W

Dr. Mirjam Walloth

Numerik

Kontakt

work +49 6151 16-23166
fax +49 6151 16-23164

Work S4|10 112a
Dolivostraße 15
64293 Darmstadt

Links

Forschungsinteressen

  • Effiziente und zuverlässige residuenbasierte Fehlerschätzer für Variationsungleichungen
  • Adaptive numerische Simulation mit FEM und DG in der Kontinuumsmechanik
    • elastische Kontaktprobleme
    • viskoelastische Kontaktprobleme
    • dynamische Kontaktprobleme
    • reibungsbehaftete Kontaktprobleme
    • Phasenfeldmodelle der Rissausbreitung
  • Zeitdiskretisierungen für dynamische (reibungsbehaftete) Kontaktprobleme
Seshadri Basava, Katrin Mang, Mirjam Walloth, Thomas Wick, Winnifried Wollner
Adaptive and Pressure-Robust Discretization of Incompressible Pressure-Driven Phase-Field Fracture
Preprint arXiv:2006.16566
Mirjam Walloth
Residual-type A Posteriori Estimators for a Singularly Perturbed Reaction-Diffusion Variational Inequality -- Reliability, Efficiency and Robustness.
Preprint, Fachbereich Mathematik, TU Darmstadt, 2018, arXiv:1812.01957
J. Schröder, T. Wick, S. Reese, P. Wriggers, R. Müller, S. Kollmannsberger, M. Kästner, A. Schwarz, M. Igelbüscher, N. Viebahn, H. R. Bayat, S. Wulfinghoff, K. Mang, E. Rank, T. Bog, D. d'Angella, M. Elhaddad, P. Hennig, A. Düster, W. Garhuom, S. Hubrich, M. Walloth, W. Wollner, Ch. Kuhn, T. Heister;
A selection of benchmark problems in solid mechanics and applied mathematics,
Archives of Computational Methods in Engineering (ARCO), 2020.
Katrin Mang, Mirjam Walloth, Thomas Wick, Winnifried Wollner
Mesh adaptivity for quasi-static phase-field fractures based on a residual-type a posteriori error estimator
GAMM-Mitteilungen, DOI: 10.1002/gamm.202000003, 2019.
Mirjam Walloth
Residual-type a posteriori error estimator for a quasi-static Signorini contact problem
IMA Journal of Numerical Analysis, DOI:10.1093/imanum/drz023, 2019.
Mirjam Walloth
A reliable, efficient and localized error estimator for a discontinuous Galerkin method for the Signorini problem.
Applied Numerical Mathematics, 135:276-296, 2019. (Preprint)
Rolf Krause, Andreas Veeser, Mirjam Walloth.
An efficient and reliable residual-type a posteriori error estimator for the Signorini problem.
Numerische Mathematik, 130:151-197, 2015.
Rolf Krause, Mirjam Walloth.
Presentation and comparison of selected algorithms for dynamic contact based on the Newmark scheme.
Applied Numerical Mathematics, 62:1393--1410, 2012.
Rolf Krause, Mirjam Walloth.
A family of space-time connecting discretization schemes for dynamic contact based on the Newmark scheme.
Computer Methods in Applied Mechanics and Engineering, 200 (47-48):3425--3438, 2011.
Rolf Krause, Mirjam Walloth.
A time discretization scheme based on Rothe's method for dynamical contact problems.
Computer Methods in Applied Mechanics and Engineering, 199 (1--4):1--19, 2009.
Katrin Mang, Mirjam Walloth, Thomas Wick, Winnifried Wollner.
Adaptive Numerical Simulation of a Phase-field Fracture Model in Mixed Form tested on an L-shaped Specimen with High Poisson Ratios,
ENUMATH proceedings, accepted April 2020, arXiv:2003.09459
Mirjam Walloth.
Residual-type a posteriori estimator for a viscoelastic contact problem with velocity constraints.
In Proceedings in Applied Mathematics and Mechanics, 2018.
Mirjam Walloth.
Localized and efficient estimators for obstacle problems in the context of standard residual estimators.
In Proceedings in Applied Mathematics and Mechanics 17:767-768, 2017.
Mirjam Walloth, Rolf Krause.
Adaptive numerical simulation of dynamic contact problems.
In Numerical Mathematics and Advanced Applications – ENUMATH 2013
Lecture Notes in Computational Science and Engineering Volume 130, 273-281, Springer, Berlin 2015.
Christian Groß, Rolf Krause, Mirjam Walloth.
Nonlinear decomposition methods in elastodynamics.
In Numerical Mathematics and Advanced Applications – ENUMATH 2009, 407--415, Springer, Berlin 2010.
Current Trends and Open Problems in Computational Solid Mechanics
Leibniz Universität Hannover, Oct 8-9, 2018
„Heute Mathe, morgen?“
berufspraktisches Kolloquium am Fachbereich Mathematik der TU Darmstadt
Vorlesung; Numerik für Variationsungleichungen (SoSe 2020)
Tutorium zur Vorlesung: Numerik partieller Differentialgleichungen (WiSe 2019/20)
Assistenz + Vorlesungsvertretung zur Veranstaltung Mathe IV Maschinenbau (SoSe 2017)
Assistenz zur Veranstaltung Einführung in die Numerik (WiSe 2016/17)
Assistenz zur Veranstaltung Mathe IV Maschinenbau (SoSe 2016)
Assistenz + Vorlesungsvertretung zur Veranstaltung Einführung in die Numerik (WiSe 2015/16)
Assistenz zur Veranstaltung Discontinuous Galerkin Methods (SoSe 2015)
Assistenz zur Veranstaltung Mathe III Maschinenbau (WiSe 2014/15)
Assistenz zur Veranstaltung Mathe IV Maschinenbau (SoSe 2014)
Assistenz zur Veranstaltung Mathe III Maschinenbau (WiSe 2013/14)
Assistenz zur Veranstaltung Mathe für Chemiker (WiSe 2013/14)

