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Applications of NonCommutative Geometry to Gauge Theories, Field Theories, and Quantum Space-Time / Applications de la Géométrie Non Commutative aux Théories de Jauge, à la Théorie des Champs et aux Espaces-Temps Quantiques

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CEMRACS : Numerical modeling of plasmas / CEMRACS : Modèles numériques des plasmas

Collection CEMRACS : Numerical modeling of plasmas / CEMRACS : Modèles numériques des plasmas

Organizer(s) Campos Pinto, Martin ; Charles, Frédérique ; Guillard, Hervé ; Nkonga, Boniface
Date(s) 21/07/2014 - 29/08/2014
linked URL http://smai.emath.fr/cemracs/cemracs14/
00:00:00 / 00:00:00
8 14

Chapters

Towards complex and realistic tokamaks geometries in computational plasma physics

By Ahmed Ratnani

Information about the video

Citation data

  • DOI 10.24350/CIRM.V.18556703
  • Cite this video Ratnani, Ahmed (14/08/2014). Towards complex and realistic tokamaks geometries in computational plasma physics. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18556703
  • URL https://dx.doi.org/10.24350/CIRM.V.18556703

Domain(s)

Bibliography

  • Ratnani, A. et al. Gasus : Python for IsoGeometric Analysis simulations in Plasmas Physics. (In preparation)
  • Ratnani, A. et al. Alignement and equidistribution for two-dimensional grid adaptation using B-splines. (In preparation)
  • Ratnani, A. et al. Application of the IsoGeometric mesh adaptation for solving the Anistropic Diffusion problem. (In preparation)
  • Baines, M.J. Least squares and approximate equidistribution in multidimensions. Numerical Methods for Partial Dierential Equations, vol. 15 (1999), no. 5, pp. 605-615 - http://dx.doi.org/10.1002/(sici)1098-2426(199909)15:5<605::aid-num7>3.0.co;2-9
  • Benamou, J.D., Froese, B. D. and Oberman, A. M. Two numerical methods for the elliptic monge-ampère equation. ESAIM : Mathematical Modelling and Numerical Analysis, vol. 44 (2010), no. 4, pp. 737-758 - http://dx.doi.org/10.1051/m2an/2010017
  • Brenier, Y. Polar factorization and monotone rearrangement of vector-valued functions. Communications on Pure and Applied Mathematics, vol. 44 (1991), no. 4, pp. 375-417 - http://dx.doi.org/10.1002/cpa.3160440402
  • Budd, C.J., Cullen, M.J.P. and Walsh, E.J. Monge-ampère based moving mesh methods for numerical weather prediction, with applications to the eady problem. Journal of Computational Physics, vol. 236 (2013), pp. 247-270 - http://dx.doi.org/10.1016/j.jcp.2012.11.014
  • Delzanno, G.L., Chacon, L., Finn, J.M., Chung, Y. and Lapenta, G. An optimal robust equidistribution method for two-dimensional grid adaptation based on monge-kantorovich optimization. Journal of Computational Physics, vol. 227 (2008), no. 23, pp. 9841-9864 - http://dx.doi.org/10.1016/j.jcp.2008.07.020
  • Fasshauer, G.E. and Schumaker, Larry L. Minimal energy surfaces using parametric splines. Computer Aided Geometric Design, vol. 13 (1996), no. 1, pp. 45-79 - http://dx.doi.org/10.1016/0167-8396(95)00006-2
  • Floater, M.S. and Hormann, K. Surface parameterization : a tutorial and survey. In Dodgson, N.A. (ed.) et al., Advances in Multiresolution for Geometric Modelling. Mathematics and Visualization. Berlin, Springer, 2005, pp. 157-186. ISBN 3-540-21462-3 - http://dx.doi.org/10.1007/3-540-26808-1_9
  • Huang, W. and Russell, R.D. Adaptive moving mesh methods. Applied mathematical sciences, 174. New York, Springer, 2011. xvii, 432 p. ISBN 978-1-4419-7915-5 - http://dx.doi.org/10.1007/978-1-4419-7916-2

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