location in two-dimensional melting problems. Zbl 0727.65114
Ruan, Yimin; Zabaras, Nicholas
1991
Modeling multiscale diffusion processes in random heterogeneous media. Zbl 1194.74052
2008
Modelling convection in solidification processes using stabilized finite element techniques. Zbl 1122.76350
Samanta, Deep; Zabaras, Nicholas
2005
On the control of solidification using magnetic fields and magnetic field gradients. Zbl 1188.76268
2005
A probabilistic graphical model based stochastic input model construction. Zbl 1349.62301
Wan, Jiang; Zabaras, Nicholas
2014
An object-oriented programming approach to the Lagrangian FEM analysis of large inelastic deformations and metal-forming processes. Zbl 0935.74074
Zabaras, Nicholas; Srikanth, Akkaram
1999
Finite element analysis of progressive failure in laminated composite plates. Zbl 0825.73704
Tolson, S.; Zabaras, N.
1991
Deformation process design for control of microstructure in the presence of dynamic recrystallization and grain growth mechanisms. Zbl 1106.74381
Ganapathysubramanian, Shankar; Zabaras, Nicholas
2004
Development of an exchange-correlation functional with uncertainty quantification capabilities for density functional theory. Zbl 1349.81038
Aldegunde, Manuel; Kermode, James R.; Zabaras, Nicholas
2016
Special issue: Big data and predictive computational modeling. Zbl 1349.00279
Koutsourelakis, P. S.; Zabaras, N.; Girolami, M.
2016
Adjoint methods for inverse free convection problems with application to solidification processes. Zbl 1041.76558
Zabaras, Nicholas
1998
A theory for small deformation analysis of growing bodies with an application to the winding of magnetic tape packs. Zbl 0862.73009
Zabaras, N.; Liu, S.
1995
Inverse design of directional solidification processes in the presence of a strong external magnetic field. Zbl 1020.76057
Sampath, Rajiv; Zabaras, Nicholas
2001
Numerical study of convection in the directional solidification of a binary alloy driven by the combined action of buoyancy, surface tension, and electromagnetic forces. Zbl 0984.80004
Sampath, Rajiv; Zabaras, Nicholas
2001
Moving and deforming finite-element simulation of two-dimensional Stefan problems. Zbl 0713.65083
Zabaras, Nicholas; Ruan, Yimin
1990
Numerical study of macrosegregation in Aluminum alloys solidifying on uneven surfaces. Zbl 1189.76704
Samanta, Deep; Zabaras, Nicholas
2005
A nonparametric belief propagation method for uncertainty quantification with applications to flow in random porous media. Zbl 1349.65045
Chen, Peng; Zabaras, Nicholas
2013
Solidification problems by the boundary element method. Zbl 0946.76514
Zabaras, Nicholas; Mukherjee, Subrata
1994
Transient dynamic and damping analysis of laminated anisotropic plates using a refined plate theory. Zbl 0825.73830
Pervez, Tasneem; Zabaras, Nicholas
1992
Front tracking thermomechanical model for hypoelastic-viscoplastic behavior in a solidifying body. Zbl 0724.73219
Zabaras, Nicholas; Ruan, Yimin; Richmond, Owen
1990
A multi-length scale sensitivity analysis for the control of texture-dependent properties in deformation processing. Zbl 1338.74021
Sundararaghavan, Veera; Zabaras, Nicholas
2008
Adaptive locally weighted projection regression method for uncertainty quantification. Zbl 1384.60009
Chen, Peng; Zabaras, Nicholas
2013
Special issue: Predictive multiscale materials modeling. Zbl 1415.00012
2017
Solving inverse problems using conditional invertible neural networks. Zbl 07501600
2021
Solving inverse problems using conditional invertible neural networks. Zbl 07501600
2021
Modeling the dynamics of PDE systems with physics-constrained deep auto-regressive networks. Zbl 1454.65130
Geneva, Nicholas; Zabaras, Nicholas
2020
Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data. Zbl 1452.68172
Zhu, Yinhao; Zabaras, Nicholas; Koutsourelakis, Phaedon-Stelios; Perdikaris, Paris
2019
Quantifying model form uncertainty in Reynolds-averaged turbulence models with Bayesian deep neural networks. Zbl 1451.76059
Geneva, Nicholas; Zabaras, Nicholas
2019
Structured Bayesian Gaussian process latent variable model: applications to data-driven dimensionality reduction and high-dimensional inversion. Zbl 1451.62095
Atkinson, Steven; Zabaras, Nicholas
2019
Bayesian deep convolutional encoder-decoder networks for surrogate modeling and uncertainty quantification. Zbl 1407.62091
Zhu, Yinhao; Zabaras, Nicholas
2018
Predictive coarse-graining. Zbl 1375.82044
Schöberl, Markus; Zabaras, Nicholas; Koutsourelakis, Phaedon-Stelios
2017
Special issue: Predictive multiscale materials modeling. Zbl 1415.00012
2017
Manifold learning for the emulation of spatial fields from computational models. Zbl 1373.68340
Xing, W. W.; Triantafyllidis, V.; Shah, A. A.; Nair, P. B.; Zabaras, N.
