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Publications

Books:

OKZ:98

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.

SK:02

A. H. Siddiqi and M. Kocvara (Eds.) Trends in Industrial and Applied Mathematics. Kluwer Academic Publishers, Dordrecht, 2002.

Journals, Chapters in Books:

KM:87

 M. Kocvara and J. Mandel. A multigrid method for three-dimensional elasticity and algebraic convergence estimates. Applied Mathematics and Computation, 23:121--135, 1987.

Koc:92a

 M. Kocvara. An algebraic study of a local multigrid method for variational problems. Applied Mathematics and Computation, 51:17--41, 1992.

Koc:92b

 M. Kocvara. An iterative method for adaptive finite element computation. Computer Methods in Applied Mechanics and Engineering, 101:433--442, 1992.

Koc:93

 M. Kocvara. An adaptive multigrid technique for three-dimensional elasticity. International Journal for Numerical Methods in Engineering, 36:1703--1716, 1993.

HHK:93

 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.

KZ:94

 M. Kocvara, J. Zowe. An iterative two-step method for linear complementarity problems. Numerische Mathematik, Vol 68 (1994), 95--106.

KO:94a

 M. Kocvara and J. V. Outrata. On optimization of systems governed by implicit complementarity problems. Numerical Functional Analysis and Optimization, 15:869--887, 1994.

KO:95a

 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.

KO:95b

 M. Kocvara and J. V. Outrata. On a class of quasi-variational inequalities. Optimization Methods and Software, 5:275--295, 1995.

Akz:95

W. Achtziger, M. Kocvara and J. Zowe. Von der Mathematik zum automatisierten Design, Spektrum -- Zeitschrift der Universität Bayreuth, 1995.

Koc:97

 M. Kocvara. Topology Optimization Problems with Displacement Constraints: A Bilevel Approach. Structural Optimization, 14:256--263, 1997

ZKB:97

 J. Zowe, M. Kocvara and M. Bendsoe. Free material optimization via mathematical programming. Mathematical Programming, Series B, 79:445--466, 1997.

JKZ:98

 F. Jarre, M. Kocvara and J. Zowe. Optimal truss design by interior point methods. SIAM J. Optimization 8(4): 1084--1107, 1998.

KZZ:98

 M. Kocvara, M. Zibulevsky and J. Zowe. Mechanical design problems with unilateral contact. M2AN Mathematical Modelling and Numerical Analysis, 32: 255--282, 1998.

KZ:98

 M. Kocvara and J. Zowe. Free material optimization. Documenta Mathematica J. DMV, Extra Volume ICM 1998, III, 707--716. (ps.gz 102k).

BKNZ:99

 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.

KZN:98

 M. Kocvara, J. Zowe, and A. Nemirovski. Cascading - An Approach to Robust Material Optimization. Computers & Structures 76: 431--442, 2000.

BJKNZ:00

 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.

HKR:00

 J. Haslinger, M. Kocvara, and T. Roubicek. Optimal control of distributed parameter systems. ERCIM News 40: 24--25, 2000.

SMK:00

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.

HKW:01a

 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.

Koc:02

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.

BHKO:01

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.

KKZ:02

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.

KS:02

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).

KS:04

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).

KO:03

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).

KO:03a

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)

KKO:05

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).

KS:05

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) .

KS:06

M. Kocvara and M. Stingl.  Free material optimization for stress constraints.  Structural and Multidisciplinary Optimization33(4-5), 323-335, 2007, Springerlink, DOI: 10.1007/s00158-007-0095-5 (pdf of the Research Report).

AK:06

W. Achtziger and M. Kocvara. Structural Topology Optimization with EigenvaluesSIAM J. Optimization 18(4): 1129-11642007, DOI: 10.1137/060651446  (pdf of the Research Report).

AK:06a

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).

KSZ:08

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).

SKL:07a

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).

KS:08

M. Kocvara and M. StinglOn 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)

SKL:07b

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.)

BHKKO:08

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.

