Edit Profile (opens in new tab) Borden, Michael J. Co-Author Distance Author ID: borden.michael-j Published as: Borden, Michael J.; Borden, Micheal J.; Borden, Michael; Borden, M. J. more...less External Links: ORCID Documents Indexed: 19 Publications since 2008, including 1 Additional arXiv Preprint Co-Authors: 26 Co-Authors with 19 Joint Publications 694 Co-Co-Authors all top 5 Co-Authors 0 single-authored 10 Hughes, Thomas J. R. 9 Scott, Michael A. 6 Landis, Chad M. 5 Thomas, Derek C. 4 Miao, Di 4 Zou, Zhihui 3 Anvari, Amin 3 Dede’, Luca 3 Evans, John A. 3 Lee, Isaac J. 3 Verhoosel, Clemens V. 2 Schillinger, Dominik 1 Benzley, Steven E. 1 Brivadis, Ericka 1 Dornisch, Wolfgang 1 Ernst, Corey 1 Liu, Ju 1 Lo, Yu-Sheng 1 Merkley, Karl 1 Parrish, Michael 1 Rank, Ernst 1 Ravi-Chandar, Krishnaswamy 1 Sederberg, Thomas W. 1 Shepherd, Jason F. 1 Staten, Matthew L. 1 Stolarski, Henryk K. Serials 10 Computer Methods in Applied Mechanics and Engineering 2 International Journal for Numerical Methods in Engineering 1 Journal of Computational Physics 1 Journal of the Mechanics and Physics of Solids 1 Archives of Computational Methods in Engineering Fields 12 Numerical analysis (65-XX) 10 Mechanics of deformable solids (74-XX) 2 Computer science (68-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 17 Publications have been cited 1,592 times in 1,056 Documents Cited by ▼ Year ▼ A phase-field description of dynamic brittle fracture. Zbl 1253.74089 Borden, Michael J.; Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; Landis, Chad M. 431 2012 An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055 Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R. 244 2012 Isogeometric finite element data structures based on Bézier extraction of NURBS. Zbl 1242.74097 Borden, Michael J.; Scott, Michael A.; Evans, John A.; Hughes, Thomas J. R. 194 2011 A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework. Zbl 1296.74098 Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Verhoosel, Clemens V. 169 2014 Isogeometric finite element data structures based on Bézier extraction of T-splines. Zbl 1242.65243 Scott, Michael A.; Borden, Michael J.; Verhoosel, Clemens V.; Sederberg, Thomas W.; Hughes, Thomas J. R. 156 2011 A phase-field formulation for fracture in ductile materials: finite deformation balance law derivation, plastic degradation, and stress triaxiality effects. Zbl 1439.74343 Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Anvari, Amin; Lee, Isaac J. 123 2016 Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224 Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R. 99 2012 Isogeometric analysis of the advective Cahn-Hilliard equation: spinodal decomposition under shear flow. Zbl 1311.76069 Liu, Ju; Dedè, Luca; Evans, John A.; Borden, Micheal J.; Hughes, Thomas J. R. 65 2013 Isogeometric collocation for phase-field fracture models. Zbl 1423.74848 Schillinger, Dominik; Borden, Michael J.; Stolarski, Henryk K. 32 2015 Isogeometric Bézier dual mortaring: refineable higher-order spline dual bases and weakly continuous geometry. Zbl 1440.65240 Zou, Z.; Scott, M. A.; Borden, M. J.; Thomas, D. C.; Dornisch, W.; Brivadis, E. 23 2018 A phase-field model for fatigue crack growth. Zbl 1480.74019 Lo, Yu-Sheng; Borden, Michael J.; Ravi-Chandar, K.; Landis, Chad M. 20 2019 Isogeometric Bézier dual mortaring: the enriched Bézier dual basis with application to second- and fourth-order problems. Zbl 1436.65187 Miao, Di; Zou, Zhihui; Scott, Michael A.; Borden, Michael J.; Thomas, Derek C. 11 2020 Bézier \(\bar{B}\) projection. Zbl 1440.65222 Miao, Di; Borden, Michael J.; Scott, Michael A.; Thomas, Derek C. 8 2018 Methods and applications of generalized sheet insertion for hexahedral meshing. Zbl 1134.65321 Merkley, Karl; Ernst, Corey; Shepherd, Jason F.; Borden, Michael J. 6 2008 A selective approach to conformal refinement of unstructured hexahedral finite element meshes. Zbl 1134.65324 Parrish, Michael; Borden, Michael; Staten, Matthew; Benzley, Steven 5 2008 Isogeometric Bézier dual mortaring: the Kirchhoff-Love shell problem. Zbl 1506.74190 Miao, Di; Zou, Zhihui; Scott, Michael A.; Borden, Michael J.; Thomas, Derek C. 4 2021 Phase-field formulation for ductile fracture. Zbl 1493.74007 Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Anvari, Amin; Lee, Isaac J. 2 