Aktuelle Veröffentlichungen
Die Preprints sind vorläufige Versionen und nicht mit den veröffentlichen Artikeln identisch.
- Referierte Veröffentlichungen in Zeitschriften
- Nicht-referierte Veröffentlichungen und Proceedings
- Schriften zur Erwerbung von akademischen Graden
- Preprints und Manuskripte
Referierte Veröffentlichungen in Zeitschriften
- Relaxation and microstructure in a model for finite crystal plasticity with one slip system in three dimensions, Discrete Contin. Dyn. Syst. Ser. S 6 (2013), 1-16 (mit S. Conti, C. Kreisbeck), doi:10.3934/dcdss.2013.6.1
- BMO and uniform estimates for multi-well problems, accepted for publication in manuscripta mathematica (2012) (mit J. Kristensen, K. Zhang), doi:10.1007/s00229-012-0531-8
- Finite element methods for director fields on flexible surfaces, Interfaces and Free Boundaries 14 (2012), 231-272 (mit S. Bartels, R. H. Nochetto, A. Raisch), doi:10.4171/IFB/281
- The div--curl lemma for sequences whose divergence and curl are compact in $W^{-1,1}$, C.R. Acad. Sci. Paris, Ser. I 349 (2011), 175--178 (mit S. Conti, S. Müller), doi:10.1016/j.crma.2010.11.013
- Asymptotic behavior of crystal plasticity with one slip system in the limit of rigid elasticity, SIAM J. Math. Anal. 43 (2011), 2337--2353 (mit S. Conti, C. Kreisbeck), doi:10.1137/100810320
- A finite element scheme for the evolution of orientational order in fluid membranes, M2AN Math. Model. Numer. Anal. 44 (2010), 1--31 (mit S. Bartels, R. H. Nochetto), doi:10.1051/m2an/2009040
- Relaxation of a class of variational models in crystal plasticity, Proc. Royal Soc. London 465 (2009), 1735--1742 (mit S. Conti, C. Klust), doi:10.1098/rspa.2008.0390
- Infinite-order laminates in a model in crystal plasticity, Proc. R. Soc. Edinburgh: Section A 139 (2009), 685-708 (mit N. Albin, S. Conti), doi:10.1017/S0308210508000127
- Gamma-convergence for incompressible elastic plates, Calculus of Variations and Partial Differential Equations 34 (2009), 531-551 (mit S. Conti), doi:10.1007/s00526-008-0194-1
- Relaxation of some transversally isotropic energies and applications to smectic A elastomers, Math. Models Methods Appl. Sci. 18 (2008), 1-20 (mit J. Adams, S. Conti, A. DeSimone), doi:10.1142/S0218202508002693
- Derivation of a plate theory for incompressible materials, C. R. Acad. Sci. Paris, Ser. I 344 (2007), 541-544 (mit S. Conti), doi:10.1016/j.crma.2007.03.013
- Existence of Lipschitz minimizers for the three-well problem in solid-solid phase transitions, Ann. Inst. H. Poincaré Anal. Non Linéaire 24 (2007), 953-962 (mit S. Conti, B. Kirchheim), doi:10.1016/j.anihpc.2006.10.002
- Sufficient conditions for the validity of the Cauchy Born rule close to SO(n), J. Eur. Math. Soc. (JEMS) 8 (2006), 515-539 (mit S. Conti, B. Kirchheim, S. Müller)
- Higher integrability of minimizing Young measures, Calc. Var. and Partial Differential Equations 22 (2005), 283-301 (mit J. Kristensen), doi:10.1007/s00526-004-0273-x
- Inhomogeneous Dirichlet conditions in a priori and a posteriori finite element error analysis, Numer. Math. 99 (2004), 1-24 (mit S. Bartels, C. Carstensen), doi:10.1007/s00211-004-0548-3
- Time-space discretization of the nonlinear hyperbolic system $u_{tt}=\div(\sigma(Du)+Du_t)$, SIAM J. Numer. Anal. 42 (2004), 75-89 (mit C. Carstensen), doi:10.1137/S0036142901393413
- An a priori error estimate for finite element discretizations in nonlinear elasticity for polyconvex materials under small loads, Numer. Math. 97 (2004), 67-80 (mit C. Carstensen), doi:10.1007/s00211-003-0481-x
