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to the Homepage of Michal Kocvara
J.
Outrata, M. Kocvara and J. Zowe. Nonsmooth Approach to
Optimization Problems
with Equilibrium Constraints: Theory, Applications and Numerical
Results.
Kluwer Academic Publishers, Dordrecht, 1998.
A. H.
Siddiqi and M. Kocvara (Eds.) Trends in Industrial and
Applied Mathematics.
Kluwer Academic Publishers, Dordrecht, 2002.
M.
Kocvara and J. Mandel. A multigrid method for three-dimensional
elasticity and
algebraic convergence estimates. Applied Mathematics and
Computation,
23:121--135, 1987.
M.
Kocvara. An algebraic study of a local multigrid method for variational
problems.
Applied Mathematics and Computation, 51:17--41, 1992.
M.
Kocvara. An
iterative method for adaptive finite element computation. Computer
Methods
in Applied Mechanics and Engineering, 101:433--442, 1992.
M.
Kocvara. An
adaptive multigrid technique for three-dimensional elasticity. International
Journal for Numerical Methods in Engineering, 36:1703--1716,
1993.
J.
Haslinger, K.-H. Hoffmann, and M. Kocvara. Control/fictitious domain
method for solving optimal
shape design problems. M²AN Mathematical
Modelling and Numerical
Analysis, 27:157--182, 1993.
M.
Kocvara, J. Zowe. An
iterative two-step method for linear complementarity problems. Numerische
Mathematik, Vol 68 (1994), 95--106.
M.
Kocvara and J. V. Outrata. On optimization of systems governed by
implicit
complementarity problems. Numerical Functional Analysis and
Optimization,
15:869--887, 1994.
M.
Kocvara and J. V. Outrata. On the solution of optimum design problems
with
variational inequalities. In: Recent Advances in Nonsmooth
Optimization
(D.-Z. Du, L. Qi and R.L. Womersley, eds.), pages 171--191. World
Scientific
Publishers, 1995.
M.
Kocvara and J. V. Outrata. On a class of quasi-variational
inequalities. Optimization
Methods and Software, 5:275--295, 1995.
W. Achtziger,
M. Kocvara and J. Zowe. Von der Mathematik
zum automatisierten Design, Spektrum -- Zeitschrift der
Universität Bayreuth,
1995.
M.
Kocvara. Topology
Optimization Problems with Displacement Constraints: A Bilevel
Approach. Structural
Optimization, 14:256--263, 1997
J.
Zowe, M. Kocvara and M. Bendsoe. Free material optimization via
mathematical
programming. Mathematical Programming, Series B,
79:445--466, 1997.
F.
Jarre, M. Kocvara and J. Zowe. Optimal truss design by interior point
methods. SIAM
J. Optimization 8(4): 1084--1107, 1998.
M.
Kocvara, M. Zibulevsky and J. Zowe. Mechanical design problems with
unilateral
contact. M2AN Mathematical Modelling and Numerical Analysis,
32:
255--282, 1998.
M. Kocvara and J. Zowe. Free material optimization. Documenta Mathematica J. DMV, Extra Volume ICM 1998, III, 707--716. (ps.gz 102k).
A.
Ben-Tal, M. Kocvara, A. Nemirovski and J. Zowe. Free material
optimization via
semidefinite programming: the multiload case with contact conditions. SIAM
J. Optimization 9(4): 813--832, 1999 and SIAM Review,
42(4): 695 -
715, 2000.
M.
Kocvara, J. Zowe, and A. Nemirovski. Cascading - An Approach to Robust
Material
Optimization. Computers & Structures 76:
431--442, 2000.
A.
Ben-Tal, F. Jarre, M. Kocvara, A. Nemirovski and J. Zowe. Optimal
design of
trusses under a nonconvex global buckling constraint. Optimization
and
Engineering 1: 189--213, 2000.
J.
Haslinger, M. Kocvara, and T. Roubicek. Optimal control of distributed
parameter systems. ERCIM News 40: 24--25, 2000.
A. H.
Siddiqi, P. Manchanda, and M. Kocvara. An Iterative Two-Step Algorithm
for
American Option Pricing. IMA Journal of Mathematics Applied
in Business and
Industry 11(2): 71--84, 2000.
H.R.E.M.
Hornlein, M. Kocvara, and R. Werner. Material Optimization: Bridging
the Gap
between Conceptual and Preliminary Design. Aerospace Science
and Technology
5: 541-554, 2001.
M. Kocvara. On the
modelling and solving of the truss design problem with global stability
constraints. Structural and Multidisciplinary Optimization
23(3):189--203, 2002.
