LIST OF PUBLICATIONS

TIBA DAN

BOOKS

1) ”Optimal control of nonsmooth distributed parameter systems”, Lecture Notes in Mathematics 1459, Springer Verlag, Berlin (1990) viii+159 pp.

2) ”Optimal control of nonlinear parabolic systems. Theory, algorithms and applications”, Marcel Dekker, New York (1994) xvi+399 pp. - written with P.Neittaanmaki.

3) ”Lectures on the optimal control of elliptic equations”, LN 32, Univ. of Jyvaskyla Press, Jyvaskyla, Finland (1995) vi+147 pp.

4) ”Optimization of elliptic systems. Theory and applications”, Springer Monographs in Mathematics, Springer, New York (2006) xv+507 pp.- written with J.Sprekels and P.Neittaanmaki.

EDITED VOLUMES

1) ”Optimization, optimal control and partial differential equations”, Proceedings of the first Franco-Romanian conference, ISNM 107, Birkhauser Verlag, Basel (1992) xiii+349 pp.- edited with V.Barbu and J.F.Bonnans.

2) ”Analysis and optimization of diferential systems”, IFIP TC7/WG7.2 international conference (Constanta 2002) Kluwer Acad.Publ. Boston, Ma (2003) x+442 pp.- edited with V.Barbu, I.Lasiecka and C.Varsan.

3) ”Recreatii Stiintifice”, vol. I-VI, Iasi 1883-1888, edited together with Introduction, Index and other supplements, “Recreatii Matematice” Publishing House, Iasi 2008 (with T.Birsan)

ARTICLES IN REFEREED JOURNALS

1) “Subdifferentials of composed functions and applications in optimal control”, An.St. Univ. “Al.I.Cuza” Iasi, Sect. Mat. vol.23, no.2 (1977), p.381-386

2) ”Nonlinear boundary value problems for second order differential equations”, Funkcial.Ekvac., vol.20, no.3 (1977), p.213-221.

3) ”General boundary value problems for second order differential equations”, Nonlinear Anal. vol.2, no.4 (1978), p.447-455.

4) ”Regularization of saddle functions”, Boll.Un.Mat.Ital.A(5), vol.17, no.3 (1980), p.420-427.

5) ”Regularity of the boundary data and the convergence of the finite element discretization in two-phase Stefan problems”, Internat. J. Engrg. Sci. vol.22, no.11-12 (1984), p. 1225-1234 - with M.Tiba.

6) ”Quelques remarques sur le controle de la corde vibrante avec obstacle” (French) C.R.A.S. Paris, Ser.I Math., vol.229, no. 13 (1984), p.615-617.

7) ”Some remarks on the control of the vibrating string with obstacle”, Rev. Roumaine Math. Pures Appl. vol.29, no.10 (1984), p.899-906.

8) ”Optimality criteria for convex control problems. Necessary conditions in problems with nonlinear state equations” (Romanian) Stud.Cerc.Mat. vol.36, no.6 (1984), p.511-540.

9) ”Optimality conditions for distributed control problems with nonlinear state equation”, SIAM J. Control Optim. vol.23, no.1 (1985), p. 85-110.

10) ”Controles de systemes fortement non lineaires” (French), C.R.A.S. Paris Ser.I Math. vol.300, no.12 (1985), p.393-396 - with V.Komornik.

11) ”Regularization of saddle functions and the Yosida approximation of monotone operators”, An.St. Univ. “Al.I.Cuza” Iasi Sect. I Mat. vol.31, no.3 p.215-220 - with E.Krauss.

12) ”Une approche par inequations variationnelles pour les problemes de controle avec contraintes” (French), C.R.A.S. Paris Ser. L Math. vol.302, no.1 (1986), p.29-31.

13) ”On the control of strongly nonlinear hyperbolic systems”, Acta math. Hungar. vol.49, no.1-2 (1987), p.261-266 - with V.Komornik

14) ”Optimal control for second order semilinear hyperbolic equations”, Control Theory Adv, Tech. vol.3, no.1 (1987), p.33-43.