KS:11
M. Kocvara and M. Stingl. PENNON: Software for Linear and Nonlinear Matrix Inequalities. In: Handbook on Semidefinite, Conic and Polynomial Optimization, Anjos, Miguel F.; Lasserre, Jean B. (Eds.), Springer, 2012, pp. 755-794, ISBN 978-1-4614-0768-3
KS:12
M. Kocvara and M. Stingl. Solving stress constrained problems in topology and material optimization. Structural and Multidisciplinary Optimization 46(1):1-15, 2012, DOI: 10.1007/s00158-012-0762-z  (pdf of the Research Report).
ZK:15
Y. Zhao and M. Kocvara. A New Computational Method for the Sparsest Solutions to Systems of Linear Equations. SIAM Journal on Optimization 25(2):1110-1134, 2015, DOI: 10.1137/140968240.
KLT:16
M. Kocvara, D. Loghin and J. Turner. Constraint interface preconditioning for topology optimization problems. SIAM Journal on Scientific Computation 38(1):A128-A145, 2016. arXiv:1510.04568
KM:16
M. Kocvara and S. Mohammed. A first-order multigrid method for bound-constrained convex optimization. Optimization Methods and Software 31(3):622-644, 2016. DOI: 10.1080/10556788.2016.1146267. arXiv:1602.03771
KM:16b
M. Kocvara and S. Mohammed. Primal-dual interior-point multigrid method for topology optimization. SIAM Journal on Scientific Computation. 38(5):B685-B709, 2016.
K:17
M. Kocvara. Truss topology design by conic linear optimization. In: Advances and Trends in Optimization with Engineering Applications. Terlaky T., Anjos M. and Ahmed S. (eds.). SIAM, pp. 135-148, 2017.
KO:17
M. Kocvara and J.V. Outrata. Inverse truss design as a conic mathematical program with equilibrium constraints. Discrete and Continuous Dynamical Systems Series S. 10(6):1329-1350, December 2017. DOI: 10.3934/dcdss.2017071.


Proceedings:

Koc:91

 M. Kocvara. LAME --- local adaptive multigrid for 3D elasticity. In Proc. of the VI. Internat. Conf. on Mathematical Methods in Engineering, Plzen, 1991.

KO:91

 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.

BKZ:93

 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.

KO:93

 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.

KO:94b

 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.

KO:94c

 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.

KRX:94

 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.

KZ:95a

 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.

KZ:96

 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.

KO:97a

 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.

KO:97b

 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.

HK:01

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.

KZ:02

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.

KS:01

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).

KO:03b

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).

KS:08

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:08

G. 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:08

M. Stingl, M. Kocvara and G. Leugering. A new non-linear semidefinite programming algorithm with an application to multidisciplinary free material optimizationIn: K. Kunisch, G. Leugering, J. Sprekels, F. Tröltzsch (eds): Optimal control of Coupled Systems of Partial Differential Equations,  International Series of Numerical Mathematics 133pp. 275-295, Birkhäuser, 2009.

BKS:09

C. 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:09

J. 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:09

M. 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.

KLT:13

M. Kocvara, D.  Loghin and J.  Turner. A nonlinear domain decomposition technique for scalar elliptic PDEs. In: J. Erhel, M. Gander, L. Halpern, G. Pichot, T. Sassi, O. Widlund (eds): Domain Decomposition Methods in Science and Engineering XXI, pp. 869--878, Springer, 2014.


Preprints:

KZ:91

 M. Kocvara and J. Zowe. Codes for truss topology design: a numerical comparison. DFG Report 344, Mathematical Institut, University of Bayreuth, 1991.

BKZ:91

 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.

KO:93a

 M. Kocvara and J. V. Outrata. A numerical solution of two selected shape optimization problems. DFG Report 464, Mathematical Institut, University of Bayreuth, 1993.

Koc:00

 M. Kocvara. Modern Optimization Algorithms in Topology Design. Research Report 263, Institute of Applied Mathematics, University of Erlangen, 2000.

KSW:00

 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.

HKW:01

 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

HKS:03

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).

KLSH:04

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).

K:13

M. Kocvara. On robustness criteria and robust topology optimization with uncertain loads. Preprint NI13026-POP, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, July 2013. arXiv:1307.7547

FKS:13

J. Fiala, M. Kocvara and M. Stingl. PENLAB: A MATLAB solver for nonlinear semidefinite optimization. Preprint NI13056-POP, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, November 2013. arXiv:1311.5240

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Michal Kocvara
February
23, 2016