List of Papers

  1. Monge surfaces and planar geodesic foliations, David Brander and Jens Gravesen. Preprint: arXiv:1707.05109
  2. Isogeometric Analysis for Nonlinear Free Surface Hydrodynamics, Asger Limkilde, Allan P. Ensig-Karup, Jens Gravesen, and Peter Nørtoft
  3. [PDF] Hot Blade Cuttings for the Building Industries, David Brander, Andreas Bærentzen, Anton Evgrafov, Jens Gravesen, Steen Markvorsen, Toke Bjerge Nørbjerg, Peter Nørtoft, and Kasper Steenstrup Proceedings of the KoMSO Challenge Workshop: Math for the Digital Factory (2014) L. Ghezzi, D. Hömberg, and Ch. Landry (Eds.), Springer, to appear.
  4. Surfaces foliated by planar geodesics: A model for curved wood design, David Brander and Jens Gravesen, in Proceedings of Bridges 2017: Mathematics, Art, Music, Architecture, Education, Culture, D. Swart, C. Séquin, and K. Fenyvesi, (Eds.), Tessellations Publishing, Phoenix, Arizona 2017, pp. 487-490. Online PDF
  5. Approximation by Planar Elastic Curves, David Brander, Jens Gravesen, and Toke Nørbjerg, Advances in Computational Mathematics 43, 25-43, 2017. DOI: 10.1007/s10444-016-9474-z. Preprint: arXiv:1509.00703
  6. [PDF] Cuttable ruled surface strips for milling, Kasper H. Steenstrup, Toke B. Nørbjerg, J. Andreas Bærentzen, Jens Gravesen, Asbjørn Søndergaard, Proceedings for Advances in Architectural Geometry 2016, Sigrid Adriaenssens, Fabio Gramazio, Matthias Kohler, Achim Menges, and Mark Pauly (Eds.) vdf Hochschulverlag, Zürich, 2016, pp. 328-342. DOI: 10.3218/3778-4_22
  7. [PDF] Designing for Robotic Hot-Blade Cutting, David Brander, Andreas Bærentzen, Kenn Clausen, Ann-Sofie Fisker, Jens Gravesen, Morten N. Lund, Toke B. Nørbjerg, Kasper Steenstrup, Asbjørn Søndergaard, Proceedings for Advances in Architectural Geometry 2016, Sigrid Adriaenssens, Fabio Gramazio, Matthias Kohler, Achim Menges, and Mark Pauly (Eds.) vdf Hochschulverlag, Zürich, 2016, pp. 306-327. DOI: 10.3218/3778-4_21
  8. Robotic Hot-Blade Cutting, An industrial approach to cost-effective production of double curved concrete structures, Asbjørn Søndergaard, Jelle Feringa, Toke Nørbjerg, Kasper Steenstrup, David Brander, Jens Gravesen, Steen Markvorsen, Andreas Bærentzen, Kiril Petkov, Jesper Hattel, Kenn Clausen, Kasper Jensen, Lars Knudsen, and Jacob Kortbek, Robotic Fabrication in Architecture, Art and Design. Proceedings of RobArch 2016, Dagmar Reinhardt, Rob Saunders, Jane Burry (Eds.), Springer, 2016, pp. 150-164. DOI: 10.1007/978-3-319-26378-6_11
  9. [PDF] The Metric of Colour Space, Jens Gravesen, Graphical Models, 82, 77-86, 2015. DOI:10.1016/j.gmod.2015.06.005
  10. Isogeometric Analysis of Sound Propagation through Flow in 2-Dimensional Ducts, Peter Nørtoft, Jens Gravesen, and Morten Willatzen, Computer Methods in Applied Mechanics and Engineering, 284, 1098-1119, 2015. DOI: 10.1016/j.cma.2014.11.035
  11. Isogeometric shape optimization of magnetic density separators, Nguyen Dang Manh, Anton Evgrafov, Jens Gravesen, and Domenico Lahaye, COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 33, issue 4, 1416-1430, 2014. DOI: 10.1108/COMPEL-07-2013-0234