15) ”On the approximation of the boundary control in two-phase Stefan-type problems”, Control Cybernet. vol.16, no.3-4 (1987), p.33-44 - with P.Neittaanmaki.

16) ”A steepest descent method for the approximation of the boundary control in two-phase Stefan problems”, Mathematica (Cluj) vol.29(52), no.2 (1987), p.157-167 - with P.Neittaanmaki.

17) ”A variational inequality approach to constrained control problems for parabolic equations”, Appl.Math.Optim. vol.17, no.3 (1988), p.185-201 - with P.Neittaanmaki.

18) ”Une approche par controlabilite frontiere dans les problemes de design optimal” (French), C.R.A.S. Paris Ser.I Math. vol.310, no.4 (1990), p.175-177.

19) ”Pontryagin’s principle in the control of elliptic variational inequalities”, Appl. Math. Optim. vol.23, no.3 (1991), p. 299-312 - with J.F.Bonnans.

20) ”Boundary controllability of the coincidence set in the obstacle problem”, SIAM J. Control Optim. vol.29, no.5 (1991), p.1150-1159 - with V.Barbu.

21) ”A rapid method for the identification of the free boundary in two-phase Stefan problem”, IMA J. Numer. Anal. vol.14, no.3 (1994), p.411-420 - with T.Mannikko and P.Neittaanmaki.

22) ”Sur l’approximation d’un probleme mal pose” (French), C.R.A.S. Paris Ser.I Math.vol.320, no.5 (1995), p.619-624.

23) ”An embedding of domains approach in free boundary problems and optimal design”, SIAM J. Control Optim. vol.33, no.5 (1995), p.1587-1602 - with P.Neittaanmaki.

24) ”General optimality conditions for constrained convex control problems”, SIAM J. Control Optim. vol.34, no.2 (1996), p.698-711 - with M.Bergounioux.

25) ”Error estimates for the discretization of state constrained convex control problems”, Numer.Funct.Anal.Optim. vol.17, no.9-10 (1996), p.1005-1028 - with F.Troltzsch.

26) ”Optimal control approach to optimal shape design”, Zeit. fur Angew.Math. Mech., vol.76, no.S3 (1996), p.203-206 - with T.Mannikko, P.Neittaanmaki.

27) ”Control of a plate with nonlinear shape memory alloy reinforcements”, Adv.Math.Sci.Appl. vol.7, no.1, p.427-436 (1997) - with K.-H.Hoffman.

28) ”Proprietes de bang-bang generalisees dans l’optimisation des plaques” (French), C.R.A.S.Paris Ser.I Math. vol.327, no.7 (1998) p.705-710 - with J.Sprekels.

29) ”Optimal control for the obstacle problem with state constraints”, ESAIM Proc. SMAI no.4, Paris (1998), p.7-19 (electronic) - with M.Bergounioux.

30) ”A duality approach in the optimization of beams and plates”, SIAM J. Control Optim. vol.37, no.2, (1999) p.486-501 (electronic) - with J.Sprekels.

31) ”A duality-type method for the design of beams” Adv.Math.Sci.Appl. vol.9, no.1 (1999) p.89-102 - with J.Sprekels.

32) ”On the approximation and optimization of plates” Numer.Funct.Anal. Optim. vol.21, no.3-4 (2000) p.337-354 -with V.Arnautu, H.Langmach and J.Sprekels.

33) ”Sur les problemes d’optimization structurelle” (French) C.R.A.S. Paris Ser.I Math. vol.331, no.1 (2000), p.101-106 - with W.Liu, P.Neittaanmaki.

34) ”Sur les arches lipschitziennes” (French) C.R.A.S. Paris Ser.I Math. vol.331, no.2 (2000), p.179-184 - with J.Sprekels.

35) ”Error estimates in the approximation of optimization problems governed by nonlinear operators” Numer. Funct. Anal.Optim. vol.22, no.7-8 (2000), p.953-972 - with W.Liu.