2016
A Bayesian approach to multiscale inverse problems with on-the-fly scale determination. Zbl 1380.62109
Ellam, Louis; Zabaras, Nicholas; Girolami, Mark
2016
Development of an exchange-correlation functional with uncertainty quantification capabilities for density functional theory. Zbl 1349.81038
Aldegunde, Manuel; Kermode, James R.; Zabaras, Nicholas
2016
Special issue: Big data and predictive computational modeling. Zbl 1349.00279
Koutsourelakis, P. S.; Zabaras, N.; Girolami, M.
2016
Uncertainty propagation using infinite mixture of gaussian processes and variational Bayesian inference. Zbl 1351.76277
Chen, Peng; Zabaras, Nicholas; Bilionis, Ilias
2015
Solution of inverse problems with limited forward solver evaluations: a Bayesian perspective. Zbl 1292.62047
Bilionis, I.; Zabaras, N.
2014
A probabilistic graphical model based stochastic input model construction. Zbl 1349.62301
Wan, Jiang; Zabaras, Nicholas
2014
Multi-output separable Gaussian process: towards an efficient, fully Bayesian paradigm for uncertainty quantification. Zbl 1349.76760
Bilionis, Ilias; Zabaras, Nicholas; Konomi, Bledar A.; Lin, Guang
2013
A probabilistic graphical model approach to stochastic multiscale partial differential equations. Zbl 1349.65036
Wan, Jiang; Zabaras, Nicholas
2013
A nonparametric belief propagation method for uncertainty quantification with applications to flow in random porous media. Zbl 1349.65045
Chen, Peng; Zabaras, Nicholas
2013
Adaptive locally weighted projection regression method for uncertainty quantification. Zbl 1384.60009
Chen, Peng; Zabaras, Nicholas
2013
Multi-output local Gaussian process regression: applications to uncertainty quantification. Zbl 1277.60066
Bilionis, Ilias; Zabaras, Nicholas
2012
Multidimensional adaptive relevance vector machines for uncertainty quantification. Zbl 1257.62024
Bilionis, Ilias; Zabaras, Nicholas
2012
Kernel principal component analysis for stochastic input model generation. Zbl 1252.65014
Ma, Xiang; Zabaras, Nicholas
2011
A stochastic mixed finite element heterogeneous multiscale method for flow in porous media. Zbl 1416.76119
Ma, Xiang; Zabaras, Nicholas
2011
A Bayesian approach to multiscale inverse problems using the sequential Monte Carlo method. Zbl 1228.65009
Wan, Jiang; Zabaras, Nicholas
2011
An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations. Zbl 1189.65019
Ma, Xiang; Zabaras, Nicholas
2010
An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations. Zbl 1161.65006
Ma, Xiang; Zabaras, Nicholas
2009
An efficient Bayesian inference approach to inverse problems based on an adaptive sparse grid collocation method. Zbl 1161.62011
Ma, Xiang; Zabaras, Nicholas
2009
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
A stabilized stochastic finite element second-order projection method for modeling natural convection in random porous media. Zbl 1163.76029
Ma, Xiang; Zabaras, Nicholas
2008
Modeling multiscale diffusion processes in random heterogeneous media. Zbl 1194.74052
2008
A multi-length scale sensitivity analysis for the control of texture-dependent properties in deformation processing. Zbl 1338.74021
Sundararaghavan, Veera; Zabaras, Nicholas
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
A level set simulation of dendritic solidification of multi-component alloys. Zbl 1216.80024
Tan, Lijian; Zabaras, Nicholas
2007
Modeling the growth and interaction of multiple dendrites in solidification using a level set method. Zbl 1310.80002
Tan, Lijian; Zabaras, Nicholas
2007
Multiscale modeling of alloy solidification using a database approach. Zbl 1388.80007
Tan, Lijian; Zabaras, Nicholas
2007
A level set simulation of dendritic solidification with combined features of front-tracking and fixed-domain methods. Zbl 1161.76596
Tan, Lijian; Zabaras, Nicholas
2006
A stochastic variational multiscale method for diffusion in heterogeneous random media. Zbl 1106.65004
2006
