Edit Profile (opens in new tab) Dokken, Tor Compute Distance To: Compute Author ID: dokken.tor Published as: Dokken, Tor; Dokken, T. Documents Indexed: 29 Publications since 1979 2 Contributions as Editor Co-Authors: 31 Co-Authors with 26 Joint Publications 282 Co-Co-Authors all top 5 Co-Authors 5 single-authored 6 Skytt, Vibeke 4 Lyche, Tom 4 Thomassen, Jan Brede 3 Jüttler, Bert 2 Barrowclough, Oliver J. D. 2 Wurm, Elmar M. 1 Bang, Børre 1 Dahl, Heidi E. I. 1 Dæhlen, Morten 1 Dechevsky, Lubomir T. 1 Evensen, Per 1 Gundersen, Joakim 1 Hagen, Trond Runar 1 Harpham, Quillon 1 Hjelmervik, Jon Mikkelsen 1 Johannessen, Kjetil André 1 Johansen, Pål Hermunn 1 Kellermann, Hermann K. 1 Kristoffersen, Arnt R. 1 Kvamsdal, Trond 1 Lakså, Arne 1 Mørken, Knut M. 1 Muntingh, Georg 1 Nørtoft, Peter 1 Patrizi, Francesco 1 Pettersen, Kjell Fredrik 1 Seland, Johan Simon 1 Shalaby, Mohamed F. 1 Stangeby, Ivar 1 Tegnander, Cathrine 1 Ytrehus, Anne-Marie all top 5 Serials 4 Computer Aided Geometric Design 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Applied Mathematics 1 International Journal of Pure and Applied Mathematics 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Geometry and Computing all top 5 Fields 28 Numerical analysis (65-XX) 6 Approximations and expansions (41-XX) 5 Computer science (68-XX) 4 Algebraic geometry (14-XX) 2 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 21 Publications have been cited 393 times in 292 Documents Cited by ▼ Year ▼ Polynomial splines over locally refined box-partitions. Zbl 1264.41011Dokken, Tor; Lyche, Tom; Pettersen, Kjell Fredrik 153 2013 Isogeometric analysis using LR B-splines. Zbl 1296.65021Johannessen, Kjetil André; Kvamsdal, Trond; Dokken, Tor 106 2014 Good approximation of circles by curvature-continuous Bézier curves. Zbl 0716.65011Dokken, Tor; Dæhlen, Morten; Lyche, Tom; Mørken, Knut 47 1990 Approximate implicitization. Zbl 0989.65019Dokken, Tor 21 2001 Aspects of algorithms for manifold intersection. Zbl 0883.65127Dokken, Tor 8 1997 Overview of approximate implicitization. Zbl 1039.65012Dokken, Tor; Thomassen, Jan Brede 8 2003 A divided difference formula for the error in Hermite interpolation. Zbl 0428.41002Dokken, T.; Lyche, T. 8 1979 Finding intersections of B-spline represented geometries using recursive subdivision techniques. Zbl 0599.65096Dokken, Tor 7 1985 An approach to weak approximate implicitization. Zbl 0989.65020Dokken, Tor; Kellermann, Hermann K.; Tegnander, Cathrine 6 2001 Controlling the shape of the error in cubic ellipse approximation. Zbl 1043.65027Dokken, Tor 4 2003 Linear dependence of bivariate minimal support and locally refined B-splines over LR-meshes. Zbl 07188120Patrizi, Francesco; Dokken, Tor 4 2020 Approximate implicitization using linear algebra. Zbl 1235.65018Barrowclough, Oliver J. D.; Dokken, Tor 4 2012 Closest points, moving surfaces, and algebraic geometry. Zbl 1079.65516Thomassen, Jan B.; Johansen, Pål H.; Dokken, Tor 3 2005 Piecewise approximate implicitization: experiments using industrial data. Zbl 1107.65307Shalaby, Mohamed F.; Thomassen, Jan B.; Wurm, Elmar M.; Dokken, Tor; Jüttler, Bert 3 2006 Models for isogeometric analysis from CAD. Zbl 1356.65059Skytt, Vibeke; Dokken, Tor 3 2016 Comparative benchmarking of methods for approximate implicitization. Zbl 1060.65549Wurm, Elmar; Thomassen, Jan B.; Jüttler, Bert; Dokken, Tor 2 2004 Trivariate spline representations for computer aided design and additive manufacturing. Zbl 1443.65012Dokken, Tor; Skytt, Vibeke; Barrowclough, Oliver 2 2019 Intersection algorithms and CAGD. Zbl 1126.65019Dokken, Tor; Skytt, Vibeke 1 2007 Recursive subdivision and iteration in intersections and related problems. Zbl 