List of Publications

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1. Isogeometric Analysis of Sound Propagation through Flow in 2-Dimensional Ducts (With Peter Nørtoft Nielsen and Morten Willatzen) Submitted to Journal of Sound and Vibration
2. Shape optimization of sub-wavelength antennas using isogeometric analysis (With Anton Evgrafov and Nguyen Dang Manh) Submitted to International Journal for Numerical Methods in Engineering

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   2011:
3. Discretizations in Isogeometric Analysis of Navier-Stokes Flow (With Peter Nørtoft Nielsen, Allan Roulund Gersborg, and Niels Lergaard Pedersen) Computer Methods in Applied Mechanics and Engineering, 200, 3242-3253, 2011. DOI:10.1016/j.cma.2011.06.007
4. On the sensitivities of multiple eigenvalues (With Anton Evgrafov and Nguyen Dang Manh) Structural and Multidisciplinary Optimization, 44, 583-587, DOI:10.1007/s00158-011-0644-9
5. Möbius semiconductor nanostructures and deformation potential strain effects (With Benny Lassen and Morten Willatzen) Journal of Nanoelectronics and Optoelectronics, 6, 68-75, 2011. DOI: 10.1166/jno.2011.1135
6. Isogeometric shape optimization of vibrating membranes (With Nguyen Dang Manh, Anton Evgrafov, and Allan Roulund Gersborg) Computer Methods in Applied Mechanics and Engineering, 200, 1343-1353, 2011. DOI:10.1016/j.cma.2010.12.015

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   2010:
7. Isogeometric analysis and shape optimisation (With 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.
8. Analytic theory of curvature effects for wave problems with general boundary conditions. (With Morten Willatzen and Lok C. Lew Yan Voon), Physical Review A, 81, 060102 1-4, 2010. DOI:10.1103/PhysRevA.81.060102
9. Electron conductance in curved quantum structures. (With Morten Willatzen), Superlattices and Microstructures, 47, 202-206, 2010. DOI:10.1016/j.spmi.2009.10.001

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   2009:
10. Parametrisation in Iso Geometric Analysis, a first report (With Nguyen Dang Manh, Peter Nørtoft Nielsen, Anton Evgrafov, and Allan Roulund Gersborg), October 21, 2009.

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    2008:
11. The geometry of the Moineau pump, Computer Aided Geometric Design, 25, 792-800, 2008. DOI:10.1016/j.cagd.2008.06.012
12. On rationally supported surfaces (With Bert Jüttler and Zbyněk Šír) Computer Aided Geometric Design, 25, 320-331, 2008. DOI:10.1016/j.cagd.2007.10.005
13. Electron states in curved quantum structures with varying radius (With Morten Willatzen) Superlattices and Microstructures, 43, 441-444, 2008. DOI:10.1016/j.spmi.2007.06.020
14. Curves and surfaces represented by polynomial support functions (With Zbyněk Šír and Bert Jüttler) Theoretical Computer Science, 392, 141-157, 2008. DOI:10.1016/j.tcs.2007.10.009

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    2007:
15. Approximating Offsets of Surfaces by using the Support Function Representation. (With 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.
16. Surfaces with Piecewise Linear Support Functions over Spherical Triangulations (With Henrik Almegaard, Anne Bagger, Bert Jüttler and Zbyněk Šír) in Mathematics of Surfaces XII, (Ralph Martin, Malcolm Sabin, Joab Winkler, Eds.) Springer Verlag, 2007, pp. 42-63.
17. Computing Convolutions and Minkowski sums via Support Functions (With Zbyněk Šír and Bert Jüttler) in Curve and Surface Design: Avignon 2006 (Patric Chenin, Tom Lyche, and Larry Schumaker eds.) Nashboro Press, 2007, pp. 244-253.
18. Surfaces parametrised by the normals. Computing, 79, 175-183, 2007. DOI:10.1007/s00607-006-0196-9