Modelling dendritic solidification with melt convection using the extended finite element method. Zbl 1158.80318
Zabaras, Nicholas; Ganapathysubramanian, Baskar; Tan, Lijian
2006
Uncertainty propagation in finite deformations–A spectral stochastic Lagrangian approach. Zbl 1126.74044
Acharjee, Swagato; Zabaras, Nicholas
2006
A Markov random field model of contamination source identification in porous media flow. Zbl 1189.76615
Wang, Jingbo; Zabaras, Nicholas
2006
A concurrent model reduction approach on spatial and random domains for the solution of stochastic PDEs. Zbl 1110.76326
Acharjee, Swagato; Zabaras, Nicholas
2006
Design of microstructure-sensitive properties in elasto-viscoplastic polycrystals using multi-scale homogenization. Zbl 1136.74315
Sundararaghavan, Veera; Zabaras, Nicholas
2006
The continuum sensitivity method for the computational design of three-dimensional deformation processes. Zbl 1120.74698
Acharjee, Swagato; Zabaras, Nicholas
2006
Hierarchical Bayesian models for inverse problems in heat conduction. Zbl 1060.62036
Wang, Jingbo; Zabaras, Nicholas
2005
Using Bayesian statistics in the estimation of heat source in radiation. Zbl 1122.80307
Wang, Jingbo; Zabaras, Nicholas
2005
Variational multiscale stabilized FEM formulations for transport equations: Stochastic advection-diffusion and incompressible stochastic Navier-Stokes equations. Zbl 1061.76029
Asokan Badri Narayanan, Velamur; Zabaras, Nicholas
2005
Using stochastic analysis to capture unstable equilibrium in natural convection. Zbl 1115.76352
2005
Modeling the thermoelastic–viscoplastic response of polycrystals using a continuum representation over the orientation space. Zbl 1112.74337
Ganapathysubramanian, Shankar; Zabaras, Nicholas
2005
Modelling convection in solidification processes using stabilized finite element techniques. Zbl 1122.76350
Samanta, Deep; Zabaras, Nicholas
2005
On the control of solidification using magnetic fields and magnetic field gradients. Zbl 1188.76268
2005
Numerical study of macrosegregation in Aluminum alloys solidifying on uneven surfaces. Zbl 1189.76704
Samanta, Deep; Zabaras, Nicholas
2005
A Bayesian inference approach to the inverse heat conduction problem. Zbl 1070.80002
Wang, Jingbo; Zabaras, Nicholas
2004
Stochastic inverse heat conduction using a spectral approach. Zbl 1098.80008
Badri Narayanan, Velamur Asokan; Zabaras, Nicholas
2004
A stabilized volume-averaging finite element method for flow in porous media and binary alloy solidification processes. Zbl 1060.76581
Zabaras, Nicholas; Samanta, Deep
2004
Design across length scales: a reduced-order model of polycrystal plasticity for the control of microstructure-sensitive material properties. Zbl 1112.74353
Ganapathysubramanian, Shankar; Zabaras, Nicholas
2004
Deformation process design for control of microstructure in the presence of dynamic recrystallization and grain growth mechanisms. Zbl 1106.74381
Ganapathysubramanian, Shankar; Zabaras, Nicholas
2004
A continuum sensitivity method for the design of multi-stage metal forming processes. Zbl 1116.74405
Zabaras, Nicholas; Ganapathysubramanian, Shankar; Li, Qing
2003
Computational design of deformation processes for materials with ductile damage. Zbl 1018.74032
Ganapathysubramanian, Shankar; Zabaras, Nicholas
2003
A continuum sensitivity method for finite thermo-inelastic deformations with applications to the design of hot forming processes. Zbl 1026.74022
Ganapathysubramanian, Shankar; Zabaras, Nicholas
2002
A functional optimization approach to an inverse magneto-convection problem. Zbl 1063.76109
Sampath, Rajiv; Zabaras, Nicholas
2001
An updated Lagrangian finite element sensitivity analysis of large deformations uisng quadrilateral elements. Zbl 1052.74055
Srikanth, Akkaram; Zabaras, Nicholas
2001
Inverse design of directional solidification processes in the presence of a strong external magnetic field. Zbl 1020.76057
Sampath, Rajiv; Zabaras, Nicholas
2001