0683.65006Dokken, Tor; Skytt, Vibeke; Ytrehus, Anne-Marie 1 1989 Deconfliction and surface generation from bathymetry data using LR B-splines. Zbl 1422.65046Skytt, Vibeke; Harpham, Quillon; Dokken, Tor; Dahl, Heidi E. I. 1 2017 Isogeometric analysis of Navier-Stokes flow using locally refinable B-splines. Zbl 1338.76065Nørtoft, Peter; Dokken, Tor 1 2014 Linear dependence of bivariate minimal support and locally refined B-splines over LR-meshes. Zbl 07188120Patrizi, Francesco; Dokken, Tor 4 2020 Trivariate spline representations for computer aided design and additive manufacturing. Zbl 1443.65012Dokken, Tor; Skytt, Vibeke; Barrowclough, Oliver 2 2019 Deconfliction and surface generation from bathymetry data using LR B-splines. Zbl 1422.65046Skytt, Vibeke; Harpham, Quillon; Dokken, Tor; Dahl, Heidi E. I. 1 2017 Models for isogeometric analysis from CAD. Zbl 1356.65059Skytt, Vibeke; Dokken, Tor 3 2016 Isogeometric analysis using LR B-splines. Zbl 1296.65021Johannessen, Kjetil André; Kvamsdal, Trond; Dokken, Tor 106 2014 Isogeometric analysis of Navier-Stokes flow using locally refinable B-splines. Zbl 1338.76065Nørtoft, Peter; Dokken, Tor 1 2014 Polynomial splines over locally refined box-partitions. Zbl 1264.41011Dokken, Tor; Lyche, Tom; Pettersen, Kjell Fredrik 153 2013 Approximate implicitization using linear algebra. Zbl 1235.65018Barrowclough, Oliver J. D.; Dokken, Tor 4 2012 Intersection algorithms and CAGD. Zbl 1126.65019Dokken, Tor; Skytt, Vibeke 1 2007 Piecewise approximate implicitization: experiments using industrial data. Zbl 1107.65307Shalaby, Mohamed F.; Thomassen, Jan B.; Wurm, Elmar M.; Dokken, Tor; Jüttler, Bert 3 2006 Closest points, moving surfaces, and algebraic geometry. Zbl 1079.65516Thomassen, Jan B.; Johansen, Pål H.; Dokken, Tor 3 2005 Comparative benchmarking of methods for approximate implicitization. Zbl 1060.65549Wurm, Elmar; Thomassen, Jan B.; Jüttler, Bert; Dokken, Tor 2 2004 Overview of approximate implicitization. Zbl 1039.65012Dokken, Tor; Thomassen, Jan Brede 8 2003 Controlling the shape of the error in cubic ellipse approximation. Zbl 1043.65027Dokken, Tor 4 2003 Approximate implicitization. Zbl 0989.65019Dokken, Tor 21 2001 An approach to weak approximate implicitization. Zbl 0989.65020Dokken, Tor; Kellermann, Hermann K.; Tegnander, Cathrine 6 2001 Aspects of algorithms for manifold intersection. Zbl 0883.65127Dokken, Tor 8 1997 Good approximation of circles by curvature-continuous Bézier curves. Zbl 0716.65011Dokken, Tor; Dæhlen, Morten; Lyche, Tom; Mørken, Knut 47 1990 Recursive subdivision and iteration in intersections and related problems. Zbl 0683.65006Dokken, Tor; Skytt, Vibeke; Ytrehus, Anne-Marie 1 1989 Finding intersections of B-spline represented geometries using recursive subdivision techniques. Zbl 0599.65096Dokken, Tor 7 1985 A divided difference formula for the error in Hermite interpolation. Zbl 0428.41002Dokken, T.; Lyche, T. 8 1979 all cited Publications top 5 cited Publications all top 5 Cited by 409 Authors 21 Jüttler, Bert 16 Hughes, Thomas J. R. 12 Deng, Jiansong 11 Buffa, Annalisa 11 Speleers, Hendrik 10 Manni, Carla 10 Zhang, Yongjie Jessica 9 Kvamsdal, Trond 9 Žagar, Emil 8 Bracco, Cesare 8 Bui, Tinh Quoc 8 Dokken, Tor 8 Giannelli, Carlotta 8 Li, Xin 8 Yu, Tiantang 7 Ahn, Young Joon 7 Chen, Falai 7 Scott, Michael A. 6 Floater, Michael S. 6 Sangalli, Giancarlo 6 Toshniwal, Deepesh 6 Wei, Xiaodong 5 Antolin, Pablo 5 Johannessen, Kjetil André 5 Kozak, Jernej 5 Krajnc, Marjeta 5 Lyche, Tom 5 Pan, Qing 5 Pérez-Díaz, Sonia 5 Rababah, Abedallah 5 Reali, Alessandro 5 Sauer, Roger A. 5 Sendra, Juan Rafael 5 Sendra, Juana 5 Vazquez, Rafael 4 Barrowclough, Oliver J. D. 4 Bressan, Andrea 4 de Lorenzis, Laura 4 Hiemstra, René