Dr. Mirjam Walloth

Technische Universität Darmstadt
Fachbereich Mathematik
AG Numerik und Wissenschaftliches Rechnen
Dolivostr. 15
64293 Darmstadt

Raum: S4|10 103
E-Mail: wallothmathematik.tu-darmstadt.de
Tel: +49 (0)6151 16-23162
Fax: +49 (0)6151 16-23164

Research interests

Numerical simulation of static and dynamic contact problems
Elastic and viscoelastic contact problems with and without friction
Adaptive discretization in space with FEM and DG
Residual-type a posteriori error estimators
Time discretization schemes for (frictional) contact problems

Preprints

Mirjam Walloth
A reliable, efficient and localized error estimator for a discontinuous Galerkin method for the Signorini problem.
Preprint 2713, Fachbereich Mathematik, TU Darmstadt, 2016

Peer-reviewed articles

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.

Peer-reviewed contributions to conference proceedings

Mirjam Walloth.
Localized and efficient estimators for obstacle problems in the context of standard residual estimators.
accepted for publication
In Proceedings in Applied Mathematics and Mechanics, 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.

Talks

Conference talks

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

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.

 

 

 

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