Numerical study of convection in the directional solidification of a binary alloy driven by the combined action of buoyancy, surface tension, and electromagnetic forces. Zbl 0984.80004
Sampath, Rajiv; Zabaras, Nicholas
2001
Srikanth, Akkaram; Zabaras, Nicholas
2000
A continuum Lagrangian sensitivity analysis for metal forming processes with applications to die design problems. Zbl 0987.74052
Zabaras, Nicholas; Bao, Yangang; Srikanth, Akkaram; Frazier, William Garth
2000
An object-oriented framework for the implementation of adjoint techniques in the design and control of complex continuum systems. Zbl 0964.65105
Sampath, Rajiv; Zabaras, Nicholas
2000
An object-oriented implementation of a front tracking finite element method for directional solidification processes. Zbl 0943.76052
Sampath, Rajiv; Zabaras, Nicholas
1999
A computational model for the finite element analysis of thermoplasticity coupled with ductile damage at finite strains. Zbl 0943.74073
Srikanth, Akkaram; Zabaras, Nicholas
1999
An object-oriented programming approach to the Lagrangian FEM analysis of large inelastic deformations and metal-forming processes. Zbl 0935.74074
Zabaras, Nicholas; Srikanth, Akkaram
1999
The adjoint method for an inverse design problem in the directional solidification of binary alloys. Zbl 0926.65097
Yang, George Z.; Zabaras, Nicholas
1998
An adjoint method for the inverse design of solidification processes with natural convection. Zbl 0912.76036
Yang, George Z.; Zabaras, Nicholas
1998
Adjoint methods for inverse free convection problems with application to solidification processes. Zbl 1041.76558
Zabaras, Nicholas
1998
A functional optimization formulation and implementation of an inverse natural convection problem. Zbl 0893.76085
Zabaras, Nicholas; Yang, George Z.
1997
A sensitivity analysis for the optimal design of metal-forming processes. Zbl 0860.73042
1996
Control of the freezing interface motion in two-dimensional solidification processes using the adjoint method. Zbl 0826.76093
Kang, Shinill; Zabaras, Nicholas
1995
Control of the freezing interface morphology in solidification processes in the presence of natural convection. Zbl 0826.76096
Zabaras, Nicholas; Nguyen, T. Hung
1995
A theory for small deformation analysis of growing bodies with an application to the winding of magnetic tape packs. Zbl 0862.73009
Zabaras, N.; Liu, S.
1995
Investigation of regularization parameters and error estimating in inverse elasticity problems. Zbl 0801.73071
Maniatty, Antoinette M.; Zabaras, Nicholas J.
1994
A least-squares front-tracking finite element method analysis of phase change with natural convection. Zbl 0814.76060
McDaniel, David J.; Zabaras, Nicholas
1994
Solidification problems by the boundary element method. Zbl 0946.76514
Zabaras, Nicholas; Mukherjee, Subrata
1994
On the solution of an ill-posed design solidification problem using minimization techniques in finite- and infinite-dimensional function spaces. Zbl 0805.76035
Zabaras, Nicholas; Kang, Shinill
1993
An inverse method for determining elastic material properties and a material interface. Zbl 0767.73078
Schnur, D. S.; Zabaras, Nicholas
1992
A family of integration algorithms for constitutive equations in finite deformation elasto-viscoplasticity. Zbl 0758.73056
Zabaras, Nicholas; Arif, Abul Fazal Muhammad
1992
On the performance of two tangent operators for finite element analysis of large deformation inelastic problems. Zbl 0768.73067
Arif, Abul Fazal M.; Zabaras, Nicholas
1992
Transient dynamic and damping analysis of laminated anisotropic plates using a refined plate theory. Zbl 0825.73830
Pervez, Tasneem; Zabaras, Nicholas
1992
An inverse finite-element technique to determine the change of phase interface location in two-dimensional melting problems. Zbl 0727.65114
Ruan, Yimin; Zabaras, Nicholas
1991
Finite element analysis of progressive failure in laminated composite plates. Zbl 0825.73704
Tolson, S.; Zabaras, N.