R. 4 Jaklič, Gašper 4 Kang, Hongmei 4 Kiendl, Josef 4 Kleiss, Stefan K. 4 Liu, Zhaowei 4 Morgenstern, Philipp 4 Mourrain, Bernard 4 Peters, Jorg 4 Rabczuk, Timon 4 Schillinger, Dominik 4 Thomas, Derek C. 4 Xu, Gang 4 Xu, Guoliang 4 Zeng, Chao 4 Zimmermann, Christopher 3 Anitescu, Cosmin 3 Busé, Laurent 3 Chen, Chong 3 Coradello, Luca 3 D’Angella, Davide 3 Deng, Fang 3 Emiris, Ioannis Z. 3 Evans, John A. 3 Galligo, André 3 Gu, Jiming 3 Hennig, Paul 3 Höllig, Klaus H. 3 Hu, Qianqian 3 Karčiauskas, Kęstutis 3 Kästner, Markus 3 Konaxis, Christos 3 Kumar, Mukesh 3 Landis, Chad M. 3 Mantzaflaris, Angelos 3 Mokriš, Dominik 3 Mørken, Knut M. 3 Ni, Qian 3 Patrizi, Francesco 3 Paul, Karsten 3 Peterseim, Daniel 3 Raffo, Andrea 3 Rank, Ernst 3 Roman, Fabio 3 Schicho, Josef 3 Sestini, Alessandra 3 Skytt, Vibeke 3 Temizer, Ilker 3 Tomar, Satyendra K. 3 Van Lich, Le 3 Vavpetič, Aleš 3 Wang, Xinghua 3 Wang, Xuhui 3 Wu, Jinming 3 Xu, Jinlan 3 Yuan, Xiaoyun 2 Ahn, Ji Soo 2 Ambati, Marreddy 2 Apprich, Christian 2 Atroshchenko, Elena 2 Bazilevs, Yuri 2 Beirão da Veiga, Lourenço ...and 309 more Authors all top 5 Cited in 55 Serials 78 Computer Methods in Applied Mechanics and Engineering 58 Computer Aided Geometric Design 24 Journal of Computational and Applied Mathematics 12 Computers & Mathematics with Applications 9 Computational Mechanics 6 Journal of Computational Physics 6 Advances in Computational Mathematics 6 Engineering Analysis with Boundary Elements 5 Applied Mathematics and Computation 4 Applied Mathematical Modelling 3 BIT 3 Journal of Approximation Theory 3 Theoretical Computer Science 3 Journal of Symbolic Computation 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Foundations of Computational Mathematics 3 Communications in Mathematics and Statistics 2 Mathematics of Computation 2 Constructive Approximation 2 Journal of Computer Science and Technology 2 Numerical Algorithms 2 Applicable Algebra in Engineering, Communication and Computing 2 SIAM Journal on Scientific Computing 2 Computational and Applied Mathematics 2 European Journal of Mechanics. A. Solids 2 Journal of Systems Science and Complexity 2 Mathematics in Computer Science 2 Communications in Computational Physics 1 Journal of Mathematical Analysis and Applications 1 International Journal for Numerical Methods in Engineering 1 Journal of Algebra 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 SIAM Journal on Numerical Analysis 1 ACM Transactions on Graphics 1 Science in China. Series A 1 International Journal of Computer Mathematics 1 Advances in Applied Clifford Algebras 1 Discrete and Continuous Dynamical Systems 1 Mathematical Problems in Engineering 1 International Journal of Computational Fluid Dynamics 1 Journal of Inequalities and Applications 1 Acta Mathematica Sinica. English Series 1 Archives of Computational Methods in Engineering 1 Journal of Applied Mathematics 1 Journal of Numerical Mathematics 1 Acta Numerica 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Axioms 1 Open Mathematics 1 SIAM Journal on Applied Algebra and Geometry 1 SMAI Journal of Computational Mathematics all top 5 Cited in 25 Fields 255 Numerical analysis (65-XX) 71 Approximations and expansions (41-XX) 55 Mechanics of deformable solids (74-XX) 24 Computer science (68-XX) 19 Algebraic geometry (14-XX) 14 Fluid mechanics (76-XX) 9 Partial differential equations (35-XX) 6 Commutative algebra (13-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Operations research, mathematical programming (90-XX) 3 Geometry (51-XX) 3 Differential geometry (53-XX) 2 Convex and discrete geometry (52-XX) 2 Optics, electromagnetic theory (78-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) Citations by Year