LIST OF PUBLICTIONS

Lori Badea

Journal and Proceedings Articles

• L. Badea, Remarks concerning the convergence of the Jacobi and Gauss-Seidel iterative processes, Rev. Roum. Math. Pures Appl., no. 8, 1980, pp. 1153-1165.
• L. Badea, On the convergence of the Gauss-Seidel iteration for systems of linear algebraic equations with partitioned matrices, Rev. Roum. Sci. Techn., series of Mech. Appl., no. 4, 1986, pp. 453-465.
• L. Badea, A generalization of the Schwarz alternating method to an arbitrary number of subdomains, Numer. Math., 55, 1989, pp. 61-81.
• L. Badea, On the Schwarz alternating method with more then two subdomains for nonlinear monotone problems, SIAM J. Numer. Anal., vol. 28, no. 1, February 1991, pp. 179-204.
• L. Badea, On a domain decomposition method for parallel computing in elasto-plasticity, in Numerical Methods in Engineering, Ch. Hirsh, O. C. Zienkiewicz, E. Onate (Editors), Elsevier, Sci. Publ., 1992, pp. 321-328.
• L. Badea and P. Gilormini, Application of a Domain Decomposition Method to Elasto-plastic Problems, Int. J. Solids Structures, Vol. 31, No. 5, 1994, pp. 643-656.
• L. Badea and E. Soós, Damage and buckling in elasto-plastic bars, Proccedings of The XVIIth Conference in Mechanics of Solids, vol. 1, 9-11 June 1994, Constanta, Romania, pp. 131-138.
• L. Badea, Finite element solution for a seepage flow problem through a non-homogeneous multiply-connected dam, Proccedings of The 5th International Conference on Finite Elements and thier Applications, 27-29 April 1995, Constanta, Romania, pp. 41-50.
• L. Badea and M. Predeleanu, On the dynamical cavitation problem in viscoplastic solids, Mechanics Research Communications, vol. 23, no. 5, 1996, pp. 461-474.
• L. Badea, On a plasticity problem with damage, Rev. Roum. Math Pures et Appl., 42, 7-8, 1997, pp. 495-511.
• L. Badea and E. Soós, A new theory of the stored energy in the elasto-plasticity and the torsion test, Eur. J. Mech., A/Solids, 16, 3, 1997, pp. 467-500.
• L. Badea and M. Predeleanu, On the dynamic cavitation in solids, in Advanced Methods in Materials Processing Defects, M. Predeleanu and P. Gilormini (Editors), Elsevier, 1997, pp. 3-13.
• L. Badea and J. Wang, The Schwarz method for variational inequalities with applications, in Iterative Methods in Scientific Computation, vol. 4 of Series in Computational and Applied Mathematics, J. Wang, M. Allen, B. Chen and T. Mathew (Editors), 1998, pp. 199-204.
• L. Badea, R. E. Ewing and J. Wang, A study of free boundary problems of fluid flow in porous media by mixed methods, in Free boundary problems: theory and applications, I. Athanasopoulos, et al., eds, CRC Research Notes in Mathematics, 409, Chapman & Hall, New York, 1999, pp. 3-13.
• A. Miroux, L. Badea, D. Arizmendi, B. Bacroix and J. L. Raphanel, The influence of grain orientation on the stored energy during cold rolling of steels - Experimental evidence and finite element simulation, Archives of Metallurgy, vol. 44, 1999, pp. 241-252.
• L. Badea and J. Wang, A new formulation for the valuation of American options, I: Solution uniqueness, in Analysis and Scientific Computing, Eun-Jae Park and Jongwoo Lee (Eds.), Proceedings of the 19th Daewoo Workshop in Pure Mathematics, Volume 19, Part II, 1999, pp. 3-16.
• L. Badea and J. Wang, A new formulation for the valuation of American options, II: Solution existence, in Analysis and Scientific Computing, Eun-Jae Park and Jongwoo Lee (Eds.), Proceedings of the 19th Daewoo Workshop in Pure Mathematics, Volume 19, Part II, 1999, pp. 17-33.