36) ”Analysis and optimization of nonsmooth arches” SIAM J. Control Optim. vol.40, no.4 (2001/2002), p.1107-1133 (electronic) - with A.Ignat, J.Sprekels.

37) ”On the optimization of nonsmooth Kirchoff-Love arches” Bul.Acad.St. Rep.Moldova Mat. no.3 (2001), p.23-26.

38) ”An analytic approach to a generalized Nagdhi shell model” Adv.Math.Sci. Appl. vol.12, no.1 (2002), p.175-190 - with J.Sprekels.

39) ”A model of a general curved rod” Math.Methods Appl.Sci. vol.25, no.10, p.835-854 - with A.Ignat, J.Sprekels.

40) ”Existence for shape optimization problems in arbitrary dimension”, SIAM J.Control Optim. vol.41, no.5 (2002), p.1440-1454 (electronic) - with W.Liu, P.Neittaanmaki.

41) ”A property of Sobolev spaces and existence in optimal design”, Appl.Math. Optim. vol.47, no.1 (2003), p.45-58.

42) ”Optimization of clamped plates with discontinuous thickness” Systems Control Lett. vol.48, no.3-4, (2003) p.289-295 - with J.Sprekels.

43) ”New results in shape optimization” Math.Rep. (Bucharest) vol.5(55), no.4, (2003) p.389-398.

44) ”On the necessity of some constraint qualification conditions in convex programming”, J.Convex Anal. vol.11, no.1 (2004), p.95-110 - with C. Zalinescu.

45) ”A century since the publication of the Ph.D. work of Dimitrie Pompeiu” (Romanian), Recreatii Matematice, vol.vii, no.2 (2005), p.85-89 - with T. Birsan.

46) ”Optimization of curved mechanical structures” SIAM J.Control Optim. vol.44, no.2 (2005) (electronic), p.743-775 - with V.Arnautu, J.Sprekels.

47) ”A general asymptotic model for Lipschitziam curved rods” Adv.Math.Sci. Appl. vol.15, no.1 (2005), p.137-198 - with R.Vodak.

48) ”A reduction approximation method for curved rods”, Numer. Funct.Anal. Optim. vol.26, no.2 (2005), p.139-155 -with V.Arnautu, J.Sprekels.

49) ”Applications of convexity in some identification problems”, Mathematical Reports, vol.9(59), no.1 (2007), p.123-133 - with M.Yamamoto and G.Wang.

50) ”Recreatii Stiintifice - 125 years since its publication” (Romanian,Recreatii Matematice, vol X, no1, p.1-6 (2008) reprinted in Gazeta Matematica A, vol XXVI (CV), nr.2 (2008), p.150-154 - with T.Birsan

51) Fixed domain approaches in shape optimization problems with Dirichlet boundary conditions, Inverse Problems, 25 (2009), p.1-18 - with P.Neittaanmaki, A.Pennanen

52) The Control Variational Approach For Differential Systems, SIAM J. Control Optim., vol. 47, no.6, p.3220-3226 - with J.Sprekels

ARTICLES IN INTERNATIONAL PROCEEDINGS VOLUMES

1) ”Obstacle problems for first order partial differential operators”, in “Variational inequalities and optimization problems” (Proc. Summer School Constanta), Minist. Ed. Inv. (1979), p.105-113.

2) ”Optimal control for a Stefan problem”, in “Analysis and optimization of systems” (Versailles, 1982), Lecture Notes in Control and Information Sci.44, Springer Verlag, Berlin (1982), p.776-787 - with Z.Meike.

3) ”Boundary control for a Stefan problem” In “Optimal control of partial differential equations” (Oberwolfach, 1982), ISNM 82, Birkhauser, Basel (1984), p. 229-242.

4) ”On the finite element approximation of the boundary control for two- phase Stefan problems” in “Analysis and optimization of systems.Part 1” (Nice, 1984), Lecture Notes in Control and Inform. Sci. 62, Springer, Berlin (1984), p.356-370 - with P.Neittaanmaki.

