List of Papers

    2023:
  1. Modeling and optimization of a spherical triboelectric generator Jens Gravesen, Morten Willatzen, Jiajia Shao, and Zhong Lin Wang, Nano Research, 2023. DOI: 10.1007/s12274-023-5745-4
  2. Quantitative Calculation of Output Power and Spherical Triboelectric Nanogenerators Jens Gravesen, Morten Willatzen, Jiajia Shao, and Zhong Lin Wang, Handbook of Triboelectric Nanogenerators, Zhong Lin Wang, Ya Yang, Junyi Zhai, Jie Wang (eds.), Springer 2023, pp. 1-39. DOI: 10.1007/978-3-031-05722-9_6-1
    3. 2022:
  3. Modeling and optimization of a rotational symmetric spherical triboelectric generator, Jens Gravesen, Morten Willatzen, Jiajia Shao, and Zhong Lin Wang, Nano Energy , 107491, 2022. DOI: 10.1016/j.nanoen.2022.107491
  4. Energy Optimization of a Mirror-Symmetric Spherical Triboelectric Nanogenerator, Jens Gravesen, Morten Willatzen, Jiajia Shao, and Zhong Lin Wang, Advanced Functional Materials, Vol 32, Issue 18, 2110516, 2022. DOI: 10.1002/adfm.202110516
  5. Global fulfilment of curvature constraints for surfaces, Jens Gravesen and Peter Nørtoft, Computer-Aided Design, 143, 103139. 2022. DOI: 10.1016/j.cad.2021.103139
    2021:
  6. Practical isogeometric shape optimization: Parameterization by means of regularization, Asger Limkilde, Anton Evgrafov, Jens Gravesen, and Angelos Mantzaflaris, Journal of Computational Design and Engineering, 8, 547-558, 2021. DOI: 10.1093/jcde/qwaa093
    2020:
  7. Quantum Eigenstates of Curved and Varying Cross-Sectional Waveguides, Jens Gravesen and Morten Willatzen, Applied Sciences, 10, 7240, 2020. DOI: 10.3390/app10207240
    2019:
  8. On the Geometry of Nanowires and the Role of Torsion, Jens Gravesen and Morten Willatzen, Physica Status Solidi, Rapid Research Letters, 13, 1800357, 2019. DOI: 10.1002/pssr.201800357
  9. The Four-Band Spin-Less Kane Model in Curvilinear Coordinates, Jens Gravesen and Morten Willatzen, Physica Status Solidi, Rapid Research Letters, 13, 1800305, 2019, DOI: 10.1002/pssr.201800305
    2018:
  10. On reducing computational effort in topology optimization: We can go at least this far!, Asger Limkilde, Anton Evgrafov, and Jens Gravesen Structural and Multidisciplinary Optimization, 58, 2481-2492, 2018. DOI: 10.1007/s00158-018-2121-1
  11. Bézier curves that are close to elastica, David Brander, J. Andreas Bærentzen, Ann-Sofie Fisker, and Jens Gravesen, Computer-Aided Design, 104, 36-44, 2018. DOI: 10.1016/j.cad.2018.05.003.
  12. Designing interactively with elastic splines, David Brander, J. Andreas Bærentzen, Ann-Sofie Fisker, and Jens Gravesen, Computer Aided Geometric Design, 62, 181-191, 2018. DOI: 10.1016/j.cagd.2018.03.007.
  13. Monge surfaces and planar geodesic foliations, David Brander and Jens Gravesen, Journal of Geometry 109:4, 2018. DOI: 10.1007/s00022-018-0413-7
    2017:
  14. [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, 2017, pp. 253-274. DOI: 10.1007/978-3-319-63957-4_12
  15. 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
  16. 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
    2016:
  17. [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
  18. [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
  19. 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
    2015:
  20. [PDF] The Metric of Colour Space, Jens Gravesen, Graphical Models, 82, 77-86, 2015. DOI:10.1016/j.gmod.2015.06.005
  21. 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
    2014:
  22. 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
  23. [PDF] Planar Parametrization in Isogeometric Analysis, 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
  24. 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
  25. 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, Berlin, Heidelberg, 2013, pp. 409-435, DOI: 10.1007/978-3-642-39197-2_16.
    Second edition:, Springer, Cham, 2018, pp. 499-533. DOI: 10.1007/978-3-319-95159-1_16.
    2013:
  26. 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
    2012:
  27. [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
  28. 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
    2011:
  29. [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
  30. [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
  31. 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
  32. [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
    2010:
  33. [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.
  34. 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
  35. 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
    2009:
  36. [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.
    2008:
  37. [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
  38. [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
  39. [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
  40. [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
    2007:
  41. [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
  42. [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
  43. [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.
  44. [PDF] Surfaces parametrised by the normals, Jens Gravesen, Computing, 79, 175-183, 2007. DOI:10.1007/s00607-006-0196-9
    2006:
  45. [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
  46. 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
  47. 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.
  48. 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
    2005:
  49. 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.
  50. 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
  51. 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
  52. [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
    2004:
  53. [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
  54. [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
  55. [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
  56. [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
  57. [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.)
  58. [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)
  59. 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
  60. The length of Bézier curves, Jens Gravesen, in Graphics Gems V, (Allan Paeth, ed.) AP Professional, Boston 1995, 199--205. DOI:10.1016/B978-0-12-543457-7.50035-8
  61. 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
  62. 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
  63. 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
  64. 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
  65. [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
  66. [PDF] Catastrophe theory and caustics, Jens Gravesen, SIAM Review 25, no. 2, 239-247. 1983. MR0700351 (84k:58044) DOI:10.1137/1025046
  67. [PDF] Whitney C∞-topologies and the Baire property., Jens Gravesen, Math. Scand. 52, no. 1, 58-60, 1983. MR0697498 (84g:58013)
Last modified: June 30 2023 10:30:28.