• L. Badea and J. Wang, An Additive Schwarz method for variational inequalities, Math. of Comp., 69, 232, 2000, pp. 1341-1354.
• L. Badea, Adaptive mesh finite element method for the sedimentary basin problem, Rev. Roum. Math. Pures Appl., tome 45, no. 2, 2000, pp. 171-181.
• L. Badea and P. Daripa, On a boundary control approach to embedding domain method, SIAM J. on Control and Optimization, Vol. 40, No. 2, 2001, pp. 421-449.
• L. Badea and P. Daripa, A fast algorithm for two-dimensional elliptic problems, Numerical Algorithms, 30, 2002, pp. 199-239.
• L. Badea and P. Daripa, On a Fourier method of embedding domains using an optimal distributed control, Numerical Algorithms, 32, 2003, pp. 261-273.
• L. Badea and P. Daripa, A Domain Embedding/Boundary Control Method to Solve Elliptic Problems in Arbitrary Domains, in Proceedings of the 41st IEEE Conference on Decision and Control, December 2002, pp. 3004-3009.
• L. Badea, X.-C. Tai and J. Wang, Convergence rate analysis of a multiplicative Schwarz method for variational inequalities, SIAM J. Numer. Anal, vol. 41, nr. 3, 2003, pp. 1052-1073.
• L. Badea, Convergence rate of a multiplicative Schwarz method for strongly nonlinear variational inequalities, in Analysis and Optimization of Differential Systems, V.Barbu, I. Lasiecka, D. Tiba and C. Varsan, Eds, Kluwer Academic Publishers, 2003, pp. 31-42.PS file
• L. Badea, On a multiplicative Schwarz domain decomposition method for variational inequalities, in L. Badea, C. Faciu, L. Gratie, M. Mihailescu-Suliciu, D. Polisevski and N. Simion, Current Topics in Continuum Mechanics, vol. II, Lazar Dragos, Ed., Editura Academiei, Bucharest, 2003, pp. 11-40.
• L. Badea, On the Schwarz-Neumann method with an arbitrary number of domains, IMA J. Numer. Anal., 24, 2004, pp. 215-238.
• L. Badea and P. Daripa, A domain embedding method using the optimal distributed control and a fast algorithm, Numerical Algorithms, 36, 2004, pp. 95-112.
• R. Brenner, O. Castelnau and L. Badea, Mechanical field fluctuations in polycrystals estimated by homogenization techniques, Proc. R. Soc. A , 460, 2004, pp. 3589-3612.
• L. Badea, I. Ionescu and S. Wolf, Domain decomposition method for dynamic faulting under slip-dependent friction,J. of Comptational Physiscs201, 2004, pp. 487-510.
• L. Badea, I. R. Ionescu and S. Wolf, Schwarz decomposition method in capturing dynamic friction instabilities, in P. Neittaanmaki, T. Rossi, S. Korotov, E. Onate, J. Périaux and D. Knorzer (eds.), Proceedings of the 4th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS, 2004.
• L. Badea, On the valuation of American options, Annals of University of Craiova, Mathematics and Computer Science series, vol. 31(2), 2004, pp. 91-97.
• L. Badea, Multilevel Schwarz method for the minimization with constraints of non-quadratic functionals, An. St. Univ. Ovidius Constanta, vol. 12(2), 2004, pp. 51-64.
• L. Badea, One and two-level multiplicative Schwarz methods for the constrained minimization of non-quadratic convex functionals, in M. Mihailescu-Suliciu (ed.), New trends in continuum mechanics, Conference Proceedings, September 8-12, 2003, Constanta, Romania, Theta Publisher, Bucharest, 2005, pp. 1-12.
• L. Badea, Domain decomposition method for fixed-point problems, Analele Universitatii Bucuresti, Seria Matematica, vol. 1, 2006, pp. 5-16.