1991
Finite element solution of two-dimensional inverse elastic problems using spatial smoothing. Zbl 0729.73202
Schnur, D. S.; Zabaras, Nicholas
1990
Moving and deforming finite-element simulation of two-dimensional Stefan problems. Zbl 0713.65083
Zabaras, Nicholas; Ruan, Yimin
1990
Front tracking thermomechanical model for hypoelastic-viscoplastic behavior in a solidifying body. Zbl 0724.73219
Zabaras, Nicholas; Ruan, Yimin; Richmond, Owen
1990
Spatially regularized solution of inverse elasticity problems using the BEM. Zbl 0679.73039
Zabaras, N.; Morellas, V.; Schnur, D.
1989
A deformation finite element method analysis of inverse Stefan problems. Zbl 0678.65088
Zabaras, Nicholas; Ruan, Yimin
1989
An analysis of two-dimensional linear inverse heat transfer problems using an integral method. Zbl 0668.76123
Zabaras, Nicholas; Liu, Joshua C.
1988
An analysis of solidification problems by the boundary element method. Zbl 0632.65128
Zabaras, Nicholas; Mukherjee, Subrata
1987
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### Cited by 1,487 Authors

 52 Zabaras, Nicholas J. 26 Lin, Guang 16 Karniadakis, George Em 13 Koutsourelakis, Phaedon-Stelios 12 Xiu, Dongbin 10 Jakeman, John Davis 9 Bilionis, Ilias 9 Ganapathysubramanian, Baskar 9 Jin, Bangti 9 Marin, Liviu 9 Marzouk, Youssef M. 9 Perdikaris, Paris G. 9 Soize, Christian 9 Zhang, Dongxiao 9 Zhou, Tao 8 Aluru, Narayana R. 8 Chen, Peng 8 Congedo, Pietro Marco 8 Doostan, Alireza 8 Ghanem, Roger G. 8 Gunzburger, Max D. 8 Narayan, Akil C. 8 Tartakovsky, Daniel M. 8 Venturi, Daniele 8 Yan, Liang 8 Zhang, Zhiwen 7 Le Maître, Olivier P. 7 Matthies, Hermann Georg 6 Efendiev, Yalchin R. 6 Guo, Ling 6 Jiang, Lijian 6 Jiang, Xiaoyun 6 Lucor, Didier 6 Nobile, Fabio 6 Steinmann, Paul 6 Sun, Yi 6 Tartakovsky, Alexandre M. 6 Webster, Clayton G. 6 Yang, Zhiqiang 5 Agarwal, Nitin 5 Chakraborty, Souvik 5 Chung, Tsz Shun Eric 5 Durlofsky, Louis J. 5 Lesnic, Daniel 5 Liao, Qifeng 5 Ma, Xiang 5 Najm, Habib N. 5 Nouy, Anthony 5 Poëtte, Gaël 5 Sundararaghavan, Veera 5 Tan, Lijian 5 Willcox, Karen E. 5 Yang, Xiu 5 Zhang, Guannan 5 Zhu, Xueyu 5 Zou, Jun 4 Abgrall, Rémi 4 Aquino, Wilkins 4 Bungartz, Hans-Joachim 4 Dutta, Pradip 4 Gibou, Frédéric 4 Girolami, Mark A. 4 Grigoriu, Mircea D. 4 Iaccarino, Gianluca 4 Li, Jinglai 4 Phipps, Eric T. 4 Shields, Michael D. 4 Słota, Damian 4 Stuart, Andrew M. 4 Šukys, Jonas 4 Sun, Yao 4 Tamellini, Lorenzo 4 Tempone, Raúl F. 4 Tsilifis, Panagiotis A. 4 Wang, Jian-Xun 4 Yang, Yibo 4 Yao, Weian 4 Yotov, Ivan 3 Abdulla, Ugur G. 3 Adhikari, Sondipon 3 Arnst, Maarten 3 Baker, Nathan A. 3 Balaji, C. 3 Beck, Joakim 3 Bhattacharya, Anirban 3 Borzì, Alfio 3 Breitkopf, Piotr 3 Chang, Haibin 3 Cheng, Yingda 3 Cheung, Siu Wun 3 Cui, Tiangang 3 Dektor, Alec 3 Farcas, Ionut-Gabriel 3 Felicelli, Sergio D. 3 Franzelin, Fabian 3 Gao, Han 3 Giovanis, Dimitrios G. 3 Hou, Thomas Yizhao 3 Hu, Xiaofei 3 Huang, Cheng-Hung ...and 1,387 more Authors
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### Cited in 135 Serials

 217 Journal of Computational Physics 148 Computer Methods in Applied Mechanics and Engineering 41 International Journal for Numerical Methods in Engineering 27 SIAM Journal on Scientific Computing 23 Computational Mechanics 22 Inverse Problems in Science and Engineering 22 SIAM/ASA Journal on Uncertainty Quantification 19 Journal of Computational and Applied Mathematics 19 Engineering Analysis with Boundary Elements 18 Applied Mathematical Modelling 17 Computers & Mathematics with Applications 16 Computers and Fluids 16 Journal of Scientific Computing 11 International Journal of Heat and Mass Transfer 11 Computational Geosciences 11 Engineering Computations 9 Mathematical Problems in Engineering 9 Communications in Computational Physics 8 Applied Mathematics and Computation 8 International Journal