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    2006:
19. Determination of Distance from a 2D Picture. (With 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
20. Acoustic waves in a medium bounded by curved surfaces (With Morten Willatzen) Journal of Sound and Vibration 296, 46-58, 2006. DOI:10.1016/j.jsv.2006.01.063
21. Electronic structure of helically coiled carbon nanotubes (with Gian G. Guzman-Verri, Lok C. Lew Yan Voon, and Morten Willatzen) Mat. Res. Soc. Proc. 901E, 0901-Ra11-28-Rb11-28.1, 2006.
22. Quantum Eigenstates of Curved Nanowire Structures (With Morten Willatzen) Physica B, 371, 112-119, 2006. DOI:10.1016/j.physb.2005.10.102

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    2005:
23. Eigenstates of Möbius nanostructures including curvature effects. (With 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.
24. Quantum-Mechanical Particle Confined to Surfaces of Revolution - Truncated Cone and Elliptic Torus Case Studies. (With 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
25. The Cut Locus of a Torus of Revolution. (With Steen Markvorsen, Robert Sinclair, and Minoru Tananka) Asian Journal of Mathematics 9 (2005), no 1, 103-120. MR2150694 (2006b:53042)
26. [ps] Schrödinger problems for surfaces of revolution - the finite cylinder as a test example. (With Morten Willatzen and L.C. Lew Yan Voon) J. Math. Phys 46, no 1, 012107 (2005). MR2113754 DOI:10.1063/1.1829376

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    2004:
27. [ps] The Intrinsic Equation of Planar Curves and G² Hermite Interpolation. In Seattle Geometric Design Proceedings (Miriam Lucian and Mike Neamtu eds.) Nashboro Press, 2004, pp. 295-310. MR2122129
28. [ps] Third Order Invariants on Surfaces. In Computational Methods for Algebraic Spline Surfaces (COMPASS) (Tor Dokken and Bert Jüttler eds.) Springer Verlag, 2004, pp. 193-211. MR2127190 (2006c:13011)
    [ps] Erratum for Section 7.3

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29. [ps] Constructing invariant fairness measures for surfaces. (With 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

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30. [ps] The geometry of the scroll compressor. (With Christian Henriksen) SIAM Review 43, no. 1, 113-126, 2001. MR1854648 (2002g:53007) DOI:10.1137/S0036144599362121

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31. Geometrien af en scroll-kompressor. Fra et konkret problem til abstrakt matematik (With 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.)

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32. [ps] De Casteljau's algorithm revisited. In Mathematical methods for curves and surfaces, II (Lillehammer, 1997), 221-228, Innov. Appl. Math., Vanderbilt Univ. Press, Nashville, TN, 1998. MR1640554 (99d:65041)

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33. Adaptive subdivision and the length and energy of Bézier curves. Comput. Geom. 8, no. 1, 13-31, 1997. MR1452922 (98b:65019) DOI:10.1016/0925-7721(95)00054-2

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34. The length of Bézier curves. in Graphics Gems V, (Allan Paeth, ed.) AP Professional, Boston 1995, 199--205.

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35. Semi-regular B-spline surfaces: generalized lofting by B-splines. Curves and surfaces in geometric design (Chamonix-Mont-Blanc, 1993), 225-232, A.K.Peters, Wellesley, MA, 1994. MR1302202

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36. A characterization of spheres, circles and cardioids. (With Lars Gæde and Steen Markvorsen) Arch. Math. (Basel) 60, no. 6, 579-590, 1993. MR1216704 (94e:53052) DOI:10.1007/BF01236085

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37. Loop groups and Yang-Mills theory in dimension two. Comm. Math. Phys. 127, no. 3, 597-605, 1990. MR1040897 (91e:58042) DOI:10.1007/BF02104504

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38. Complex structures in the Nash-Moser category. Ann. Global Anal. Geom. 7, no. 2, 155-161, 1989. MR1032333 (90k:32070) DOI: 10.1007/BF00127865
39. On the topology of spaces of holomorphic maps. Acta Math. 162, no. 3-4, 247-286, 1989. MR0989398 (90g:32023) DOI:10.1007/BF02392839

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40. Catastrophe theory and caustics. SIAM Review 25, no. 2, 239-247. 1983. MR0700351 (84k:58044) DOI:10.1137/1025046
41. Whitney C^∞-topologies and the Baire property. Math. Scand. 52, no. 1, 58-60, 1983. MR0697498 (84g:58013)