Edit Profile (opens in new tab) Scott, Michael A. Co-Author Distance Author ID: scott.michael-a Published as: Scott, Michael A.; Scott, M. A.; Scott, Michael; Scott, M. more...less Documents Indexed: 87 Publications since 1930, including 1 Book and 1 Additional arXiv Preprint 3 Contributions as Editor Co-Authors: 59 Co-Authors with 41 Joint Publications 1,795 Co-Co-Authors all top 5 Co-Authors 12 single-authored 21 Hughes, Thomas J. R. 12 Thomas, Derek C. 9 Borden, Michael J. 8 Zou, Zhihui 7 Barreto, Paulo S. L. M. 7 Evans, John A. 6 Miao, Di 5 Sederberg, Thomas W. 4 Galbraith, Steven D. 4 Li, Xin 4 Lynn, Ben 4 Tew, Kevin 4 Verhoosel, Clemens V. 3 Bazilevs, Yuri 3 Benger, Naomi 3 Dominguez Perez, Luis J. 3 Evans, Emily J. 3 Kachisa, Ezekiel J. 3 Sauer, Roger A. 3 Zhang, Yongjie Jessica 2 Charlemagne, Manuel 2 de Borst, René 2 Dornisch, Wolfgang 2 Estellers, Virginia 2 Granger, Robert A. 2 Hsu, Ming-Chen 2 Lin, Xibin 2 Lipton, S. 2 Ó hÉigeartaigh, Colm 2 Savitha, Eshwar J. 2 Schillinger, Dominik 2 Scott, Alexander D. 2 Simpson, Robert Napier 2 Soatto, Stefano 2 Taus, Matthias 2 Wei, Xiaodong 2 Whelan, Claire 1 Allen, Richard C. jun. 1 Bearon, Rachel N. 1 Beccari, Carolina Vittoria 1 Belibassakis, Konstadinos A. 1 Belytschko, Ted Bohdan 1 Benson, David J. 1 Benzley, Steven E. 1 Bordas, Stéphane Pierre Alain 1 Brivadis, Ericka 1 Calo, Victor Manuel 1 Chen, Renjie 1 Chevallier-Mames, Benoît 1 Childs, Bart 1 Coron, Jean-Sébastien 1 Cottrell, J. Austin 1 Cuesta, Ildefonso 1 Dahab, Ricardo 1 Daniel, James W. 1 de Lorenzis, Laura 1 De Luycker, E. 1 Dede’, Luca 1 Denman, E. 1 Devegili, Augusto Jun 1 Dimitri, Rossana 1 Engvall, Luke 1 Gerostathis, Theodoros P. 1 Ginnis, Alexandros I. 1 Gómez, Héctor J. 1 Guillevic, Aurore 1 Hankerson, Darrel R. 1 Kaklis, Panagiotis D. 1 Kostas, K. V. 1 Landis, Chad M. 1 Lian, Haojie 1 Liu, Ligang 1 Lorenzo, Guillermo 1 Maestre, Jorge 1 Marnane, William P. 1 McCullagh, Noel 1 Menezes, Alfred J. 1 Moulden, Trevor H. 1 Naccache, David 1 Neggers, Joseph 1 Owen, Steven J. 1 Page, Dan 1 Pallares, Jordi 1 Politis, C. G. 1 Rank, Ernst 1 Reali, Alessandro 1 Rodin, Gregory Jl 1 Romani, Lucia 1 Schaefer, Edward F. 1 Schmidt, Steven K. 1 Shepherd, Kendrick M. 1 Taylor, Robert Leroy 1 Teske, Edlyn 1 Ulmer, M. B. jun. 1 Vázquez Hernández, Rafael 1 Vercauteren, Frederik 1 Wang, Wenyan 1 Wing, George Milton 1 Wriggers, Peter 1 Zavarise, Giorgio ...and 2 more Co-Authors all top 5 Serials 26 Computer Methods in Applied Mechanics and Engineering 6 International Journal for Numerical Methods in Engineering 3 Computer Aided Geometric Design 3 Journal of Cryptology 2 Designs, Codes and Cryptography 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Automatica 1 Bulletin of the Calcutta Mathematical Society 1 IEEE Transactions on Circuits and Systems 1 IEEE Transactions on Computers 1 Theory and Decision 1 Utilitas Mathematica 1 Computational Mechanics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Zeitschrift für Operations Research. Serie A: Theorie 1 Analysis 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 1 Mathematical Medicine and Biology 1 Unternehmensforschung 1 Lecture Notes in Computer Science 1 SIAM Journal on Imaging Sciences 1 Cryptography and Communications all top 5 Fields 39 Numerical analysis (65-XX) 31 Information and communication theory, circuits (94-XX) 17 Mechanics of deformable solids (74-XX) 16 Number theory (11-XX) 15 Algebraic geometry (14-XX) 5 Approximations and expansions (41-XX) 4 Computer science (68-XX) 4 Fluid mechanics (76-XX) 4 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 Probability theory and stochastic processes (60-XX) 3 Biology and other natural sciences (92-XX) 2 Ordinary differential equations (34-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 73 Publications have been cited 3,113 times in 1,576 Documents Cited by ▼ Year ▼ Isogeometric analysis using T-splines. Zbl 1227.74123 Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Evans, J. A.; Hughes, T. J. R.; Lipton, S.; Scott, M. A.; Sederberg, T. W. 478 2010 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. 421 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. 243 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. 192 2011 Isogeometric boundary element analysis using unstructured T-splines. Zbl 1297.74156 Scott, M. A.; Simpson, R. N.; Evans, J. A.; Lipton, S.; Bordas, S. P. A.; Hughes, T. J. R.; Sederberg, T. W. 175 2013 Local refinement of analysis-suitable T-splines. Zbl 1243.65030 Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R. 172 2012 Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations. Zbl 1286.65174 Schillinger, Dominik; Evans, John A.; Reali, Alessandro; Scott, Michael A.; Hughes, Thomas J. R. 170 2013 Isogeometric fluid structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines. Zbl 1348.74094 Bazilevs, Y.; Hsu, M.-C.; Scott, M. A. 169 2012 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. 155 2011 A taxonomy of pairing-friendly elliptic curves. Zbl 1181.94094 Freeman, David; Scott, Michael; Teske, Edlyn 114 2010 Acoustic isogeometric boundary element analysis. Zbl 1296.65175 Simpson, R. N.; Scott, M. A.; Taus, M.; Thomas, D. C.; Lian, H. 111 2014 On linear independence of T-spline blending functions. Zbl 1251.65012 Li, Xin; Zheng, Jianmin; Sederberg, Thomas W.; Hughes, Thomas J. R.; Scott, Michael A. 107 2012 A generalized finite element formulation for arbitrary basis functions: from isogeometric analysis to XFEM. Zbl 1197.74177 Benson, D. J.; Bazilevs, Y.; De Luycker, E.; Hsu, M.-C.; Scott, M.; Hughes, T. J. R.; Belytschko, T. 96 2010 Efficient algorithms for pairing-based cryptosystems. Zbl 1026.94520 Barreto, Paulo S. L. M.; Kim, Hae Y.; Lynn, Ben; Scott, Michael 91 2002 An isogeometric analysis approach to gradient damage models. Zbl 1235.74320 Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; de Borst, René 75 2011 Efficient pairing computation on supersingular abelian varieties. Zbl 1142.14307 Barreto, Paulo S. L. M.; Galbraith, Steven D.; Ó hÉigeartaigh, Colm; Scott, Michael 60 2007 Analysis-suitable T-splines: characterization, refineability, and approximation. Zbl 1292.41004 Li, Xin; Scott, M. A. 60 2014 An isogeometric approach to cohesive zone modeling. Zbl 1242.74169 Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R. 59 2011 Isogeometric large deformation frictionless contact using T-splines. Zbl 1296.74071 Dimitri, R.; De Lorenzis, L.; Scott, M. A.; Wriggers, P.; Taylor, R. L.; Zavarise, G. 57 2014 Isogeometric spline forests. Zbl 1296.65023 Scott, M. A.; Thomas, D. C.; Evans, E. J. 55 2014 Constructing elliptic curves with prescribed embedding degrees. Zbl 1022.94008 Barreto, Paulo S. L. M.; Lynn, Ben; Scott, Michael 50 2003 Truncated hierarchical Catmull-Clark subdivision with local refinement. Zbl 1425.65028 Wei, Xiaodong; Zhang, Yongjie; Hughes, Thomas J. R.; Scott, Michael A. 50 2015 Hierarchical T-splines: analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis. Zbl 1425.65025 Evans, E. J.; Scott, M. A.; Li, Xin; Thomas, D. C. 