Publications


Book:
Papers:
  1. A. Novruzi, B. Brotas, An accelerated Sobolev gradient method for unconstrained optimization problems based on variable inner products, Journal of Computational and Applied Mathematics 420, 114833, 2023

  2. J. Lamboley, A. Novruzi, M. P.ierre, Polygons as maximizers of Dirichlet energy or first eigenvalue of Dirichlet-Laplacian among convex planar domains, Advances in Calculus of Variations, 2022

  3. C. Meaney, M. Kohandel, A. Novruzi, Temporal optimization of radiation therapy to heterogeneous tumour populations and cancer stem cells, Journal of Mathematical Biology 85 (5), 51

  4. J. Lamboley, A. Novruzi, M. Pierre, Estimates of First and Second Order Shape Derivatives in Nonsmooth Multidimensional Domains and Applications, Journal of Functional Analysis, Volume 270, Issue 7, 1 April 2016, Pages 2616–2652

  5. P. Berg, S-J. Kimmerle, A. Novruzi, Modeling, shape analysis and computation of the equilibrium pore shape near a PEM-PEM intersection, Journal of Mathematical Analysis and Applications, Volume 410, Issue 1, 1 February 2014, Pages 241–256

  6. J. Lamboley, A. Novruzi, M. Pierre, Regularity and Singularities of Optimal Convex Shapes in the Plane, Archive for rational mechanics and analysis, Volume 205, Issue 1, Pages 311-343, July 2012

  7. J. Al-Smail, A. Novruzi,, Shape optimization of the hydrogen fuel cell cathode air channels, Journal of Mathematical Analysis and Applications, Volume 389, Issue 1, Pages 293-313, May 2012

  8. M. Al-Arydah, A. Novruzi, Existence of weak positive solutions to a nonlinear PDE system around a triple phase boundary, coupling domain and boundary variables, Journal of Mathematical Analysis and Applications, Volume 382, Issue 2, Pages 686?700, Oct. 2011

  9. J. Lamboley, A. Novruzi, Polygons as optimal shapes with convexity constraint, SIAM Control and Optimization, 48(5): 3003-3025, 2009

  10. P. Berg, A. Novruzi, O. Volkov, Reaction kinetics at the triple-point boundary in PEM fuel cells, Journal of Fuel Cell Science and Technology, 5, No. 2, 021007, 2008

  11. A. Novruzi, Existence of Optimal Shapes for a system of Conservation laws in a free air/porous domain, Quart. Appl. Math., 64, no.4, 641-661, 2006

  12. P. Berg, A. Novruzi, K. Promislow, Analysis of a Cathode Cathalyst Layer Model for a Polymer Electrolyte Fuel Cell, Chemical Engineering Science, 61(13), 4316-4331, 2006

  13. A. Novruzi, Shape optimization of free air - porous media transmission coefficient, Control and Boundary Analysis, in "A Series of Lecture Notes in Pure and Applied Mathematics", eds. J. Cagnol, J.-P. Zolesio, Vol. 240, 2005

  14. A. Novruzi, C2,a existence result for a class of shape optimization problems, SIAM Control and Optimization, Vol. 43, No. 1, pp. 174-193, 2004

  15. A. Novruzi, M. Pierre, Structure of shape derivatives, Journal of Evolution Equations, (2), 2002, no. 3, 365-382

  16. M. Hayouni, A. Novruzi, Sufficient condition for existence of solutions of a free boundary problem, Quarterly of Applied Mathematics, 60, no. 3, 425-435, 2002

  17. A. Novruzi, C1 boundary error estimation for an exterior Neumann problem in R3, Numerische Mathematik, vol. 88, no. 1, pp. 185-201, 2001

  18. A. Novruzi, J.-R. Roche, Newton's method in shape optimization. A three-dimensional case, BIT, volume 40:1, pp. 102-120, 2000

  19. A. Novruzi, Boundary Ca estimation for the gradient of the shape derivative of the solution of a Neumann problem in R3, Proceedings of Royal Society of Edinburgh (Section A), Volume 129, Part 6, 1999

  20. A. Novruzi, J.-R. Roche, Newton Method in Shape Optimisation Problems. Application to 3 Dimensional Electromagnetic Casting Problem, Proceedings of European Community on Computational Methods in Applied Sciences, ECCOMAS `96, ed. John-Wiley; Sons, 1996