Andreas Veeser - Research
- finite element methods
- aposteriori error estimates and adaptivity
- stability and discretization
- variational inequalities
- mean curvature flow
- crystal growth
Publications
In each section the publications appear in inverse chronological
order. If a publication or manuscript has no link or you do not have
access to a given one, please feel free to ask me for a hard- or
softcopy (contact).
- An efficient and reliable residual-type a posteriori
error estimator for the Signorini problem. Submitted, with
Rolf Krause and Mirjam Walloth.
- Poincaré
constants for finite element stars. IMA J Numer Anal (2012)
32 (1): 30-47, with Rüdiger Verfürth.
- Hierarchical error
estimates for the energy functional in obstacle problems.
Numer. Math. 117 (2011), 653-677, with Qingsong Zou, Ralf Kornhuber,
and Carsten Gräser.
- Explicit
upper bounds for dual norms of residuals. SIAM
J. Numer. Anal. 47 (2009), 2387-2405, with Rüdiger
Verfürth.
- A
safeguarded dual weighted residual method. IMA
J. Numer. Anal. 29 (2009) 126-140, with Ricardo H. Nochetto and
Marco Verani.
- A
basic convergence result for conforming adaptive finite
elements. Math. Models Methods Appl. Sci. 18 (2008),
707-737, with Pedro Morin and Kunibert G. Siebert.
- A
unilaterally constrained quadratic minimization with adaptive finite
elements. SIAM J. Optim., 18 (2007), 260-289 , with
Kunibert G. Siebert.
- Pointwise a
posteriori error estimates for monotone semi-linear
equations. Numer. Math. 104 (2006), 515-538, with Ricardo
H. Nochetto, Alfred Schmidt and Kunibert G. Siebert.
- A
posteriori error estimators, gradient recovery by averaging, and
superconvergence. Numer. Math., 103 (2006), 267-298, with
Francesca Fierro.
-
Locally efficient and reliable a posteriori error estimators for
Dirichlet problems. Math. Mod. Meth. Appl. Sci. 16
(2006), 319-346, with Roberta Sacchi.
-
Fully localized a posteriori error estimators and barrier sets for
contact problems. SIAM J. Numer. Anal. 42 (2005),
2118-2135, with Ricardo H. Nochetto and Kunibert G. Siebert.
- A
posteriori error estimators for regularized total variation of
characteristic functions. SIAM J. Numer. Anal. 41 (2003),
2032-2055, with Francesca Fierro.
-
Pointwise a posteriori error control for elliptic obstacle
problems. Numer. Math. 95 (2003), 163-195, with Ricardo
H. Nochetto and Kunibert G. Siebert.
-
On the a posteriori error analysis for equations of prescribed mean
curvature. Math. Comp. 72 (2003), no. 244, 1611-1635,
with Francesca Fierro.
-
Stability of flat interfaces during semidiscrete
solidification. M2AN Math. Model. Numer. Anal. 36 (2002),
573-595.
-
Convergent adaptive finite elements for the nonlinear
Laplacian. Numer. Math. 92 (2002), 743-770.
-
Efficient and reliable a posteriori error estimators for elliptic
obstacle problems. SIAM J. Numer. Anal. 39 (2001), no. 1,
146-167.
- Error estimates
for semi-discrete dendritic growth. Interfaces Free
Bound. 1 (1999), no. 2, 227-255.
- Primer of adaptive finite element methods. Multiscale
and adaptivity: modeling, numerics and applications, G. Naldi, G. Russo (Ed.),
Springer Verlag Heidelberg, 125-226, 2012, with Ricardo H. Nochetto.
- Theory of adaptive finite element methods: an
introduction. Multiscale, nonlinear and adaptive
approximation, Ronald DeVore, Angela Kunoth (Ed.), Springer Verlag
Heidelberg, 409-542, 2009, with Ricardo H. Nochetto and Kunibert
G. Siebert.
-
Simulation and Numerical Analysis of Dendritic Growth.
Ergodic theory, analysis, and efficient simulation of dynamical
systems, 225-252, 812-813, Springer, Berlin, 2001, with Michael
Fried.
-
Basic convergence results for conforming adaptive finite
elements. PAMM 7 (2008), 1026001-1026002, with Pedro
Morin and Kunibert G. Siebert.
-
Convergence of finite elements adapted for weaker norms.
Applied and industrial mathematics in Italy II (Selected papers from
the 8th SIMAI Conference held in Ragusa, May 22-26, 2006), 468-470,
Ser. Adv. Math. Appl. Sci. 75, World Sci. Publ., Hackensackm NJ,
2007, with Pedro Morin and Kunibert G. Siebert.
-
A safeguarded Zienkiewicz-Zhu estimator. Numerical
Mathematics and Advanced Applications. Proceedings of ENUMATH 2005,
the 6th European Conference on Numerical Mathematics and Advanced
Applications (Santiago de Compostela, 2005), Springer Berlin,
269-276, 2006, with Francesca Fierro.
- On a Posteriori Error Estimation for Constant Obstacle
Problems. Numerical methods for viscosity solutions and
applications (Heraklion, 1999), 221-234,
Ser. Adv. Math. Appl. Sci., 59, World Sci. Publishing, River Edge,
NJ, 2001.
- Fehlerabschätzungen für ein Verfahren zur
Berechnung von zweidimensionalen Dendriten. Dissertation,
Mathematische Fakultät, Albert-Ludwigs-Universität
Freiburg im Breisgau (Germany), April 1998. Advisor:
Gerhard Dziuk.
Master's thesis
- Globale Existenz von Graphen unter inhomogenem
Krümmungsfluß bei Dirichlet-Randbedingungen.
Diplomarbeit, Institut für Angewandte Mathematik,
Albert-Ludwigs-Universität Freiburg im Breisgau (Germany),
December 1993. Advisor: Gerhard Dziuk.
Past
Last update: 11 mar 2013 -- A. Veeser