45 2015 Bézier projection: a unified approach for local projection and quadrature-free refinement and coarsening of NURBS and T-splines with particular application to isogeometric design and analysis. Zbl 1425.65035 Thomas, D. C.; Scott, M. A.; Evans, J. A.; Tew, K.; Evans, E. J. 44 2015 Constructing Brezing-Weng pairing-friendly elliptic curves using elements in the cyclotomic field. Zbl 1186.94451 Kachisa, Ezekiel J.; Schaefer, Edward F.; Scott, Michael 40 2008 Converting an unstructured quadrilateral mesh to a standard T-spline surface. Zbl 1248.65024 Wang, Wenyan; Zhang, Yongjie; Scott, Michael A.; Hughes, Thomas J. R. 31 2011 Isogeometric boundary-element analysis for the wave-resistance problem using T-splines. Zbl 1423.74270 Ginnis, A. I.; Kostas, K. V.; Politis, C. G.; Kaklis, P. D.; Belibassakis, K. A.; Gerostathis, Th. P.; Scott, M. A.; Hughes, T. J. R. 31 2014 Endomorphisms for faster elliptic curve cryptography on a large class of curves. Zbl 1258.94036 Galbraith, Steven D.; Lin, Xibin; Scott, Michael 26 2011 On the selection of pairing-friendly groups. Zbl 1081.94016 Barreto, Paulo S. L. M.; Lynn, Ben; Scott, Michael 25 2004 Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth. Zbl 1439.74203 Lorenzo, G.; Scott, M. A.; Tew, K.; Hughes, T. J. R.; Gomez, H. 24 2017 Extended truncated hierarchical Catmull-Clark subdivision. Zbl 1425.65037 Wei, Xiaodong; Zhang, Yongjie Jessica; Hughes, Thomas J. R.; Scott, Michael A. 23 2016 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 Galerkin formulations of isogeometric shell analysis: alleviating locking with Greville quadratures and higher-order elements. Zbl 1506.74463 Zou, Z.; Hughes, T. J. R.; Scott, M. A.; Sauer, R. A.; Savitha, E. J. 23 2021 Endomorphisms for faster elliptic curve cryptography on a large class of curves. Zbl 1239.94048 Galbraith, Steven D.; Lin, Xibin; Scott, Michael 21 2009 On the final exponentiation for calculating pairings on ordinary elliptic curves. Zbl 1248.94093 Scott, Michael; Benger, Naomi; Charlemagne, Manuel; Dominguez Perez, Luis J.; Kachisa, Ezekiel J. 18 2009 Implementing cryptographic pairings over Barreto-Naehrig curves. Zbl 1151.94503 Devegili, Augusto Jun; Scott, Michael; Dahab, Ricardo 18 2007 Faster squaring in the cyclotomic subgroup of sixth degree extensions. Zbl 1279.94079 Granger, Robert; Scott, Michael 17 2010 Efficient implementation of pairing-based cryptosystems. Zbl 1123.94334 Barreto, Paulo S. L. M.; Lynn, Ben; Scott, Michael 17 2004 Generating more MNT elliptic curves. Zbl 1172.14309 Scott, Michael; Barreto, Paulo S. L. M. 16 2006 An isogeometric Reissner-Mindlin shell element based on Bézier dual basis functions: overcoming locking and improved coarse mesh accuracy. Zbl 1506.74195 Zou, Z.; Scott, M. A.; Miao, D.; Bischoff, M.; Oesterle, B.; Dornisch, W. 16 2020 Computing the Tate pairing. Zbl 1079.94572 Scott, Michael 15 2005 Exponentiation in pairing-friendly groups using homomorphisms. Zbl 1186.94441 Galbraith, Steven D.; Scott, Michael 15 2008 Compressed pairings. Zbl 1104.94036 Scott, Michael; Barreto, Paulo S. L. M. 13 2004 Codes for boundary-value problems in ordinary differential equations. Proceedings of a working conference, May 14-17, 1978. Zbl 0416.00006 13 1979 Isogeometric boundary element methods and patch tests for linear elastic problems: formulation, numerical integration, and applications. Zbl 1442.65418 Taus, Matthias; Rodin, Gregory J.; Hughes, Thomas J. R.; Scott, Michael A. 12 2019 Secure delegation of elliptic-curve pairing. Zbl 1391.94738 Chevallier-Mames, Benoît; Coron, Jean-Sébastien; McCullagh, Noel; Naccache, David; Scott, Michael 11 2010 Implementing cryptographic pairings. Zbl 1148.94432 Scott, Michael 11 2007 Software implementation of pairings. Zbl 1159.68439 Hankerson, Darrel; Menezes, Alfred; Scott, Michael 11 2009 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 On the efficient implementation of pairing-based protocols. Zbl 1292.68057 Scott, Michael 10 2011 Efficient and robust quadratures for isogeometric analysis: reduced Gauss and Gauss-Greville rules. Zbl 1507.65068 Zou, Z.; Hughes, T. J. R.; Scott, M. A.; Miao, Di; Sauer, R. A. 10 2022 Fast hashing to \(G _{2}\) on pairing-friendly curves. Zbl 1248.94094 Scott, Michael; Benger, Naomi; Charlemagne, Manuel; Dominguez Perez, Luis J.; Kachisa, Ezekiel J. 9 2009 Constructing tower extensions of finite fields for implementation of pairing-based cryptography. Zbl 1245.11122 Benger, Naomi; Scott, Michael 9 2010 Bézier \(\bar{B}\) projection. Zbl 1440.65222 Miao, Di; Borden, Michael J.; Scott, Michael A.; Thomas, Derek C. 8 2018 Faster pairings using an elliptic curve with an efficient endomorphism. Zbl 1153.94429 Scott, Michael 7 2005 Hierarchical B-spline complexes of discrete differential forms. Zbl 1466.65016 Evans, John A.; Scott, Michael A.; Shepherd, Kendrick M.; Thomas, Derek C.; Vázquez Hernández, Rafael 7 2020 The importance of the final exponentiation in pairings when considering fault attacks. Zbl 1151.94582 Whelan, Claire; Scott, Michael 6 2007 A 3D isogeometric BE-FE analysis with dynamic remeshing for the simulation of a deformable particle in shear flows. Zbl 1439.74446 Maestre, Jorge; Pallares, Jordi; Cuesta, Ildefonso; Scott, Michael A. 6 2017 Walsh spectral analysis for ordinary differential equations. I: Initial value problems. Zbl 0661.34006 Moulden, T. H.; Scott, M. A. 5 1988 Solution of a certain class of nonlinear two-point boundary value problems. Zbl 0202.16001 Allen, R. C. jun.; Wing, G. M.; Scott, M. 5 1969 Faster ECC over \(\mathbb {F}_{2^{521}-1}\). Zbl 1345.94066 Granger, Robert; Scott, Michael 4 2015 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 Time/fuel optimal control of constrained linear discrete systems. Zbl 0602.93047 Scott, M. 3 1986 A new family of pairing-friendly elliptic curves. Zbl 1446.11121 Scott, Michael; Guillevic, Aurore 3 2018 Robust Poisson surface reconstruction. Zbl 1450.65018 Estellers, Virginia; Scott, Michael; Tew, Kevin; Soatto, Stefano 3 2015 Improved many-to-one sweeping. Zbl 1114.65150 Scott, Michael A.; Benzley, Steven E.; Owen, Steven J. 2 2006 Pairing calculation on supersingular genus 2 curves. Zbl 1161.94423 Ó hÉigeartaigh, Colm; Scott, Michael 2 2007 What’s in the two envelope paradox? Zbl 0943.91507 Scott, Alexander D.; Scott, Michael 1 1997 A note on the implementation of the number theoretic transform. Zbl 1397.94097 Scott, Michael 1 2017 Isogeometric analysis based on T-splines. Zbl 1327.65034 Thomas, Derek C.; Scott, Michael A. 1 2015 Missing a trick: Karatsuba variations. Zbl 1384.94101 Scott, Michael 1 2018 Robust surface reconstruction. Zbl 1365.65036 Estellers, V.; Scott, M. A.; Soatto, S. 1 2016 A mathematical framework for modelling 3D cell motility: applications to glioblastoma cell migration. Zbl 1472.92064 Scott, M.; Żychaluk, K.; Bearon, R. N. 1 2021 Efficient and robust quadratures for isogeometric analysis: reduced Gauss and Gauss-Greville rules. Zbl 1507.65068 Zou, Z.; Hughes, T. J. R.; Scott, M. A.; Miao, Di; Sauer, R. A. 10 2022 Galerkin formulations of isogeometric shell analysis: alleviating locking with Greville quadratures and higher-order elements. Zbl 1506.74463 Zou, Z.; Hughes, T. J. R.; Scott, M. A.; Sauer, R. A.; Savitha, E. J. 23 2021 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 A mathematical framework for modelling 3D cell motility: applications to glioblastoma cell migration. Zbl 1472.92064 Scott, M.; Żychaluk, K.; Bearon, R. N. 1 2021 An isogeometric Reissner-Mindlin shell element based on Bézier dual basis functions: overcoming locking and improved coarse mesh accuracy. Zbl 1506.74195 Zou, Z.; Scott, M. A.; Miao, D.; Bischoff, M.; Oesterle, B.; Dornisch, W. 16 2020 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 Hierarchical B-spline complexes of discrete differential forms. Zbl 1466.65016 Evans, John A.; Scott, Michael A.; Shepherd, Kendrick M.; Thomas, Derek C.; Vázquez Hernández, Rafael 7 2020 Isogeometric boundary element methods and patch tests for linear elastic problems: formulation, numerical integration, and applications. Zbl 1442.65418 Taus, Matthias; Rodin, Gregory J.; Hughes, Thomas J. R.; Scott, Michael A. 12 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 A new family of pairing-friendly elliptic curves. Zbl 1446.11121 Scott, Michael; Guillevic, Aurore 3 2018 Missing a trick: Karatsuba variations. Zbl 1384.94101 Scott, Michael 1 2018 Hierarchically refined and coarsened splines for moving interface problems, with particular application to phase-field models of prostate tumor growth. Zbl 1439.74203 Lorenzo, G.; Scott, M. A.; Tew, K.; Hughes, T. J. R.; Gomez, H. 24 2017 A 3D isogeometric BE-FE analysis with dynamic remeshing for the simulation of a deformable particle in shear flows. Zbl 1439.74446 Maestre, Jorge; Pallares, Jordi; Cuesta, Ildefonso; Scott, Michael A. 6 2017 A note on the implementation of the number theoretic transform. Zbl 1397.94097 Scott, Michael 1 2017 Extended truncated hierarchical Catmull-Clark subdivision. Zbl 1425.65037 Wei, Xiaodong; Zhang, Yongjie Jessica; Hughes, Thomas J. R.; Scott, Michael A. 23 2016 Robust surface reconstruction. Zbl 1365.65036 Estellers, V.; Scott, M. A.; Soatto, S. 1 2016 Truncated hierarchical Catmull-Clark subdivision with local refinement. Zbl 1425.65028 Wei, Xiaodong; Zhang, Yongjie; Hughes, Thomas J. R.; Scott, Michael A. 50 2015 Hierarchical T-splines: analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis. Zbl 1425.65025 Evans, E. J.; Scott, M. A.; Li, Xin; Thomas, D. C. 45 2015 Bézier projection: a unified approach for local projection and quadrature-free refinement and coarsening of NURBS and T-splines with particular application to isogeometric design and analysis. Zbl 1425.65035 Thomas, D. C.; Scott, M. A.; Evans, J. A.; Tew, K.; Evans, E. J. 44 2015 Faster ECC over \(\mathbb {F}_{2^{521}-1}\). Zbl 1345.94066 Granger, Robert; Scott, Michael 4 2015 Robust Poisson surface reconstruction. Zbl 1450.65018 Estellers, Virginia; Scott, Michael; Tew, Kevin; Soatto, Stefano 3 2015 Isogeometric analysis based on T-splines. Zbl 1327.65034 Thomas, Derek C.; Scott, Michael A. 1 2015 Acoustic isogeometric boundary element analysis. Zbl 1296.65175 Simpson, R. N.; Scott, M. A.; Taus, M.; Thomas, D. C.; Lian, H. 111 2014 Analysis-suitable T-splines: characterization, refineability, and approximation. Zbl 1292.41004 Li, Xin; Scott, M. A. 60 2014 Isogeometric large deformation frictionless contact using T-splines. Zbl 1296.74071 Dimitri, R.; De Lorenzis, L.; Scott, M. A.; Wriggers, P.; Taylor, R. L.; Zavarise, G. 57 2014 Isogeometric spline forests. Zbl 1296.65023 Scott, M. A.; Thomas, D. C.; Evans, E. J. 55 2014 Isogeometric boundary-element analysis for the wave-resistance problem using T-splines. Zbl 1423.74270 Ginnis, A. I.; Kostas, K. V.; Politis, C. G.; Kaklis, P. D.; Belibassakis, K. A.; Gerostathis, Th. P.; Scott, M. A.; Hughes, T. J. R. 31 2014 Isogeometric boundary element analysis using unstructured T-splines. Zbl 1297.74156 Scott, M. A.; Simpson, R. N.; Evans, J. A.; Lipton, S.; Bordas, S. P. A.; Hughes, T. J. R.; Sederberg, T. W. 175 2013 Isogeometric collocation: cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations. Zbl 1286.65174 Schillinger, Dominik; Evans, John A.; Reali, Alessandro; Scott, Michael A.; Hughes, Thomas J. R. 170 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. 421 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. 243 2012 Local refinement of analysis-suitable T-splines. Zbl 1243.65030 Scott, Michael A.; Li, Xin; Sederberg, Thomas W.; Hughes, Thomas J. R. 172 2012 Isogeometric fluid structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines. Zbl 1348.74094 Bazilevs, Y.; Hsu, M.-C.; Scott, M. A. 169 2012 On linear independence of T-spline blending functions. Zbl 1251.65012 Li, Xin; Zheng, Jianmin; Sederberg, Thomas W.; Hughes, Thomas J. R.; Scott, Michael A. 107 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. 192 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. 155 2011 An isogeometric analysis approach to gradient damage models. Zbl 1235.74320 Verhoosel, Clemens V.; Scott, Michael A.; Hughes, Thomas J. R.; de Borst, René 75 2011 An isogeometric approach to cohesive zone modeling. Zbl 1242.74169 Verhoosel, Clemens V.; Scott, Michael A.; de Borst, René; Hughes, Thomas J. R. 59 2011 Converting an unstructured quadrilateral mesh to a standard T-spline surface. Zbl 1248.65024 Wang, Wenyan; Zhang, Yongjie; Scott, Michael A.; Hughes, Thomas J. R. 31 2011 Endomorphisms for faster elliptic curve cryptography on a large class of curves. Zbl 1258.94036 Galbraith, Steven D.; Lin, Xibin; Scott, Michael 26 2011 On the efficient implementation of pairing-based protocols. Zbl 1292.68057 Scott, Michael 10 2011 Isogeometric analysis using T-splines. Zbl 1227.74123 Bazilevs, Y.; Calo, V. M.; Cottrell, J. A.; Evans, J. A.; Hughes, T. J. R.; Lipton, S.; Scott, M. A.; Sederberg, T. W. 478 2010 A taxonomy of pairing-friendly elliptic curves. Zbl 1181.94094 Freeman, David; Scott, Michael; Teske, Edlyn 114 2010 A generalized finite element formulation for arbitrary basis functions: from isogeometric analysis to XFEM. Zbl 1197.74177 Benson, D. J.; Bazilevs, Y.; De Luycker, E.; Hsu, M.-C.; Scott, M.; Hughes, T. J. R.; Belytschko, T. 96 2010 Faster squaring in the cyclotomic subgroup of sixth degree extensions. Zbl 1279.94079 Granger, Robert; Scott, Michael 17 2010 Secure delegation of elliptic-curve pairing. Zbl 1391.94738 Chevallier-Mames, Benoît; Coron, Jean-Sébastien; McCullagh, Noel; Naccache, David; Scott, Michael 11 2010 Constructing tower extensions of finite fields for implementation of pairing-based cryptography. Zbl 1245.11122 Benger, Naomi; Scott, Michael 9 2010 Endomorphisms for faster elliptic curve cryptography on a large class of curves. Zbl 1239.94048 Galbraith, Steven D.; Lin, Xibin; Scott, Michael 21 2009 On the final exponentiation for calculating pairings on ordinary elliptic curves. Zbl 1248.94093 Scott, Michael; Benger, Naomi; Charlemagne, Manuel; Dominguez Perez, Luis J.; Kachisa, Ezekiel J. 18 2009 Software implementation of pairings. Zbl 1159.68439 Hankerson, Darrel; Menezes, Alfred; Scott, Michael 11 2009 Fast hashing to \(G _{2}\) on pairing-friendly curves. Zbl 1248.94094 Scott, Michael; Benger, Naomi; Charlemagne, Manuel; Dominguez Perez, Luis J.; Kachisa, Ezekiel J. 9 2009 Constructing Brezing-Weng pairing-friendly elliptic curves using elements in the cyclotomic field. Zbl 1186.94451 Kachisa, Ezekiel J.; Schaefer, Edward F.; Scott, Michael 40 2008 Exponentiation in pairing-friendly groups using homomorphisms. Zbl 1186.94441 Galbraith, Steven D.; Scott, Michael 15 2008 Efficient pairing computation on supersingular abelian varieties. Zbl 1142.14307 Barreto, Paulo S. L. M.; Galbraith, Steven D.; Ó hÉigeartaigh, Colm; Scott, Michael 60 2007 Implementing cryptographic pairings over Barreto-Naehrig curves. Zbl 1151.94503 Devegili, Augusto Jun; Scott, Michael; Dahab, Ricardo 18 2007 Implementing cryptographic pairings. Zbl 1148.94432 Scott, Michael 11 2007 The importance of the final exponentiation in pairings when considering fault attacks. Zbl 1151.94582 Whelan, Claire; Scott, Michael 6 2007 Pairing calculation on supersingular genus 2 curves. Zbl 1161.94423 Ó hÉigeartaigh, Colm; Scott, Michael 2 2007 Generating more MNT elliptic curves. Zbl 1172.14309 Scott, Michael; Barreto, Paulo S. L. M. 16 2006 Improved many-to-one sweeping. Zbl 1114.65150 Scott, Michael A.; Benzley, Steven E.; Owen, Steven J. 2 2006 Computing the Tate pairing. Zbl 1079.94572 Scott, Michael 15 2005 Faster pairings using an elliptic curve with an efficient endomorphism. Zbl 1153.94429 Scott, Michael 7 2005 On the selection of pairing-friendly groups. Zbl 1081.94016 Barreto, Paulo S. L. M.; Lynn, Ben; Scott, Michael 25 2004 Efficient implementation of pairing-based cryptosystems. Zbl 1123.94334 Barreto, Paulo S. L. M.; Lynn, Ben; Scott, Michael 17 2004 Compressed pairings. Zbl 1104.94036 Scott, Michael; Barreto, Paulo S. L. M. 13 2004 Constructing elliptic curves with prescribed embedding degrees. Zbl 1022.94008 Barreto, Paulo S. L. M.; Lynn, Ben; Scott, Michael 50 2003 Efficient algorithms for pairing-based cryptosystems. Zbl 1026.94520 Barreto, Paulo S. L. M.; Kim, Hae Y.; Lynn, Ben; Scott, Michael 91 2002 What’s in the two envelope paradox? Zbl 0943.91507 Scott, Alexander D.; Scott, Michael 1 1997 Walsh spectral analysis for ordinary differential equations. I: Initial value problems. Zbl 0661.34006 Moulden, T. H.; Scott, M. A. 5 1988 Time/fuel optimal control of constrained linear discrete systems. Zbl 0602.93047 Scott, M. 3 1986 Codes for boundary-value problems in ordinary differential equations. Proceedings of a working conference, May 14-17, 1978. Zbl 0416.00006 13 1979 Solution of a certain class of nonlinear two-point boundary value problems. Zbl 0202.16001 Allen, R. C. jun.; Wing, G. M.; Scott, M. 5 1969 all cited Publications top 5 cited Publications all top 5 Cited by 2,322 Authors 81 Hughes, Thomas J. R. 65 Bazilevs, Yuri 52 Rabczuk, Timon 42 Hsu, Ming-Chen 42 Schillinger, Dominik 39 Takizawa, Kenji 39 Tezduyar, Tayfun E. 37 Reali, Alessandro 34 Jüttler, Bert 34 Scott, Michael A. 34 Zhang, Yongjie Jessica 33 Evans, John A. 30 Buffa, Annalisa 29 de Lorenzis, Laura 29 Kiendl, Josef 28 Gómez, Héctor J. 26 Sangalli, Giancarlo 25 Li, Xin 24 de Borst, René 23 Bordas, Stéphane Pierre Alain 23 Verhoosel, Clemens V. 22 Rank, Ernst 22 Wick, Thomas 21 Sauer, Roger A. 21 Speleers, Hendrik 19 Anitescu, Cosmin 19 Bui, Tinh Quoc 19 Zhuang, Xiaoying 18 Kamensky, David 17 Auricchio, Ferdinando 17 Deng, Jiansong 