2018 Isogeometric Bézier dual mortaring: the Kirchhoff-Love shell problem. Zbl 1506.74190 Miao, Di; Zou, Zhihui; Scott, Michael A.; Borden, Michael J.; Thomas, Derek C. 4 2021 Isogeometric Bézier dual mortaring: the enriched Bézier dual basis with application to second- and fourth-order problems. Zbl 1436.65187 Miao, Di; Zou, Zhihui; Scott, Michael A.; Borden, Michael J.; Thomas, Derek C. 11 2020 A phase-field model for fatigue crack growth. Zbl 1480.74019 Lo, Yu-Sheng; Borden, Michael J.; Ravi-Chandar, K.; Landis, Chad M. 20 2019 Isogeometric Bézier dual mortaring: refineable higher-order spline dual bases and weakly continuous geometry. Zbl 1440.65240 Zou, Z.; Scott, M. A.; Borden, M. J.; Thomas, D. C.; Dornisch, W.; Brivadis, E. 23 2018 Bézier \(\bar{B}\) projection. Zbl 1440.65222 Miao, Di; Borden, Michael J.; Scott, Michael A.; Thomas, Derek C. 8 2018 Phase-field formulation for ductile fracture. Zbl 1493.74007 Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Anvari, Amin; Lee, Isaac J. 2 2018 A phase-field formulation for fracture in ductile materials: finite deformation balance law derivation, plastic degradation, and stress triaxiality effects. Zbl 1439.74343 Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Anvari, Amin; Lee, Isaac J. 123 2016 Isogeometric collocation for phase-field fracture models. Zbl 1423.74848 Schillinger, Dominik; Borden, Michael J.; Stolarski, Henryk K. 32 2015 A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework. Zbl 1296.74098 Borden, Michael J.; Hughes, Thomas J. R.; Landis, Chad M.; Verhoosel, Clemens V. 169 2014 Isogeometric analysis of the advective Cahn-Hilliard equation: spinodal decomposition under shear flow. Zbl 1311.76069 Liu, Ju; Dedè, Luca; Evans, John A.; Borden, Micheal J.; Hughes, Thomas J. R. 65 2013 A phase-field description of dynamic brittle fracture. Zbl 1253.74089 Borden, Michael J.; Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; Landis, Chad M. 431 2012 An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces. Zbl 1348.65055 Schillinger, Dominik; Dedè, Luca; Scott, Michael A.; Evans, John A.; Borden, Michael J.; Rank, Ernst; Hughes, Thomas J. R. 244 2012 Isogeometric analysis for topology optimization with a phase field model. Zbl 1354.74224 Dedè, Luca; Borden, Micheal J.; Hughes, Thomas J. R. 99 2012 Isogeometric finite element data structures based on Bézier extraction of NURBS. Zbl 1242.74097 Borden, Michael J.; Scott, Michael A.; Evans, John A.; Hughes, Thomas J. R. 194 2011 Isogeometric finite element data structures based on Bézier extraction of T-splines. Zbl 1242.65243 Scott, Michael A.; Borden, Michael J.; Verhoosel, Clemens V.; Sederberg, Thomas W.; Hughes, Thomas J. R. 156 2011 Methods and applications of generalized sheet insertion for hexahedral meshing. Zbl 1134.65321 Merkley, Karl; Ernst, Corey; Shepherd, Jason F.; Borden, Michael J. 6 2008 A selective approach to conformal refinement of unstructured hexahedral finite element meshes. Zbl 1134.65324 Parrish, Michael; Borden, Michael; Staten, Matthew; Benzley, Steven 5 2008 all cited Publications top 5 cited Publications all top 5 Cited by 1,747 Authors 54 Hughes, Thomas J. R. 35 Rabczuk, Timon 31 Schillinger, Dominik 27 Scott, Michael A. 25 de Lorenzis, Laura 24 Reali, Alessandro 23 de Borst, René 23 Wick, Thomas 22 Zhang, Yongjie Jessica 21 Evans, John A. 21 Verhoosel, Clemens V. 19 Sauer, Roger A. 19 Zhuang, Xiaoying 18 Rank, Ernst 17 Gómez, Héctor J. 16 Kollmannsberger, Stefan 15 Aldakheel, Fadi 15 Bazilevs, Yuri 15 Hesch, Christian 15 Jüttler, Bert 14 Buffa, Annalisa 14 Hsu, Ming-Chen 14 Weinberg, Kerstin 14 Wriggers, Peter 13 Dede’, Luca 13 Sun, WaiChing 13 Toshniwal, Deepesh 12 Borden, Michael J. 12 Nguyen-Thanh, Nhon 12 Van Brummelen, Harald 12 Vazquez, Rafael 11 Ambati, Marreddy 11 Bui, Tinh Quoc 11 Kapl, Mario 11 Kiendl, Josef 11 Sangalli, Giancarlo 11 Waisman, Haim 11 Wei, Xiaodong 10 Anitescu, Cosmin 10 Auricchio, Ferdinando 10 Casquero, Hugo 10 Dittmann, M. 10 Hiemstra, René R. 10 Kamensky, David 10 Kästner, Markus 10 Landis, Chad M. 10 Li, Xin 10 Natarajan, Sundararajan 10 Wheeler, Mary Fanett 9 Bordas, Stéphane Pierre Alain 9 Duong, Thang X. 9 Quarteroni, Alfio M. 9 Ruess, Martin 9 Thomas, Derek C. 9 Zhou, Kun 8 Calo, Victor Manuel 8 Hu, Ping 8 Mantzaflaris, Angelos 8 Miehe, Christian 7 Antolin, Pablo 