- Liquid-like behaviour of shape-memory alloys, C.R. Acad. Sci. Paris, Ser. I 336 (2003), 441-446 (mit B. Kirchheim), doi:10.1016/S1631-073X(03)00082-7
- Semi-soft elasticity and director reorientation in stretched sheets of nematic elastomers, Phys. Rev. E 66 (2002), \#061710 (8 pages) (mit S. Conti, A. DeSimone), doi:10.1103/PhysRevE.66.061710
- Soft elastic response of stretched sheets of nematic elastomers: a numerical study, J. Mech. Phys. Solids 50 (2002), 1431-1451 (mit S. Conti, A. DeSimone), doi:10.1016/S0022-5096(01)00120-X
- Macroscopic response of nematic elastomers via relaxation of a class of SO(3)-invariant energies, Arch. Rational Mech. Anal. 161 (2002), 181-204 (mit A. DeSimone), doi:10.1007/s002050100174
- Relaxation of some multi-well problems, Proc. R. Soc. Edinburgh: Section A 131 (2001), 279-320 (mit K. Bhattacharya), doi:10.1017/S0308210500000883
- Locking-free adaptive mixed finite element methods in linear elasticity, Comput. Methods in Appl. Mech. and Engrg 190, no. 13-14 (2000), 1701-1718 (mit C. Carstensen, S.A. Funken, D.S. Helm), doi:10.1016/S0045-7825(00)00185-7
- Uniqueness and maximal regularity for nonlinear elliptic systems of n-Laplace type with measure valued right hand side, J. reine und angew. Math 520 (2000), 1-35 (mit N. Hungerbühler, S. Müller), doi:10.1515/crll.2000.022
- The two-well problem in three dimensions, Calc. Var. and PDE 10 (2000), 21-40 (mit B. Kirchheim, S. Müller, V. Šverák), doi:10.1007/PL00013455
- Estimates for numerical approximations of rank-one convex envelopes, Numer. Math. 85 (2000), 647-663 (mit N. J. Walkington), doi:10.1007/PL00005395
- Relaxed constitutive relations for phase transforming materials, J. Mech. Phys. Solids 48 (2000), 1493-1517 (mit K. Bhattacharya), doi:10.1016/S0022-5096(99)00093-9
- Material instabilities in nematic elastomers, Physica D 136 (2000), 175-191 (mit A. DeSimone), doi:10.1016/S0167-2789(99)00153-0
- Conditions for equality of hulls in the calculus of variations, Arch. Rational Mech. Anal. 154 (2000), 93-100 (mit B. Kirchheim, J. Kristensen), doi:10.1007/s002050000098
- Optimal convergence for the finite element method in Campanato spaces, Math. Comp. 68 (1999), 1397-1427, doi:10.1090/S0025-5718-99-01175-8
- Numerical computation of rank-one convex envelopes, SIAM J. Numer. Anal. 36 (1999), 1621-1635, doi:10.1137/S0036142997325581
- Existence of minimizers for a variational problem in 2-D nonlinear magnetoelasticity, Arch. Rational Mech. Anal. 144 (2) (1998), 107-120 (mit A. DeSimone), doi:10.1007/s002050050114
- A posteriori error estimates for mixed finite element methods in elasticity, Numer. Math. 81 (2) (1998), 187-209 (mit C. Carstensen), doi:10.1007/s002110050389
- Implicit time discretization and global existence for a quasi-linear evolution equation with nonconvex energy, SIAM J. Math. Anal. 28 (1997), 363-380 (mit G. Friesecke), doi:10.1137/S0036141095285958
- The p-harmonic system with measure valued right hand side, Ann. Inst. H. Poincaré Anal. Non Linéaire 14 (3) (1997), 353-364 (mit N. Hungerbühler, S. Müller), doi:10.1016/S0294-1449(97)80141-2
- Nonlinear elliptic systems with measure-valued right hand side, Math. Z. 226 (1997), 545-574 (mit N. Hungerbühler, S. Müller), doi:10.1007/PL00004354
- Microstructures with finite surface energy: the two-well problem, Arch. Rational Mech. Anal. 132 (1995), 101-141 (mit S. Müller), doi:10.1007/BF00380505
- Estimates for Green's matrices of elliptic systems, Manuscripta Math. 88 (1995), 261-273 (mit S. Müller), doi:10.1007/BF02567822