of Computer Mathematics 7 International Journal of Numerical Methods for Heat & Fluid Flow 6 SIAM Journal on Numerical Analysis 6 European Journal of Mechanics. A. Solids 6 Archives of Computational Methods in Engineering 6 International Journal of Computational Methods 5 Acta Mechanica 5 International Journal of Solids and Structures 5 Communications in Numerical Methods in Engineering 5 Multiscale Modeling & Simulation 5 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 International Journal of Plasticity 4 Physica D 3 International Journal for Numerical Methods in Fluids 3 Journal of Fluid Mechanics 3 Journal of Mathematical Analysis and Applications 3 Mathematics and Computers in Simulation 3 Sādhanā 3 Structural and Multidisciplinary Optimization 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Applicable Analysis 2 Journal of Mathematical Physics 2 Mathematical Biosciences 2 Physica A 2 Mathematics of Computation 2 Numerical Methods for Partial Differential Equations 2 Computational Statistics 2 SIAM Review 2 Advances in Computational Mathematics 2 Mathematics and Mechanics of Solids 2 Computing and Visualization in Science 2 Communications in Nonlinear Science and Numerical Simulation 2 Optimization and Engineering 2 Computational Methods in Applied Mathematics 2 Acta Mechanica Sinica 2 Mathematical Geosciences 2 Statistics and Computing 1 International Journal of Systems Science 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of the Franklin Institute 1 Journal of the Mechanics and Physics of Solids 1 Metrika 1 Nonlinearity 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Optimization 1 Information Sciences 1 Journal of Statistical Planning and Inference 1 Kybernetika 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Applied Numerical Mathematics 1 European Journal of Applied Mathematics 1 Neural Computation 1 Applications of Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Linear Algebra and its Applications 1 Stochastic Processes and their Applications 1 Archive of Applied Mechanics 1 Journal of Nonlinear Science 1 Advances in Engineering Software 1 Continuum Mechanics and Thermodynamics 1 Computational Optimization and Applications 1 Calculus of Variations and Partial Differential Equations 1 Physics of Fluids 1 International Journal of Computer Vision 1 Computational and Applied Mathematics 1 Filomat 1 Journal of Inverse and Ill-Posed Problems 1 Annals of Mathematics and Artificial Intelligence 1 Science in China. Series E 1 Journal of Mathematical Chemistry 1 International Journal of Computational Fluid Dynamics 1 Nonlinear Dynamics 1 Vietnam Journal of Mathematics 1 Optimization Methods & Software 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Chaos ...and 35 more Serials
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### Cited in 33 Fields

 460 Numerical analysis (65-XX) 217 Mechanics of deformable solids (74-XX) 192 Partial differential equations (35-XX) 184 Fluid mechanics (76-XX) 161 Statistics (62-XX) 145 Probability theory and stochastic processes (60-XX) 113 Classical thermodynamics, heat transfer (80-XX) 99 Computer science (68-XX) 31 Geophysics (86-XX) 31 Biology and other natural sciences (92-XX) 28 Operations research, mathematical programming (90-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 20 Dynamical systems and ergodic theory (37-XX) 20 Systems theory; control (93-XX) 16 Optics, electromagnetic theory (78-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Approximations and expansions (41-XX) 9 Ordinary differential equations (34-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Information and communication theory, circuits (94-XX) 5 Special functions (33-XX) 5 Operator theory (47-XX) 5 Mechanics of particles and systems (70-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX)