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Author ID: scott.michael-a Recent zbMATH articles by "Scott, Michael A."
Published as: Scott, Michael A.; Scott, M. A.; Scott, Michael; Scott, M.
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

Publications by Year

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 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.
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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. Solids
25 Applied Mathematical Modelling
21 Computers and Fluids
11 Applied Mathematics and Computation
11 Meccanica
9 Advances in Computational Mathematics
8 Numerische Mathematik
8 SIAM Journal on Scientific Computing
8 GAMM-Mitteilungen
7 Acta Mechanica
6 Journal of the Mechanics and Physics of Solids
6 Mathematics and Mechanics of Solids
6 Archives of Computational Methods in Engineering
6 International Journal of Computational Methods
6 Communications in Mathematics and Statistics
5 Journal of Scientific Computing
4 Applied Numerical Mathematics
4 Journal of Elasticity
4 Continuum Mechanics and Thermodynamics
4 Computational Geosciences
4 Journal of Systems Science and Complexity
3 International Journal for Numerical Methods in Fluids
3 Mathematics and Computers in Simulation
3 SIAM Journal on Numerical Analysis
3 ACM Transactions on Graphics
3 Computational and Applied Mathematics
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Discrete and Continuous Dynamical Systems. Series S
2 International Journal of Engineering Science
2 Wave Motion
2 Applied Mathematics Letters
2 Numerical Algorithms
2 Advances in Engineering Software
2 Applied Mathematics. Series B (English Edition)
2 Mathematical Problems in Engineering
2 Multibody System Dynamics
2 Multiscale Modeling & Simulation
2 SIAM Journal on Imaging Sciences
2 Advances in Applied Mathematics and Mechanics
2 GEM - International Journal on Geomathematics
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Journal of Computational and Theoretical Transport
1 Computer Physics Communications
1 International Journal of Solids and Structures
1 Journal of Engineering Mathematics
1 Mathematics of Computation
1 Journal of Geometry and Physics
1 Journal of Optimization Theory and Applications
1 SIAM Journal on Control and Optimization
1 Journal of Computational Mathematics
1 Physica D
1 Constructive Approximation
1 Numerical Methods for Partial Differential Equations
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Applied Mathematics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Computing and Visualization in Science
1 International Journal of Computational Fluid Dynamics
1 Nonlinear Dynamics
1 Abstract and Applied Analysis
1 ZAMM. 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
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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

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