  12. [PDF] Planar Parametrization in Isogeometric Analysis and Shape Optimization, Jens Gravesen, Anton Evgrafov, Nguyen Dang Manh, and Peter Nørtoft, in Proceedings of the "Eighth International Conference on Mathematical Methods for Curves and Surfaces. Oslo, June 28 - July 3, 2012" (Michael Floater, Tom Lyche, Marie-Laurence Mazure, Knut Mørken, and Larry L. Schumaker eds.) Lecture Notes in Computer Science 8177, Springer, 2014, pp. 189-212. DOI: 10.1007/978-3-642-54382-1_11
  13. Contaminant ingress into multizone buildings: An analytical state-space approach, Simon Parker, Chris Coffey, Jens Gravesen, James Kirkpatrick, Keith Ratcliffe, Bryan Lingard, James Nally, Building Simulation, 7, pp. 57-71, 2014. DOI: 10.1007/s12273-013-0136-5
  14. Differential Geometry Applied to Rings and Möbius Nanostructures, Benny Lassen, Morten Willatzen, and Jens Gravesen, in Physics of Quantum Rings, V.M. Fomin (ed.), NanoScience and Technology, Springer, 2013, pp. 409-435, DOI: 10.1007/978-3-642-39197-2_16
  15. Isogeometric Shape Optimization in Fluid Mechanics, Peter Nørtoft and Jens Gravesen, Structural and Multidisciplinary Optimization, 48, 909-925, 2013. DOI: 10.1007/s00158-013-0931-8
  16. [PDF] Isogeometric shape optimization for electromagnetic scattering problems Nguyen Dang Manh, Anton Evgrafov, and Jens Gravesen, Progress In Electromagnetics Research (PIER) B, 45, 117-146, 2012. DOI:10.2528/PIERB12091308
  17. Strong curvature effects in Neumann wave problems Morten Willatzen, Anders Pors, and Jens Gravesen, Journal of Mathematical Physics, 53, 083507, 2012. DOI:10.1063/1.4745856
  18. [PDF] Discretizations in Isogeometric Analysis of Navier-Stokes Flow, Peter Nørtoft Nielsen, Allan Roulund Gersborg, Jens Gravesen, and Niels Lergaard Pedersen, Computer Methods in Applied Mechanics and Engineering, 200, 3242-3253, 2011. DOI:10.1016/j.cma.2011.06.007
  19. [PDF] On the sensitivities of multiple eigenvalues Jens Gravesen, Anton Evgrafov, and Nguyen Dang Manh, Structural and Multidisciplinary Optimization, 44, 583-587, DOI:10.1007/s00158-011-0644-9
  20. Möbius semiconductor nanostructures and deformation potential strain effects, Benny Lassen, Morten Willatzen, and Jens Gravesen, Journal of Nanoelectronics and Optoelectronics, 6, 68-75, 2011. DOI: 10.1166/jno.2011.1135
  21. [PDF] Isogeometric shape optimization of vibrating membranes Nguyen Dang Manh, Anton Evgrafov, Allan Roulund Gersborg, and Jens Gravesen, Computer Methods in Applied Mechanics and Engineering, 200, 1343-1353, 2011. DOI:10.1016/j.cma.2010.12.015
  22. [PDF] Isogeometric analysis and shape optimisation, Jens Gravesen, Anton Evgrafov, Allan Roulund Gersborg, Nguyen Dang Manh, and Peter Nørtoft Nielsen, in Proceedings of 23rd Nordic Seminar on Computational Mechanics, (A. Erikson and G. Tibert eds.), Stockholm 2010, pp. 14-17.
  23. Analytic theory of curvature effects for wave problems with general boundary conditions, Morten Willatzen, Jens Gravesen, and Lok C. Lew Yan Voon, Physical Review A, 81, 060102 1-4, 2010. DOI:10.1103/PhysRevA.81.060102
  24. Electron conductance in curved quantum structures, Morten Willatzen and Jens Gravesen, Superlattices and Microstructures, 47, 202-206, 2010. DOI:10.1016/j.spmi.2009.10.001
  25. [PDF] Parametrisation in Iso Geometric Analysis, a first report, Nguyen Dang Manh, Peter Nørtoft Nielsen, Anton Evgrafov, Allan Roulund Gersborg, and Jens Gravesen, October 21, 2009.