P.
Beremlijski, J. Haslinger, M. Kocvara, and J. Outrata. Shape
Optimization in
Contact Problems with Coulomb Friction. SIAM J. Optimization
13(2):561--587,
2002.
U. Kirsch, M.
Kocvara, and J. Zowe. Accurate Reanalysis of
Structures by a Preconditioned
Conjugate Gradient Method. International Journal for
Numerical Methods in
Engineering 5(2):233--251, 2002.
M.
Kocvara and M. Stingl. PENNON - A Code for Convex Nonlinear and
Semidefinite
Programming. Optimization Methods and Software
18(3):317-333, 2003 (pdf
, ps of
the Research Report).
M.
Kocvara and M. Stingl. Solving nonconvex SDP problems of structural
optimization with stability control. Optimization Methods and
Software
19(5):595-609, 2004 (pdf
of the Research
Report).
M.
Kocvara and J. Outrata. Optimization Problems with Equilibrium
Constraints and
their Numerical Solution. Mathematical Programming B 101(1):119-150,
2004 (pdf of the
Research Report).
M. Kocvara and J. Outrata. Effective Reformulations of the Truss Topology Design Problem. Optimization and Engineering 7:201-219, 2006 (pdf of the Research Report).
KMR:03
M. Kocvara, A. Mielke and T. Roubícek. A rate-independent approach to the delamination problem. Mathematics and Mechanics of Solids 11: 423-447, 2006 (pdf of Preprint No. 2003/29, SFB 404 "Mehrfeldprobleme in der Kontinuumsmechanik", Universität Sttutgart, April 2003, 1.7MB)
M. Kocvara, M. Kruzik and J.V. Outrata. On the control of an evolutionary equilibrium in micromagnetics. In: S. Dempe and V. Kalashnikov, eds., Optimization with Multivalued Mappings, Springer 2006, pp. 143-168 (pdf of IMA Preprint 2026, University of Minnesota, Minneapolis, February 2005).
M. Kocvara and M. Stingl. On the solution of large-scale SDP problems by the modified barrier method using iterative solvers. Mathematical Programming, Series B, 109(2-3):413-444, 2007, Springerlink, DOI 10.1007/s10107-006-0029-9 (pdf of the Research Report 304, Institute of Applied Mathematics, University of Erlangen, 2005) .
M. Kocvara and M. Stingl. Free material optimization for stress constraints. Structural and Multidisciplinary Optimization, 33(4-5), 323-335, 2007, Springerlink, DOI: 10.1007/s00158-007-0095-5 (pdf of the Research Report).
W. Achtziger and M. Kocvara. Structural Topology Optimization with Eigenvalues. SIAM J. Optimization 18(4): 1129-1164, 2007, DOI: 10.1137/060651446 (pdf of the Research Report).
W. Achtziger and M. Kocvara. On the Maximization of the Fundamental Eigenvalue in Topology Optimization. Structural and Multidisciplinary Optimization 34(3):181-195, DOI: 10.1007/s00158-007-0117-3 (pdf of the Research Report).
M. Kocvara, M. Stingl and J. Zowe. Free material optimization: recent progress. Optimization, 57(1) : 79-100, 2008, DOI: 10.1080/02331930701778908 (pdf of the Research Report).
M. Stingl, M. Kocvara and G. Leugering. A Sequential Convex Semidefinite Programming Algorithm for Multiple-Load Free Material Optimization. SIAM J. Optimization, 20(1):130-155, 2009, DOI: 10.1137/070711281 (pdf of the Research Report).
M. Kocvara
and M. Stingl. On
the solution of large-scale SDP problems by the modified barrier method
using iterative solvers: Erratum. Mathematical Programming, Series
B,
120(1):285-287, 2009,
DOI: 10.1007/s10107-008-0250-9. (pdf)
M. Stingl,
M. Kocvara
and G. Leugering. Free Material
Optimization with
Fundamental Eigenfrequency Constraints. SIAM J.
Optimization,
20(1):524-547, 2009, DOI: 10.1137/080717122 (pdf
of the Research Report 319.)
P. Beremlijski, J. Haslinger, M. Kocvara, R. Kucera, and J. Outrata. Shape Optimization in Three-Dimensional Contact Problems with Coulomb Friction. SIAM J. Optimization 20(1):416-444, 2009, DOI: 10.1137/080714427.
HKLS:10
J. Haslinger, M. Kocvara , G. Leugering , and M. Stingl. Multidisciplinary Free Material Optimization. SIAM J. Appl. Math. 70(7):2709-2728, 2010, DOI: 10.1137/090774446.