7 Bilgen, Carola 7 Bletzinger, Kai-Uwe 7 Bouclier, Robin 7 Dolbow, John E. 7 Gerasimov, Tymofiy 7 Li, Weidong 7 Nguyen, Vinh Phu 7 Takacs, Thomas 7 Trevelyan, Jon 7 Wüchner, Roland 7 Yu, Tiantang 7 Zhu, Xuefeng 6 Cirak, Fehmi 6 Giannelli, Carlotta 6 Guo, Xu 6 Hageman, Tim 6 Hennig, Paul 6 Hirshikesh, H. 6 Kaliske, Michael 6 Li, Yibao 6 Linder, Christian 6 Liu, Lei 6 Martínez Pañeda, Emilio 6 Paggi, Marco 6 Perotto, Simona 6 Reinoso, Jose 6 Remmers, Joris J. C. 6 Speleers, Hendrik 6 Vitrih, Vito 6 Wang, Changsheng 6 Zhang, Xiangkui 6 Zou, Zhihui 5 Benson, David J. 5 Deng, Jiansong 5 Desmet, Wim 5 Duczek, Sascha 5 Düster, Alexander 5 Gao, Liang 5 Hu, Tianchen 5 Kvamsdal, Trond ...and 1,647 more Authors all top 5 Cited in 78 Serials 567 Computer Methods in Applied Mechanics and Engineering 93 Computational Mechanics 57 International Journal for Numerical Methods in Engineering 37 Journal of Computational Physics 31 Computers & Mathematics with Applications 19 European Journal of Mechanics. A. Solids 15 Engineering Analysis with Boundary Elements 13 Journal of Computational and Applied Mathematics 13 Computer Aided Geometric Design 13 Applied Mathematical Modelling 9 Meccanica 8 Computers and Fluids 8 Journal of the Mechanics and Physics of Solids 8 GAMM-Mitteilungen 7 Acta Mechanica 7 Applied Mathematics and Computation 7 Archives of Computational Methods in Engineering 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Continuum Mechanics and Thermodynamics 5 Mathematics and Mechanics of Solids 5 International Journal of Computational Methods 4 Mathematics and Computers in Simulation 4 Numerische Mathematik 4 Journal of Elasticity 4 SIAM Journal on Scientific Computing 4 Computational Geosciences 3 International Journal of Engineering Science 3 Applied Numerical Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Computer Physics Communications 2 Applied Mathematics and Optimization 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Numerical Analysis 2 Journal of Scientific Computing 2 Computational and Applied Mathematics 2 NoDEA. Nonlinear Differential Equations and Applications 2 Advances in Computational Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of Systems Science and Complexity 2 Multiscale Modeling & Simulation 2 Discrete and Continuous Dynamical Systems. Series S 2 GEM - International Journal on Geomathematics 2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 SMAI Journal of Computational Mathematics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Geometry and Physics 1 Chinese Annals of Mathematics. Series B 1 Physica D 1 ACM Transactions on Graphics 1 Numerical Methods for Partial Differential Equations 1 Numerical Algorithms 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Discrete and Continuous Dynamical Systems 1 International Journal of Computational Fluid Dynamics 1 Multibody System Dynamics 1 Chaos 1 Journal of Mathematical Fluid Mechanics 1 Optimization and Engineering 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Analysis and Applications (Singapore) 1 Acta Numerica 1 International Journal of Numerical Analysis and Modeling 1 Acta Mechanica Sinica 1 Communications in Computational Physics 1 Advances in Calculus of Variations 1 Advances in Numerical Analysis 1 Advances in Applied Mathematics and Mechanics 1 Science China. Mathematics 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Journal of Mathematics in Industry 1 Advances in Nonlinear Analysis 1 East Asian Journal on Applied Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Journal of Computational and Theoretical Transport all top 5 Cited in 26 Fields 763 Mechanics of deformable solids (74-XX) 609 Numerical analysis (65-XX) 144 Fluid mechanics (76-XX) 63 Partial differential equations (35-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 35 Approximations and expansions (41-XX) 24 Statistical mechanics, structure of matter (82-XX) 24 Biology and other natural sciences (92-XX) 17 Computer science (68-XX) 15 Classical thermodynamics, heat transfer (80-XX) 15 Operations research, mathematical programming (90-XX) 12 Geophysics (86-XX) 6 Optics, electromagnetic theory (78-XX) 5 Differential geometry (53-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Real functions (26-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) Citations by Year