5) ”On the approximation of the boundary control of the two-phase Stefan problems”, Proceedings 23-rd IEEE/CDC (1984), p.1705-1706 - with P. Neittaanmaki.

6) ”Optimal control of hyperbolic variational inequalities” in “Nondifferentiable optimization : motivations and applications” (Sopron 1984), Lecture Notes in Econom. and Math. Systems 255, Springer, Berlin (1985), p.139-149.

7) ”Optimal control of semilinear hyperbolic boundary value problems” in “Workshop on Differential Equations” (Constanta 1986), Minist. Ed. Invat., p.25-33.

8) ”On state constrained optimal shape design problems” in “Optimal control of partial differentail equations ‘II (Oberwolfach 1986), ISNM 78, Birkhauser, Basel (1987), p.109-122 - with J.Haslinger and P.Neittaanmaki.

9) ”Equivalent control problems and applications” in “Control problems for systems described by partial differential equations and applications” (Gainesville, Florida, 1986), Lecture Notes in Control and Inform. Sci. 97, Springer, Berlin (1987), p. 154-161 - with J.F.Bonnans.

10) ”A variational inequality approach to the problem of the design of the optimal covering of an obstacle” in “Control of partial differential equations” (Santiago de Compostela 1997), Lecture Notes in Control and Inform. Sci. 114, Springer, Berlin (1989), p. 213-224 - with R.Makinen and P.Neittaanmaki.

11) ”Approximation for control problems with pointwise state constraints” in “Control and estimation of distributed parameter systems” (Vorau 1988), ISNM 91 Birkhauser, Basel (1989), p. 379-390 - with M.Tiba.

12) ”Optimal control of abstract variational inequalities” in “Control of distributed parameter systems”, Pergamon Press, Oxford (1990), p.410-414 - with V.Barbu.

13) ”A boundary control approach to an optimal shape design problem” in “Control of distributed parameter systems”, Pergamon Press, Oxford (1990), p.415-418 - with R.Makinen, P.Neittaanmaki anf T.Tiihonen.

14) ”Optimal control for state constrained two-phase Stefan problems” in “Numerical methods for free boundary problems” (Jyvaskyla, 1990), ISNM 99, Birkhauser, Basel (1991), p.309-316 - with P.Neittaanmaki.

15) ”Optimality conditions in the control of semilinear elliptic variational inequalities” in “Differential equations and control theory” (Iasi 1990), Pitman Res. Notes Math. Ser 250, Longman Sci.Tech., Harlow (1991), p.38-43 - with J.F.Bonnans.

16) ”Controllability-type properties for elliptic systems and applications”, ISNM 100, Birkhauser , Basel (1991), p.341-353 - with R.Makinen and P. Neit- taanmaki

17) ”A boundary controllability approach in optimal shape design” in “Boundary control and boundary variations” (Sophia-Antipolis 1990), Lecture Notes in Control and Inform. Sci. 178, Springer, Berlin (1992), p.309-320 - with R.Makinen and P.Neittaanmaki.

18) ”On a fixed domain approach for a shape optimization problem” in “Computational and applied mathematics II (Dublin 1991), p.317-326 - with R.Makinen and P.Neittaanmaki.

19) ”Controllability properties for elliptic systems, the fictitious domain method and optimal shape design problems”, ISNM 107, Birkhauser, Basel (1992), p.251-261.

20) ”On nonqualified parabolic control problems” in “Optimization and Control” (Jyvaskyla 1992), Report 58, Univ. of Jyvaskyla Press, Jyvaskyla (1993), p.17-30 - with M.Bergounioux and T.Mannikko.

21) ”Controllability properties for elliptic systems” in “International Conference on Differential Equations Vol.1,2” (Barcelona 1991),World Sci. Publishing, River Edge, NJ (1993), p.932-936.

22) ”Optimality conditions for non-qualified parabolic control problems” in “Control and estimation of distributed parameter systems : nonlinear phenomena” (Vorau 1993), ISNM 118, Birkhauser, Basel (1994) p.45-61 -with M.Bergounioux and T.Mannikko.

