Corinna Klapproth Zuse
[1] R. A. Adams and J. J. F. Fournier. Sobolev Spaces,volume 140 of Pure and Applied Mathematics. Else-vier, Oxford Amsterdam, 2nd edition, 2003. [2] P. Deuflhard, R. Krause, and S. Ertel. A contact-stabilized Newmark method for dynamical contactproblems. Internat. J. Numer. Methods Engrg.,73(9):1274–1290, 2007. [3] P. Deuflhard and M. Weiser. Numerische Mathematik3: Adaptive L¨osung partieller Differentialgleichun-gen. de Gruyter Lehrbuch. Walter de Gruyter, Berlin,2011. [4] C. Gr¨aser and R. Kornhuber. Multigrid methods forobstacle problems. J. Comp. Math., 27(1):1–44,2009. [5] W. C. Hayes and L. F. Mockros. Viscoelastic prop-erties of human articular cartilage. J. Appl. Physiol.,31(4):562–568, 1971. [6] N. Kikuchi and J. T. Oden. Contact Problems in Elas-ticity. SIAM Studies in Applied Mathematics. Societyfor Industrial and Applied Mathematics, Philadelphia,1988. [7] C. Klapproth. Adaptive numerical integration for dy-namical contact problems. PhD thesis, Freie Univer-sit¨at Berlin, 2011. [8] C. Klapproth, P. Deuflhard, and A. Schiela. A pertur-bation result for dynamical contact problems. Numer.Math. Theor. Meth. Appl., 2(3):237–257, 2009. [9] C. Klapproth, A. Schiela, and P. Deuflhard. Con-sistency results on Newmark methods for dynamicalcontact problems. Numer. Math., 116(1):65–94,2010. [10] C. Klapproth, A. Schiela, and P. Deuflhard. Adaptivetimestep control for the contact-stabilized Newmarkmethod. Numer. Math., 119(1):49–81, 2011. [11] R. Kornhuber. Adaptive Monotone Multigrid Methodsfor Nonlinear Variational Problems. B. G. Teubner,Stuttgart, 1997. [12] R. Kornhuber and R. Krause. Adaptive multigridmethods for Signorini’s problem in linear elasticity.Comput. Vis. Sci., 4(1):9–20, 2001. [13] O. Sander. Multidimensional Coupling in aHuman Knee Model. PhD thesis, Freie Uni-versit¨at Berlin, 2008. http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000006010. [14] B. Wohlmuth. A mortar finite element method usingdual spaces for the Lagrange multiplier. SIAM J. Nu-mer. Anal., 38(3):989–1012, 2000. [15] B. Wohlmuth and R. Krause. Monotone methodson nonmatching grids for nonlinear contact problems.SIAM J. Sci. Comput., 25(1):324–347, 2003. [16] J. W. Youett. An introduction to mortar techniqueswith applications in biomechanics. Bachelor’s thesis,Freie Universit¨at Berlin, 2009.699
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