M.
Kocvara. LAME --- local adaptive multigrid for 3D elasticity. In Proc.
of
the VI. Internat. Conf. on Mathematical Methods in Engineering,
Plzen,
1991.
M.
Kocvara and J. V. Outrata. A nondifferentiable approach to the solution
of
optimum design problems with variational inequalities. In P. Kall,
editor, Proc.
of the 15th IFIP Conf. on System Modelling and Optimization,
Lecture Notes
in Control Inf. Sci. 180, pages 364--373, Zurich, Sept. 2--6 1991.
A.
Ben-Tal, M. Kocvara, J. Zowe. Two nonsmooth methods for
simultaneous geometry and
topology design of trusses. In Topology Optimization of
Structures (Eds.
Bendsøe, Soares), Kluwer Academic Publisher, Netherlands,
pp. 31--42.
M.
Kocvara and J. V. Outrata. On implicit complementarity problems with
application in mechanics. In J.-P. Zolésio, editor, Proc.
of the IFIP Conf.
on Numerical Analysis and Optimization, Rabat, Dec. 15--17
1993.
M.
Kocvara and J. V. Outrata. Shape optimization of elasto-plastic bodies
governed
by variational inequalities. In J.-P. Zolésio, editor, Boundary
Control and
Variation, Lecture Notes in Pure and Applied Mathematics 163,
pages
261--271. Marcel
Dekker, 1994.
M. Kocvara and
J. V. Outrata. A numerical approach to the design of masonry
structures. In J.
Henry and J.-P. Yvon, editors, System Modelling and
Optimization,
Lecture Notes in Control Inf. Sci. 197, pages195--205, Springer-Verlag
London,
1994.
M.
Kocvara, M. Rozlozník, and L. Xanthis. On iterative solvers
for the method of
arbitrary lines. In E. Lipitakis, editor, Proc. of the 2nd
Hellenic European
Conf. on Mathematics and Informatics HERMIS '94, Hellenic
Mathematical
Society, Athens, 1994, pp. 261--272.
M.
Kocvara and J. Zowe. How to optimize mechanical structures
simultaneously with
respect to topology and geometry. In N. Olhoff and G.I.N. Rozvany,
eds., Structural
and Multidisciplinary Optimization, Elsevier Science, Oxford,
1995, pp.
135--140.
M.
Kocvara and J. Zowe. How mathematics can help in design of mechanical
structures. In D.F. Griffiths and G.A. Watson, eds., Numerical
Analysis 1995,
Longman, Harlow, 1996, pp. 76--93.
M.
Kocvara and J. V. Outrata. A Nonsmooth Approach to Optimization
Problems with
Equilibrium Constraints. In M. Ferris and J.-S. Pang, editors, Complementarity
and Variational Problems, SIAM, Philadelphia, 1997, pp.
148--164.
M.
Kocvara and J. Outrata. On exterior penalties in equilibrium problems. In
Zimmermann, Derings,
Gaul, Mohring, Schuster, eds., Operations Research Proc. 1996,
Sprigner
Verlag, Berlin, 1997, pp. 37--42.
H.R.E.M.
Hoernlein and M. Kocvara. MOPED---An Integrated Designer Tool for
Material
Optimization. In H. Hoenlinger, ed., CEAS Conf. on
Multidisciplinary
Aircraft Design and Optimization, DGLR-Bericht 2001-05, Bonn,
2001, pp.
87-96.
M.
Kocvara and J. Zowe. Free Material Optimization: An Overview. In A.H.
Siddiqi
and M. Kocvara, eds., Trends in Industrial and Applied
Mathematics,
Kluwer Academic Publishers, Dordrecht, 2002, pp. 181-215.
M.
Kocvara and M. Stingl. PENNON - A Generalized Augmented Lagrangian
Method for
Semidefinite Programming. In G. Di Pillo and A. Murli, eds., High
Performance Algorithms and Software for Nonlinear Optimization,
Kluwer
Academic Publishers, Dordrecht, 2003, pp. 297-315 (pdf
, ps).
M.
Kocvara and J. Outrata. On the modeling and control of delamination
processes.
In: Control and Boundary Analysis, J. Cagnol and J.-P. Zolesion, eds.,
Marcel
Dekker, New York, 2004, pp. 171-190 (Proc. of the 21st IFIP
TC7 Conf. on
System Modelling and Optimization, Sophia Antipolis, July 21-25, 2003.)
(pdf).
KS:05
M.