  26. [PDF] The geometry of the Moineau pump, Jens Gravesen, Computer Aided Geometric Design, 25, 792-800, 2008. DOI:10.1016/j.cagd.2008.06.012
  27. [PDF] On rationally supported surfaces, Jens Gravesen, Bert Jüttler, and Zbyněk Šír, Computer Aided Geometric Design, 25, 320-331, 2008. DOI:10.1016/j.cagd.2007.10.005
  28. [PDF] Electron states in curved quantum structures with varying radius, Jens Gravesen and Morten Willatzen, Superlattices and Microstructures, 43, 441-444, 2008. DOI:10.1016/j.spmi.2007.06.020
  29. [PDF] Curves and surfaces represented by polynomial support functions, Zbyněk Šír, Jens Gravesen, and Bert Jüttler, Theoretical Computer Science, 392, 141-157, 2008. DOI:10.1016/j.tcs.2007.10.009
  30. [PDF] Approximating Offsets of Surfaces by using the Support Function Representation, Jens Gravesen, Bert Jüttler, and Zbyněk Šír, in Progress in Industrial Mathematics at ECMI 2006 (Bonilla, L.L.; Moscoso, M.; Platero, G.; Vega, J.M. Eds.) Springer Verlag, 2007, pp. 719-723. DOI:10.1007/978-3-540-71992-2_122
  31. [PDF] Surfaces with Piecewise Linear Support Functions over Spherical Triangulations, Henrik Almegaard, Anne Bagger, Jens Gravesen, Bert Jüttler and Zbyněk Šír, in Mathematics of Surfaces XII, (Ralph Martin, Malcolm Sabin, Joab Winkler, Eds.) Springer Verlag, 2007, pp. 42-63. DOI: 10.1007/978-3-540-73843-5_3
  32. [PDF] Computing Convolutions and Minkowski sums via Support Functions, Zbyněk Šír, Jens Gravesen, and Bert Jüttler, in Curve and Surface Design: Avignon 2006 (Patric Chenin, Tom Lyche, and Larry Schumaker eds.) Nashboro Press, 2007, pp. 244-253.
  33. [PDF] Surfaces parametrised by the normals, Jens Gravesen, Computing, 79, 175-183, 2007. DOI:10.1007/s00607-006-0196-9
  34. [PDF] Determination of Distance from a 2D Picture. Jens Gravesen, Benny Lassen, Roderick Melnik, Bruno Picasso, Robert Piché, Nenad Radulovic, and Linxiang Wang, Journal of Physics: Conference Series 52 46-57, 2006. DOI: 10.1088/1742-6596/52/1/005
  35. Acoustic waves in a medium bounded by curved surfaces, Morten Willatzen and Jens Gravesen, Journal of Sound and Vibration 296, 46-58, 2006. DOI: 10.1016/j.jsv.2006.01.063
  36. Electronic structure of helically coiled carbon nanotubes, Gian G. Guzman-Verri, Lok C. Lew Yan Voon, Morten Willatzen, and Jens Gravesen, Mat. Res. Soc. Proc. 901E, 2006, DOI: 10.1557/PROC-0901-Ra11-28-Rb11-28.
  37. Quantum Eigenstates of Curved Nanowire Structures Jens Gravesen and Morten Willatzen, Physica B, 371, 112-119, 2006. DOI: 10.1016/j.physb.2005.10.102
  38. Eigenstates of Möbius nanostructures including curvature effects, Jens Gravesen Morten Willatzen, Physical Review A, 72, 032108, 2005. DOI:10.1103/PhysRevA.72.032108
    Also in Virtual Journal of Nanoscale Science & Technology 12, no 14, 2005.
