Some recent (and not so recent) papers

• R. Mäkinen and J. Toivanen (2024), Monte Carlo Expected Wealth and Risk Measure Trade-Off Portfolio Optimization, SIAM Journal on Financial Mathematics 15 (2), SC41-SC53, [post-print (PDF)]
• J. Haslinger, R. Blaheta, and R. Mäkinen (2021), Parameter identification for heterogeneous materials by optimal control approach with flux cost functionals , Mathematics and Computers in Simulation, 189, 55-68. [post-print]
• Haslinger, J. & Mäkinen, R. A. E. (2015), On a topology optimization problem governed by two-dimensional Helmholtz equation, Computational Optimization and Applications, 62, 517-544.
  [post-print]
• J. Kataja, S. Järvenpää, and R. A. E. Mäkinen, Shape sensitivity analysis of electrically large metallic electromagnetic scatterers Opt-i, An International Conference on Engineering and Applied Sciences Optimization, Kos Island, Greece, June 4-6, 2014
• Kataja, J., Järvenpää S., Toivanen J.I., Mäkinen R.A.E. & Ylä-Oijala P., Shape Sensitivity Analysis and Gradient-Based Optimization of Large Structures Using MLFMA, IEEE Transactions on Antennas and Propagation, 62, 5610-5618 (2014).
• Toivanen, J.I., Mäkinen, R.A.E. & Haslinger, J. (2013). Topology optimization in Bernoulli free boundary problems, Journal of Engineering Mathematics, 80, 173-188. (preprint)
• S. Kähkönen, R. Glowinski, R. Rossi & R.A.E. Mäkinen (2011), Solution of time-periodic wave equation using mixed finite-elements and controllability techniques, Journal of Computational Acoustics, 19(4), 335-352
  DOI No: 10.1142/S0218396X11004377
• Toivanen, J.I. & Mäkinen, R.A.E. (2011). Implementation of sparse forward mode automatic differentiation with application to electromagnetic shape optimization. Optimization Methods & Software, 26 (4-5), 601-616.
• Toivanen, J.I., Mäkinen, R.A.E., Rahola, J., Järvenpää S. & Ylä-Oijala, P. (2010). Gradient-based shape optimisation of ultra-wideband antennas parameterised using splines. IET Microwaves, Antennas & Propagation, 4 (9), 1406-1414.
• Toivanen, J.I., Mäkinen, R.A.E., Järvenpää, S., Ylä-Oijala, P. & Rahola, J. (2009). Electromagnetic Sensitivity Analysis and Shape Optimization Using Method of Moments and Automatic Differentiation. IEEE Transactions on Antennas and Propagation, 57 (1), 168-175.
• Toivanen, J.I., Haslinger, J. & Mäkinen, R.A.E. (2008). Shape optimization of systems governed by Bernoulli free boundary problems. Computer Methods in Applied Mechanic and Engineering, 197 , 3803-3815. [preprint]
• Mäkinen, R.A.E. & Hämäläinen, J. (2006). Optimal control of a turbulent fibre suspension flowing in a planar contraction. Commun. Numer. Meth. Engng.,22, 567–575. [post-print]

Monograph

• J. Haslinger and R. A. E. Mäkinen, Introduction to Shape Optimization: Theory, Approximation, and Computation, SIAM, Philadelphia, 2003.

Older papers and reports

• R.A.E. Mäkinen, K. Hiltunen, M. Laitinen & A. Niemistö (2003), Exact linearization in numerical simulation and optimization
• J. Martikainen, R.A.E. Mäkinen, T. Rossi & J. Toivanen (2001), A preconditioner for linear elasticity problems, Thirteenth International Conference on Domain Decomposition Methods, Editors: N. Debit, M.Garbey, R. Hoppe, J. Periaux, D. Keyes, Y. Kuznetsov
• R. A. E. Mäkinen, J. Periaux & J. Toivanen (1999), Multidisciplinary shape optimization in aerodynamics and electromagnetics using genetic algorithms, Int. J. Numer. Meth. Fluids 30: 149-159. [post print]
• R. A. E. Mäkinen (1999), Combining Automatic Derivatives and Hand-coded Derivatives in Sensitivity Analysis for Shape Optimization Problems, Short paper proceedings of ”Third ISSMO/ UBCAD/ UB/ AIAA World Congress on Structural and Multidisciplinary Optimization”, Amherst, NY, May, 1999 (CD-ROM, 5 pp.)
• R. A. E. Mäkinen, P. Neittaanmäki, J. Periaux, and J. Toivanen (1998) A Genetic Algorithm for Multiobjective Design Optimization in Aerodynamics and Electromagnetics, Computational Fluid Dynamics ’98, K. D. Papailiou, D. Tsahalis, J. Periaux, D. Knörzer (eds.), John Wiley & Sons, Chichester, 418–422, 1998.
• I. Hlaváček and R. Mäkinen (1994), On the numerical solution of axisymmetric domain optimization problems by dual finite element method, Numerical Methods for Partial Differential Equations, 10, 637--650. [aceepted version]
• J. Haslinger, K.-H. Hoffmann and R.A.E. Mäkinen (1993), Optimal control/ dual approach for the numerical solution of a dam problem, Advances in Mathematical Sciences and Applications, 2, 189-213. [post print]
• J. Haslinger and R. Mäkinen (1992), Shape optimization of elasto-plastic body under plane strains: Sensitivity analysis and numerical implementation. Structural Optimization, 4, 133-141. (post print)
• R. Mäkinen (1990). Finite element design sensitivity analysis for non-linear potential problems. Communications in Applied Numerical Methods, 6, 343-350. [post print]
• Tiba, D., Neittaanmäki, P. & Mäkinen, R. (1990). A fixed domain approach in an optimal shape design problem. University of Jyväskylä, Department of Mathematics, Preprint 121.
  
• R. Mäkinen, On a Topology Optimization Problem Governed by the One-dimensional Wave Equation, Report B5/2014, University of Jyvaskyla, Department of Mathematical Information Technology.