
research project C33
modeling and simulation of composite materials
people  description  publications  outreach
people
head: Daniel Peterseim
researcher: Karoline Köhler
descriptionComposite materials are engineered materials made from two or more
constituent materials with significantly different physical properties.
In a typical configuration, (hard) filler particles are surrounded by a
matrix of a second material which binds the filler particles together.
Because the characteristics and relative volumes of both the matrix
material and the various filler particles can be manipulated, these
materials show an almost infinite range of physical properties. The aim
of this project is to develop efficient numerical methods for the
simulation of material responses. In addition, the analysis of the
corresponding discrete models shall lead to a better understanding of
how composites behave and how certain properties depend on the
controllable variables. Both simulation and analysis provide the opportunity to develop materials with enhanced performance for the
particular industrial applications.
publicationssubmitted
peerreviewed journal articles
 Composite Finite Elements for Elliptic Interface Problems
D. Peterseim
accepted, Math. Comp. 2013
 Finite Element Network Analysis of Conductivity in Particle Composites
C. Carstensen and D. Peterseim
Numerische Mathematik, 2012
 Optimal Nonconforming FEM for the Stokes Problem
C. Carstensen, D. Peterseim and H. Rabus
Numerische Mathematik (online first), 2012
 Comparison Results of Three Firstorder Finite Element Methods for the Poisson Model Problem
C. Carstensen, D. Peterseim and M. Schedensack
SIAM J. Numer. Anal., 2012
 Finite Elements for Elliptic Problems with Highly Varying, NonPeriodic Diffusion Matrix
D. Peterseim and S. Sauter
SIAM Multiscale Modeling and Simulation Vol. 10, Issue 3, pp 665695, 2012
 Robustness of Finite Element Simulations in Densely Packed Random Particle Composites
D. Peterseim
Networks and Heterogenous Media Vol. 7, Issue 1, pp. 113126, 2012
 Finite element methods for the Stokes
problem on complicated domains
D. Peterseim and S. Sauter
Comput. Methods Appl. Mech. Engrg. Vol. 200, Issues 3336, pp 26112623, 2011
 Computational competition of symmetric mixed FEM in linear elasticity
C. Carstensen, M. Eigel, and J. Gedicke
Comput. Methods Appl. Mech. Engrg. Vol. 200, Issues 4144, pp 29032915, 2011
 Parallel multistep methods for linear
evolution problems
L. Banjay and D. Peterseim
IMA J. Numer. Anal., 2011
technical reports
conference proceedings
 Spectrumpreserving twoscale decompositions with applications to numerical homogenization and eigensolvers
D. Peterseim
To appear in "Interplay of Theory and Numerics for Deterministic and Stochastic Homogenization"
Oberwolfach Report No. 14/2013, DOI: 10.4171/OWR/2013/14
(joint work with A. Malqvist)
 Numerical Upscaling of Eigenvalue Problems
D. Peterseim
Mathematisches Forschungsinstitut Oberwolfach, submitted to Oberwolfach Reports,
Numerical Upscaling for Media with Deterministic and Stochastic Heterogeneity, 2013
(joint work with A. Malqvist)
 Comparison of Finite Element Methods for the Model Poisson Problem
D. Peterseim
Oberwolfach Reports No. 10,
Theory and Applications of Discontinous Galerkin Methods, 2012
(joint work with C. Carstensen and M. Schedensack)
 Finite Element Discretization of Multiscale Elliptic Problems
D. Peterseim
Oberwolfach Reports No. 9,
Advanced Computational Engineering, 2012
(joint work with A. Malqvist)
 Composite Finite Elements for Elliptic Interface Problems
D. Peterseim
Proc. Appl. Math. Mech. Vol. 10 Issue 1, pp. 661664, 2010
 Triangulating a
System of Disks
D. Peterseim
Proc. 26th European Workshop on Computational
Geometry (EWCG), pp. 241244, 2010
back to top
outreach
invited talks
 Spectrumpreserving Multiscale Decompositions with Applications to Numerical Homogenization and Eigensolvers
Mathematisches Forschungsinstitut Oberwolfach
Workshop "Interplay of Theory and Numerics for Deterministic and Stochastic Homogenization"
March 17  23, 2013
 Optimal Adaptive Nonconforming FEM for the Stokes Problem