23) ”The method of arbitrary lines in the control of elliptic problems - error estimates” (Athens 1994), Hellenic Math.Soc., Athens (1994), p.205-217 - with L.S.Xanthis.

24) ”Fixed domain methods in variable domain problems” in “Free boundary problems:theory and applications” (Toledo 1993), Pitman Res.Notes Math. 323, Longman Sci.Tech., Harlow (1995), p.123-146 - with K.-H.Hoffman.

25) ”On the approximation of some ill-posed problems” in “Qualitative problems for differential equations and control theory”, World Sci.Publishing, River Edge, NJ (1995), p.251-262 - with P.Neittaanmaki and T.Raisanen.

26) ”Some examples of optimality conditions for convex control problems with general constraints” in “Control of partial differential equations and applications” (Laredo 1994), Lecture Notes in Pure and Appl. Math. 174, Marcel Dekker, New York (1996), p.23-30 - with M.Bergounioux.

27) ”An optimal control approximation method in shape optimization problems” in “Second Portuguese conf. on automatic control” (Porto 1996), APCA (1996), p.467-477 - with T.Mannikko.

28) ”On the approximation and optimization of fourth order elliptic systems” ISNM 133, Birkhauser, Basel (1999), p.277-286 - with J.Sprekels.

29) ”Shape optimization in free boundary systems” in “Free boundary problems:theory and applications II” (Chiba 1999), Gakuto Internat.Ser.Math.Sci.Appl. 14, Gakkotosho, Tokyo (2000), p.334-343 - with P.Neittaanmaki.

30) ”Control variational methods for differential equations” in “Optimal control of complex structures” (Oberwolfach 2000), ISNM 139 Birkhauser, Basel (2002), p.245-257 - with J.Sprekels.

31) ”Optimization of differential systems with hysteresis” in “Analysis and optimization of differential systems” (Constanta 2002), Kluwer Acad.Publ.,Boston, MA (2003), p. 387-398 - with J.Sprekels.

32) ”An approximation method for curved rods” in “Nonlinear partial differential equations and their applications”, Gakuto Internat.Ser.Math.Sci.Appl. 20, Gakkotosho, Tokyo (2004), p.305-314 - with J.Sprekels.

33) ”Optimal design of mechanical structures” in “Control theory of partial differential equations” Lecture Notes Pure Appl. Math. 242, Chapman and Hall / CRC, Boca Raton, FL (2005), p.259-271 - with J.Sprekels.

34) ”One hundred years since the introduction of the set distance by D. Pompeiu” in “System modeling and Optimization”, F.Ceragioli, A.Dontchev, H.Furuta, V.Marti, L.Pandolfi (Eds.), Springer, New York (2006), p.31-35 - with T.Birsan.

35) "A fixed domain approach in shape optimization problems with Neumann boundary conditions", in "Partial differential equations, modelling and numerical simulation", R.Glowinski, P.Neittaanmaki (Eds.), Springer Verlag, Berlin (2008), pag.235-244 - with P.Neittaanmaki.

36) "A Kalman-type filtering problem in the presence of multiplicative white noise", in "Evolutionary and deterministic methods for design, optimization and control", P.Neittaanmaki, J.Periaux and T.Tuovinen (Eds.), CIMNE, Barcelona (2008), pag.228-233 - with A.Stoica.

37) "A fixed domain approach in shape optimization problems with Newman boundary conditions", in "Partial differential equations. Modelling and numerical simulation", R.Glowinski and P.Neittaanmaki (Eds.), Springer, New York (2008), pag.235-244 - with P.Neittaanmaki.

VERY RECENT WORKS

1) Shape Optimization for Stationary Navier-Stokes Equations”, Perprint 3, Institute of Mathematics, Bucharest (2009) - with A.Halanay

2) Control Problems with mixed constraints and application to an optimal investment problem, Preprint 7, Institute of Mathematics, Bucharest (2009) - with J.F.Bonnans

3) The control variational method for beams in contact with deformable obstacles, Preprint 9, Institute of Mathematics, Bucharest (2009) - with M.Sofonea