Conference talks
Adaptive discretization methods for the numerical simulation of static and time-dependent contact problems
European Conference on Numerical Mathematics and Advanced Applications (ENUMATH 2019),
Egmond aan Zee, The Netherlands, September 30 -- October 4, 2019.
A residual-type a posteriori estimator for the adaptive discretization in space and time of a viscoelastic contact problem
8th GACM Colloquium on Computational Mechanics (GACM),
Kassel, August 28--30, 2019.
A posteriori estimators for the adaptive solution of quasi-static fracture phase-field models
Modern Finite Element Technologies Mathematical and Mechanical Aspects (MFET 2019),
Bad Honnef, July 1--3, 2019.
Residual-type a posteriori estimators for the singularly perturbed variational inequality in quasi-static fracture phase-field models
MAFELAP 2019, Brunel University London, June 18--21,2019.
A posteriori estimator for the adaptive solution of a quasi-static fracture phase-field model.
90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM),
Wien, February 18--22,2019.
Reliable, efficient and robust a posteriori estimators for the variational inequality in fracture phase-field models.
Jahrestreffen des SPP1748, Dresden, September 13--14, 2018.
A posteriori error estimation in space and time for contact problems in linear viscoelasticity.
89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM),
München, Germany, March 19--23, 2018.
Adaptive finite elements for contact problems based on efficient and reliable-type a posteriori estimators.
7th GACM Colloquium on Computational Mechanics, Stuttgart, October 11--13, 2017.
Residual-type a posteriori estimators for continuous and discontinuous Galerkin methods for Signorini problems.
Rhein-Main Arbeitskreis, Mannheim, July 07, 2017.
A reliable, efficient and localized error estimator for a discontinuous Galerkin method for the Signorini problem.
88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM),
Weimar, Germany, March 06--10, 2017.
Adaptive finite element discretization methods for the numerical simulation of static and dynamic contact.
IV. International Conference on Computational Contact Mechanics,
Hannover, Germany, May 27--29, 2015.
Residual-type a posteriori error estimators for Signorini problems.
85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM),
Erlangen, Germany, March 10--14, 2014.
An efficient and reliable residual-type a posteriori error estimator for the Signorini problem.
European Numerical Mathematics and Advanced Applications (ENUMATH) 2013,
Lausanne, Switzerland, August 26--30, 2013.
Adaptive numerical simulation of contact problems. Resolving local effects at the contact boundary in space and time.
6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS),
Vienna, Austria, September 10--14, 2012.
Space-time connecting discretization scheme with local impact detection for elastodynamic contact.
82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Graz, Austria, April 18--21, 2011.
Numerical Simulation of Dynamic Contact Problems -- Conserving Structure and Accuracy.
8th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM),
Rhodos, Greece, September 19--25, 2010.
Efficient and Robust Solution Method based on Rothe's Method for Dynamical Two-Body Contact problems with Friction.
9th European MultiGrid Conference (EMG), Bad Herrenalb, Germany, October 20--24, 2008.

Invited talks
Reliable, efficient and robust a posteriori estimators for the variational inequality in fracture phase-field models
Weierstrass Institut, Berlin, Germany, May 14, 2019.
Residual-type a posteriori estimator for a quasi-static contact problem.
Mathematisches Institut, Universität Freiburg, Germany, January 23, 2018.
Adaptive numerical simulation of contact problems. Resolving local effects at the contact boundary in space and time.
2nd ECCOMAS Young Investigators Conference, Bordeaux, France, September 02--06, 2013.
Adaptive numerical simulation of contact problems. Resolving local effects at the contact boundary in space and time.
TU Darmstadt, Numerik und Wissenschaftliches Rechnen, Darmstadt, Germany, April 10, 2013.
Adaptive numerical simulation of contact problems. Resolving local effects at the contact boundary in space and time.
Università degli Studi di Milano, Dipartimento di Matematica, Milan, Italy, September 26, 2012.
Adaptive numerical simulation of contact problems. Resolving local effects at the contact boundary in space and time.
Fraunhofer Institut für Techno- und Wirtschaftsmathematik (ITWM), Kaiserslautern, Germany, May 31, 2012.
Adaptive numerical simulation of contact problems. Resolving local effects at the contact boundary in space and time.
Matheon Workshop „Computational Biomechanics“, Berlin, Germany, February 27--28, 2012.