• L. Badea, Convergence rate of a Schwarz multilevel method for the constrained minimization of non-quadratic functionals, SIAM J. Numer. Anal., vol. 44, no. 2, 2006, pp. 449-477.PDF file
• L. Badea, Additive Schwarz method for the constrained minimization of functionals in reflexive Banach spaces, in U. Langer et al. (eds.), Domain decomposition methods in science and engineering XVII, LNSE 60, Springer, 2008, p. 427-434.PDF file
• L. Badea, Schwarz methods for inequalities with contration operators, Journal of Computational and Applied Mathematics, 215, 1, 2008, pp. 196-219 (doi:10.1016/j.cam.2007.04.004).
• L. Badea, I. Ionescu and S. Wolf, Schwarz method for earthquake source dynamics, J. of Comptational Physiscs, 227, 8, 2008, pp. 3824-3848 (doi:10.1016/j.jcp.2007.11.044).
• L. Badea, One- and Two-Level Domain Decomposition Methods for Nonlinear Problems, in B.H.V. Topping, P. Iványi, (Eds.), Proceedings of the First International Conference on Parallel, Distributed and Grid Computing for Engineering, Civil-Comp Press, Stirlingshire, UK, Paper 6, 2009. (doi:10.4203/ccp.90.6)
• L. Badea, M. Discacciati and A. Quarteroni, Numerical analysis of the Navier-Stokes/Darcy coupling, Numer. Math., 115, 2, 2010, pp. 195-227. (doi:10.1007/s00211-009-0279-6)
• L. Badea, Multigrid methods with constraint level decomposition for variational inequalities, Annals of the A. R. S., Series on Mathematics and its Applications, 3, 2, 2011, pp. 300–331.
• L. Badea and R. Krause, One- and two-level Schwarz methods for inequalities of the second kind and their application to frictional contact, Numer. Math., 120, 4, 2012, pp. 573-599 (doi 10.1007/s00211-011-0423-y).
• L. Badea, Multigrid methods for some quasi-variational inequalities, Discrete and Continuous Dynamical Systems - Series S, 6, 6, 2013, pp. 1457–1471.
• L. Badea and M. Cocou, Approximation results and subspace correction algorithms for implicit variational inequalities, Discrete and Continuous Dynamical Systems - Series S, 6, 6, 2013, pp. 1507–1524.
• L. Badea, Global convergence rate of a standard multigrid method for variational inequalities, IMA J. Numer. Anal., 34, 2014, pp. 197-216 (doi:10.1093/imanum/drs054).
• S. Wolf, L. Badea and I. R. Ionescu, Chapter 2: Schwarz method for contact dynamics, in F. Magoulès (ed.), Schwarz Algorithms and Domain Decomposition Methods, Saxe-Coburg Publications, Stirlingshire, Scotland, in press, 2013.
• L.Badea and M. Cocou, Internal and subspace correction approximations of implicit variational inequalities, Mathematics and Mechanics of Solids, 20, 9, 2015, pp. 1026-1048 (DOI: 10.1177/1081286513514075, 2013).
• L. Badea, Globally convergent multigrid method for variational inequalities witha nonlinear term, in Proceedings of the 22nd International Conference on Domain Decomposition Methods, September 16-20, 2013, Universita della Svizzera italiana, Lugano, Switzerland, in press, 2014.
• L. Badea, Convergence rate of some hybrid multigrid methods for variational inequalities, Journal of Numerical Mathematics, 23, 3, 2015, pp. 195-210.
• L. Badea, Two-level methods with optimal computing complexity for variational inequalities of the second kind, Annals of the University of Bucharest (mathematical series), 5 (LXIII), 2014, pp. 195-218.
• L. Badea and F. Lebon, Schwarz method for dual contact problems, Comp. Appl. Math., online July, 2015 (DOI 10.1007/s40314-015-0255-y).