Kocvara and M. Stingl. Recent progress in the NLP-SDP code PENNON. Oberwolfach
Report 2/2005
F. Jarre, C. Lemarechal, J. Zowe, Eds. Mathematisches
Forschungsinstitut
Oberwolfach 2005, pp. 101-103
KS:05a
M. Kocvara and M. Stingl. The worst-case multiple-load FMO problem revisited. In: M.P. Bendsoe, N. Olhoff and O. Sigmund, eds., IUTAM-Symposium on Topological Design Optimization of Structures, Machines and Material: Status and Perspectives, Springer, 2006, pp. 403-411. (Springerlink, DOI 10.1007/1-4020-4752-5_40)
DLKS:05
D. Henrion, J. Löfberg,
M. Kocvara, M. Stingl. Solving
polynomial
static output feedback problems with PENBMI. Proceedings of
the 44th IEEE Conference on Decision and
Control, and the European Control Conference 2005, Seville, Spain,
December 12-15, 2005, pp. 7581-7586 (pdf).
M. Kocvara, M. Stingl. Free material opimization: towards the stress constraints. In: K. Kunisch, G. Leugering, J. Sprekels, F. Tröltzsch (eds): Optimal control of Coupled Systems of PDE, Report 13/2008. Oberwolfach Reports, Volume 5, Issue 1, pp. 620-621, EMS Publishing House, Zurich, 2008.
LKS:08G. Leugering, M. Kocvara, M. Stingl. A new method for the solution of multidisciplinary free material opimization problems. In: K. Kunisch, G. Leugering, J. Sprekels, F. Tröltzsch (eds): Optimal control of Coupled Systems of PDE, Report 13/2008. Oberwolfach Reports, Volume 5, Issue 1, pp. 647-648, EMS Publishing House, Zurich, 2008.
SKL:08M. Stingl, M. Kocvara and G. Leugering. A new non-linear semidefinite programming algorithm with an application to multidisciplinary free material optimization. In: K. Kunisch, G. Leugering, J. Sprekels, F. Tröltzsch (eds): Optimal control of Coupled Systems of Partial Differential Equations, International Series of Numerical Mathematics 133, pp. 275-295, Birkhäuser, 2009.
BKS:09C. Bogani, M. Kocvara and M. Stingl. A new approach to the solution of the VTS problem with vibration and buckling constraints. Proceedings of the 8th World Congress on Structural and Multidisciplinary Optimization (WCSMO-8), Lisbon, Portugal, 1--5 June 2009, 10 pages.
FKS:09J. Fiala, M. Kocvara and M. Stingl. On iterative solvers for nonconvex models of free material optimization problems. Proceedings of the 8th World Congress on Structural and Multidisciplinary Optimization (WCSMO-8), Lisbon, Portugal, 1--5 June 2009, 9 pages.
SKL:09M. Stingl, M. Kocvara and G. Leugering. The theory of multidisciplinary free material optimization. Proceedings of the 8th World Congress on Structural and Multidisciplinary Optimization (WCSMO-8), Lisbon, Portugal, 1--5 June 2009, 10 pages.
M.
Kocvara and J. Zowe. Codes for truss topology design: a numerical
comparison.
DFG Report 344, Mathematical Institut, University of Bayreuth, 1991.
A.
Ben-Tal, M. Kocvara, and J. Zowe. QP3 and CGO --- codes for solving
truss optimization
problems. DFG Report 343, Mathematical Institut, University of
Bayreuth, 1991.
M.
Kocvara and J. V. Outrata. A numerical solution of two selected shape
optimization problems. DFG Report 464, Mathematical Institut,
University of
Bayreuth, 1993.
M.
Kocvara. Modern
Optimization Algorithms in Topology Design. Research Report 263,
Institute of
Applied Mathematics, University of Erlangen, 2000.
M.
Kocvara, M. Stingl, and R. Werner. MOPED User's Guide. Version 1.02.
Research
Report 262, Institute of Applied Mathematics, University of Erlangen,
1999.
H.R.E.M.
Hornlein, M. Kocvara, and R. Werner. MOPED - An Integrated Designer
Tool for
Material Optimization. Research Report 279, Institute of Applied
Mathematics,
University of Erlangen, 2001
D.
Henrion, M. Kocvara and M. Stingl. Solving
simultaneous stabilization
BMI
problems with PENNON. LAAS-CNRS Research Report No. 03549, December
2003, LAAS
Toulouse (ps).
M. Kocvara,
F. Leibfritz, M. Stingl, and D. Henrion. A nonlinear SDP algorithm for
static output feedback
problems in COMPlib. LAAS-CNRS Research Report No. 04508, October 2004,
LAAS
Toulouse (ps).
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Michal
Kocvara
October 14,
2009