  39. Quantum-Mechanical Particle Confined to Surfaces of Revolution - Truncated Cone and Elliptic Torus Case Studies, Jens Gravesen, Morten Willatzen, and L.C. Lew Yan Voon, Physica Scripta, 72, no 2-3 105-111, 2005. MR2163461 (2006b:81055) DOI:10.1238/Physica.Regular.072a00105
  40. The Cut Locus of a Torus of Revolution, Jens Gravesen, Steen Markvorsen, Robert Sinclair, and Minoru Tananka, Asian Journal of Mathematics 9 (2005), no 1, 103-120. MR2150694 (2006b:53042) DOI: 10.4310/AJM.2005.v9.n1.a8
  41. [PDF] [ps] Schrödinger problems for surfaces of revolution - the finite cylinder as a test example, Jens Gravesen, Morten Willatzen and L.C. Lew Yan Voon, J. Math. Phys 46, no 1, 012107 (2005). MR2113754 DOI:10.1063/1.1829376
  42. [PDF] [ps] The Intrinsic Equation of Planar Curves and G2 Hermite Interpolation, Jens Gravesen, in Seattle Geometric Design Proceedings (Miriam Lucian and Mike Neamtu eds.) Nashboro Press, 2004, pp. 295-310. MR2122129
  43. [PDF] [ps] Third Order Invariants on Surfaces, Jens Gravesen, in Computational Methods for Algebraic Spline Surfaces (COMPASS) (Tor Dokken and Bert Jüttler eds.) Springer Verlag, 2004, pp. 193-211. MR2127190 (2006c:13011) DOI:10.1007/3-540-27157-0_14
    [PDF] [ps] Erratum for Section 7.3
  44. [PDF] [ps] Constructing invariant fairness measures for surfaces, Jens Gravesen and Michael Ungstrup, Advances in geometrical algorithms and representations. Adv. Comput. Math. 17, no. 1-2, 67-88, 2002. MR1902536 (2003e:65022) DOI:10.1023/A:1015229622042
  45. [PDF] [ps] The geometry of the scroll compressor, Jens Gravesen and Christian Henriksen, SIAM Review 43, no. 1, 113-126, 2001. MR1854648 (2002g:53007) DOI:10.1137/S0036144599362121
  46. [PDF] Geometrien af en scroll-kompressor. Fra et konkret problem til abstrakt matematik, Jens Gravesen and Christian Henriksen, Normat 47 (1999), no. 1, 1-19. MR1694645 (2000b:53004)
    (In Danish. English title: The geometry of the scroll compressor. From the concrete problem to abstract mathematics.)
  47. [PDF] [ps] De Casteljau's algorithm revisited, Jens Gravesen, in Mathematical methods for curves and surfaces, II (Lillehammer, 1997), 221-228, Innov. Appl. Math., Vanderbilt Univ. Press, Nashville, TN, 1998. MR1640554 (99d:65041)
  48. Adaptive subdivision and the length and energy of Bézier curves, Jens Gravesen, Comput. Geom. 8, no. 1, 13-31, 1997. MR1452922 (98b:65019) DOI:10.1016/0925-7721(95)00054-2
  49. The length of Bézier curves, Jens Gravesen, in Graphics Gems V, (Allan Paeth, ed.) AP Professional, Boston 1995, 199--205.
  50. Semi-regular B-spline surfaces: generalized lofting by B-splines, Jens Gravesen, Curves and surfaces in geometric design (Chamonix-Mont-Blanc, 1993), 225-232, A.K.Peters, Wellesley, MA, 1994. MR1302202
  51. A characterization of spheres, circles and cardioids, Lars Gæde; Jens Gravesen, and Steen Markvorsen, Arch. Math. (Basel) 60, no. 6, 579-590, 1993. MR1216704 (94e:53052) DOI:10.1007/BF01236085
  52. Loop groups and Yang-Mills theory in dimension two, Jens Gravesen, Comm. Math. Phys. 127, no. 3, 597-605, 1990. MR1040897 (91e:58042) DOI:10.1007/BF02104504
  53. Complex structures in the Nash-Moser category, Jens Gravesen, Ann. Global Anal. Geom. 7, no. 2, 155-161, 1989. MR1032333 (90k:32070) DOI: 10.1007/BF00127865
  54. [PDF] On the topology of spaces of holomorphic maps, Jens Gravesen, Acta Math. 162, no. 3-4, 247-286, 1989. MR0989398 (90g:32023) DOI:10.1007/BF02392839
  55. [PDF] Catastrophe theory and caustics, Jens Gravesen, SIAM Review 25, no. 2, 239-247. 1983. MR0700351 (84k:58044) DOI:10.1137/1025046
  56. [PDF] Whitney C-topologies and the Baire property., Jens Gravesen, Math. Scand. 52, no. 1, 58-60, 1983. MR0697498 (84g:58013)

Last modified: August 09 2017 14:14:49.