Books

• L. Badea, C. Faciu, L. Gratie, M. Mihailescu-Suliciu, D. Polisevski and N. Simion, Current Topics in Continuum Mechanics, vol. II, (Lazar Dragos, Editor) Editura Academiei, Bucharest, 2003.
• Gh. Marinescu, L. Badea, G. Grigore, C. Jambor, P. Mazilu, I. Rizzoli, C. Stefan, Probleme de Analiza Numerica (Problems of Numerical Analysis), Editura Didactica si Pedagogica, Bucuresti, 1978.

PhD Thesis

• L. Badea, Sur le calcul parallèle en élasto-plasticité par la méthode de décompositiondes domaines de Schwarz, Ph.D. Thesis, Paris 6 University, Paris, France, 1992.

Preprints

• L. Badea, On the convergence of the Gauss-Seidel iteration for systems of linear algebraic equations with partitioned matrices, INCREST, Preprint series in mathematics, no. 27/1984.
• L. Badea, On the Schwarz alternating method with more then two subdomains for nonlinear monotone problems, INCREST, Preprint series in mathematics, no. 27/1989.
• L. Badea, On a plasticity problem with damage, Preprint series of the Institute of Mathematics of the Romanian Academy, no. 33/1994.
• L. Badea and E. Soós, A new theory of the stored energy in the elasto-plasticity and the torsion test, Preprint series of the Institute of Mathematics of the Romanian Academy, no. 28/1995.
• L. Badea, On the Schwarz-Neumann method with an arbitrary number of domains, Preprint series of the Institute of Mathematics of the Romanian Academy, no. 24/1998.
• L. Badea, Domain decomposition Schwarz method for strongly nonlinear inequalities, Preprint series of the Institute of Mathematics of the Romanian Academy, nr. 6, 2002.
• L. Badea, I. Ionescu and S. Wolf, Domain decomposition method for dynamic faulting under slip-dependent friction, Preprint nr. 03-11c, Laboratoire de Mathématiques, Université de Savoie, France, 2003.
• L. Badea, I. Ionescu and S. Wolf, Schwarz method for earthquake source dynamics, Preprint nr. 06-12b, Laboratoire de Mathématiques, Université de Savoie, France, 2006.
• L. Badea, M. Discacciati and A. Quarteroni, Mathematical analysis of the Navier-Stokes and Darcy coupling, Technical Report of Politecnico di Milano, Milan, 2006.
• L. Badea, Schwarz methods for inequalities with contration operators, Preprint series of the Institute of Mathematics of the Romanian Academy, no. 1/2007.
• L. Badea and R. Krause, One- and two-level multiplicative Schwarz methods for variational and quasi-variational inequalities of the second kind: Part I - general convergence results, INS Preprint, no. 0804, Institute for Numerical Simulation, University of Bonn, June 2008.
• L. Badea and R. Krause, One- and two-level multiplicative Schwarz methods for variational and quasi-variational inequalities of the second kind: Part II - frictional contact problems, INS Preprint, no. 0805, Institute for Numerical Simulation, University of Bonn, June 2008.
• L. Badea, M. Discacciati and A. Quarteroni, Mathematical analysis of the Navier-Stokes and Darcy coupling, Technical Report of Ecole Polytechnique Fédérale de Lausanne, Lausane, 2008.
• L. Badea, Multigrid methods for variational inequalities, Preprint series of the Institute of Mathematics of the Romanian Academy, nr.1, 2010.PDF file
• L. Badea, Multigrid methods with constraint level decomposition for variational inequalities , Preprint series of the Institute of Mathematics of the Romanian Academy, nr. 3, 2010.PDF file
• L. Badea, One- and two-level additive methods for variational and quasi-variational inequalities of the second kind, Preprint series of the Institute of Mathematics of the Romanian Academy, nr. 5, 2010.PDF file
• L. Badea and M. Cocou, Approximation results and subspace correction algorithms for implicit variational inequalities, Preprint HAL Id: hal-00949611, 2014, https://hal.archives-ouvertes.fr/hal-00949611.
• L.Badea and M. Cocou, Internal and subspace correction approximations of implicit variational inequalities, Preprint HAL Id: hal-00949613, 2014,https://hal.archives-ouvertes.fr/hal-00949613.

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Last update: November 2015

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