- Equality of two representations of extended affine surface area, Arch. Math. 65 (1995), 352-356 (mit D. Hug), doi:10.1007/BF01195547
Nicht-referierte Veröffentlichungen und Proceedings
- Regularity of minimizers in nonlinear elasticity -- the case of a one-well problem in nonlinear elasticity, Technische Mechanik 32 (2012), 189-194
- Geometrically nonlinear models in crystal plasticity and the limit of rigid elasticity, PAMM Proc. Appl. Math. Mech. (2010) (mit S. Conti, C. Kreisbeck), doi:10.1002/pamm.201010002
- A fully discrete scheme for the computation of microstructures in solids, Oberwolfach Reports 29 (2009), 1611-1613 (mit S. Conti)
- Application of relaxation methods in materials science: from the macroscopic response of elastomers to crystal plasticity, in: Variational concepts with application to the mechancis of materials, IUTAM Proceedings, Springer (2009)
- Analysis and numerical simulation of the evolution of patterns in the gel phase of lipid membranes, Oberwolfach Reports 41 (2008), 2318-2321 (mit S. Bartels, R. H. Nochetto)
- Derivation of elastic theories for thin sheets and the constraint of incompressibility, in: Analysis, Modeling and Simulation of Multiscale Problems, A. Mielke (Ed), Springer (2006), 225-247 (mit S. Conti), doi:10.1007/3-540-35657-6_9
- Variational techniques for microstructure, in: Encyclopedia of Mathematical Physics, J. P. Françoise, G. Naber, S. T. Tsou (Eds.), Elsevier (2006), 363-368, doi:10.1016/B0-12-512666-2/00492-2
- Incompressible plates, Oberwolfach Reports 44 (2006), 2678-2681 (mit S. Conti)
- Challenges in the computation of rank-one convex envelopes, Oberwolfach Reports 52 (2005), 2678-2681 (mit S. Conti)
- Stripe-domains in nematic elastomers: old and new, IMA Volumes in Mathematics and its Applications, M. C. Calderer, E. M. Terentjev (Eds) 141 (2005), 189-204 (mit A. DeSimone)
- Multiscale Modeling of Materials - the Role of Analysis, in: Trends in Nonlinear Analysis, M.~Kirkilionis, S.~Krömke, R.~Rannacher, F.~Tomi (Eds) (2002), 375-408 (mit S. Conti, A. DeSimone, S. Müller, F. Otto)
- Bounds on the effective energy by rank-one convexification, in Enumath 97, H.~G. Bock, F. Brezzi, R. Glowinski, G. Kanschat, Y~.A.~Kuznetsov, J. Périaux, R. Rannacher (Eds) (1998), 270-277 (mit N. J. Walkington)
- Crystalline microstructures with finite surface energy, ZAMM, Z. Angew. Math. Mech. 78, Suppl. 3 (1998), S899-S900
- The influence of surface energy on stress-free microstructures in shape memory alloys, Meccanica 30 (1995), 527-539 (mit S. Müller), doi:10.1007/BF01557083
- Optimale asymptotische Konvergenz linearer finiter Elemente bei elliptischen Problemen mit Campanato--Abschätzungen, in: Extrapolation and defect correction. Tagungsband zu einem GAMM-Seminar 1990, Bonner Math. Schriften 228 (1991), 95-120 (mit J. Frehse)
Schriften zur Erwerbung von akademischen Graden
- Diskrete $L^p$-Abschätzungen für Differenzenverfahren und finite Elemente, Diplomarbeit, Bonn (1989)
- Campanato-Ungleichungen für Differenzenverfahren und finite Elemente, Dissertationsschrift, Bonn (1992)
- Variational methods for crystalline microstructure - analysis and computation, Habilitationsschrift, Leipzig (2000)
Preprints und Manuskripte
- Microstructure and effective behaivor of materials, submitted to ZAMM (2012)
- Korn's second inequality and geometric rigidity with mixed growth conditions (2012) (mit S. Conti, S. Müller)
- Relaxation of a model in finite plasticity with two slip systems, submitted to Math. Models Methods Appl. Sci. (2011) (mit S. Conti, C. Kreisbeck)