17 Giannelli, Carlotta 17 Manni, Carla 17 Vazquez, Rafael 17 Wei, Xiaodong 16 Kollmannsberger, Stefan 15 Bletzinger, Kai-Uwe 15 Cho, Durkbin 15 Hiemstra, René R. 15 Mantzaflaris, Angelos 15 Nguyen-Thanh, Nhon 14 Beirão da Veiga, Lourenço 14 Calo, Victor Manuel 14 Casquero, Hugo 14 Korobenko, Artem 14 Natarajan, Sundararajan 14 Toshniwal, Deepesh 14 Waisman, Haim 14 Weinberg, Kerstin 14 Wüchner, Roland 13 Antolin, Pablo 13 Benson, David J. 13 Borden, Michael J. 13 Bracco, Cesare 13 Lian, Haojie 13 Ruess, Martin 13 Takacs, Thomas 13 Van Brummelen, Harald 13 Wriggers, Peter 13 Yu, Tiantang 12 Cirak, Fehmi 12 Dong, Chunying 12 Hu, Ping 12 Kapl, Mario 12 Yan, Jinhui 11 Ambati, Marreddy 11 Atroshchenko, Elena 11 Dede’, Luca 11 Hesch, Christian 11 Kästner, Markus 11 Kvamsdal, Trond 11 Trevelyan, Jon 11 Wang, Dongdong 11 Xu, Gang 10 Aldakheel, Fadi 10 Desmet, Wim 10 Klinkel, Sven 10 Kuraishi, Takashi 10 Nguyen-Xuan, Hung 10 Otoguro, Yuto 10 Pan, Qing 10 Song, Chongmin 10 Sun, WaiChing 10 Wheeler, Mary Fanett 9 Chen, Leilei 9 Coox, Laurens 9 Duong, Thang X. 9 Landis, Chad M. 9 Temizer, Ilker 9 Thomas, Derek C. 9 Zou, Zhihui 8 Beer, Gernot 8 Bouclier, Robin 8 Calabró, Francesco 8 Chen, Falai 8 Dittmann, M. 8 Marussig, Benjamin 8 Miehe, Christian 8 Mourrain, Bernard 8 Wu, Michael C. H. ...and 2,222 more Authors all top 5 Cited in 92 Serials 767 Computer Methods in Applied Mechanics and Engineering 142 Computational Mechanics 75 International Journal for Numerical Methods in Engineering 56 Computers & Mathematics with Applications 54 Engineering Analysis with Boundary Elements 48 Journal of Computational Physics 42 Computer Aided Geometric Design 34 Journal of Computational and Applied Mathematics 31 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 28 European Journal of Mechanics. A. 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Zeitschrift für Angewandte Mathematik und Mechanik 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 European Journal of Mechanics. B. Fluids 1 Communications in Nonlinear Science and Numerical Simulation 1 Optimization and Engineering 1 Foundations of Computational Mathematics 1 Structural and Multidisciplinary Optimization 1 Acta Numerica 1 Statistical Methods and Applications 1 Acta Mechanica Sinica 1 Computational & Mathematical Methods in Medicine 1 Advances in Calculus of Variations 1 Advances in Numerical Analysis 1 Science China. Mathematics 1 Arabian Journal for Science and Engineering 1 S\(\vec{\text{e}}\)MA Journal 1 Axioms 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Vestnik KRAUNTS. Fiziko-Matematicheskie Nauki 1 SMAI Journal of Computational Mathematics 1 Trends in Computational and Applied Mathematics all top 5 Cited in 29 Fields 1,076 Numerical analysis (65-XX) 976 Mechanics of deformable solids (74-XX) 250 Fluid mechanics (76-XX) 97 Partial differential equations (35-XX) 76 Approximations and expansions (41-XX) 46 Biology and other natural sciences (92-XX) 27 Computer science (68-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 22 Classical thermodynamics, heat transfer (80-XX) 22 Statistical mechanics, structure of matter (82-XX) 17 Geophysics (86-XX) 13 Operations research, mathematical programming (90-XX) 12 Optics, electromagnetic theory (78-XX) 5 Integral equations (45-XX) 5 Differential geometry (53-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 4 Information and communication theory, circuits (94-XX) 2 Algebraic geometry (14-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Citations by Year