Advances in Computational Mechanics (ACM 2013)
Symposium "HigherOrder and DG Methods for Flow and Transport" San Diego, California, USA
February 2427, 2013
 Comparison Results for Finite Element Methods
WONAPDE 2013
Minisymposium "Mixed Finite Element and Hybridized Discontinuous Galerkin Methods" Universidad de Concepción, Chile
January 1418, 2013
 Computational Homogenization of Elliptic Multiscale Problems
WONAPDE 2013
Minisymposium "Stabilized and Multiscale Finite Element Methods" Universidad de Concepción, Chile
January 1418, 2013
 Computational Homogenization of Elliptic Multiscale Problems
Dissipative Spectral Theory: Operator Theory, PDEs and Numerics
Cardiff School of Mathematics, Wales, UK
January 710, 2013
 A New Multiscale Method for (Semi)Linear Elliptic Problems
Numerical Analysis Seminar
Strathclyde University Glasgow, Scotland
November 27, 2012
 Computational Homogenization of Multiscale Elliptic Problems
Seminar über Partielle Differentialgleichungen und Numerik
Institut für Mathematik, Universität Zürich, Switzerland
October 4, 2012
 ScaleAdapted Finite Elements for Elliptic Problems with Highly Varying, NonPeriodic Coefficients
Minisymposium "Theory, numerics, and applications of higherorder methods"
CMAM5 2012, Berlin
July 31  August 3, 2012
 Localization of Elliptic Multiscale Problems
Minisympoium "MS 119  Mathematical and computational analysis of concurrent methods for multiscale material modeling"
WCCM 2012, Sao Paulo, Brazil
July 813, 2012
 Finite Element Computational Homogenization of Multiscale Elliptic Problems
Kolloquium der Arbeitsgruppe ModellierungNumerikDifferentialgleichungen, Technische Universität Berlin
June 19, 2012
 Comparison of Finite Element Methods for the Model Poisson Problem
Mathematisches Forschungsinstitut Oberwolfach, Workshop "Theory and Applications of Discontinuous Galerkin Methods"
February 1925, 2012
 Finite Element Discretization of Multiscale Elliptic Problems
Mathematisches Forschungsinstitut Oberwolfach, Workshop "Advanced Computational Engeneering"
February 1218, 2012
 Finite Element Discretization on Elliptic Multiscale Problems
University of Leicester, Leicester, United Kingdom
November 3, 2011
 Finite Element Methods for Eliptic Problems with Heterogenous and Oscillatory Coefficients
Maths and Applications Sussex Seminar, University of Sussex, Brighton, United Kingdom
June 23, 2011
 Introduction to the Finite Element Method
International Workshop on Advances in Computational Partial Differential Equations, BITSPilani Goa Campus, India February 07  March 05, 2011
 Numerical Methods
for Partial Differential Equations with Multiscale Data
BerlinSeoul Workshop, Yonsei University Seoul,
Korea
November 1519, 2010
 Finite element
analysis of random particle composites
Minisymposium "Numerical Methods for Inhomogeneous Materials"
5th Scientific Computing Seminar, CAU Kiel
June 2830, 2010
 Approximating
Effective Properties of Random Particle Reinforced Composites
Minisympoium "MSP03  Analytical and geometrical
problems in continuum mechanics"
SIMAI 2010, Universita di Cagliari
June 2125, 2010
 Finite Element
Methods for the Approximation of PDEs on Domains with Complicated
MicroStructures
Young Researchers' Minisymposium "Numerical and
Analytical Methods for Problems with Multiple Scales"
GAMM 2010, Karlsruhe
March 2226, 2010
 Finite Element
Analysis of Composite Materials
Seminar über Partielle Differentialgleichungen
und Numerik,
Institut für Mathematik, Universität Zürich
December 17, 2009
talks
 Nonconforming Finite Element Methods for the Obstacle Problem
Session "Guaranteed Error Bounds"
Admos 2013, Lissabon
June 3 5, 2013
 Nonconforming Finite Element Methods for the Obstacle Problem
Mafelap 2013, London
June 11 14, 2013
 Nonconforming Finite Element Methods for the Obstacle Problem
RMMM 2013, Jyväskylä
June 3 5, 2013
organized workshops
 Computational Multiscale Methods
Mathematisches Forschungsintitut Oberwolfach
Organizers: Carsten Carstensen, Berlin/Seoul,
Björn Engquist, Austin/Stockholm and
Daniel Peterseim, Berlin
details
June 22June 28, 2014

www.math.huberlin.de/~numa
 MATHEON project C33  last updated: 20131605


