Optimal distributed control of a diffuse interface model of tumor growth
In this paper, a distributed optimal control problem is studied for a diffuse interface model of
tumor growth which was proposed by Hawkins–Daruud et al in Hawkins–Daruud et al (2011 …
tumor growth which was proposed by Hawkins–Daruud et al in Hawkins–Daruud et al (2011 …
On the optimal control of variational–hemivariational inequalities
The present paper represents a continuation of [26]. There, a continuous dependence result
for the solution of an elliptic variational–hemivariational inequality was obtained and then …
for the solution of an elliptic variational–hemivariational inequality was obtained and then …
Mathematical programs with complementarity constraints in function space: C-and strong stationarity and a path-following algorithm
M Hintermüller, I Kopacka - SIAM Journal on Optimization, 2009 - SIAM
An optimal control problem governed by an elliptic variational inequality is studied. The
feasible set of the problem is relaxed, and a path–following-type method is used to …
feasible set of the problem is relaxed, and a path–following-type method is used to …
[BOOK][B] Optimale Steuerung partieller Differentialgleichungen
F Tröltzsch - 2005 - Springer
Die mathematische Optimierung von Vorgängen, die durch partielle Differentialgleichungen
modelliert werden, hat in den letzten Jahren einen beachtlichen Aufschwung genommen …
modelliert werden, hat in den letzten Jahren einen beachtlichen Aufschwung genommen …
[BOOK][B] Accuracy verification methods: Theory and algorithms
The importance of accuracy verification methods was understood at the very beginning of
the development of numerical analysis. Recent decades have seen a rapid growth of results …
the development of numerical analysis. Recent decades have seen a rapid growth of results …
Well-posed nonlinear problems
M Sofonea - A study of mathematical models of contact. Advances in …, 2023 - Springer
The contents of this book are structured around two main topics: the Mathematical Theory of
the Well-posed Problems (MTWP) and the Mathematical Theory of Contact Mechanics …
the Well-posed Problems (MTWP) and the Mathematical Theory of Contact Mechanics …
Distributed optimal control of the Cahn–Hilliard system including the case of a double-obstacle homogeneous free energy density
M Hintermüller, D Wegner - SIAM Journal on Control and Optimization, 2012 - SIAM
In this paper we study the distributed optimal control for the Cahn–Hilliard system. A general
class of free energy potentials is allowed which, in particular, includes the double-obstacle …
class of free energy potentials is allowed which, in particular, includes the double-obstacle …
Fixed domain approaches in shape optimization problems
This work is a review of results in the approximation of optimal design problems, defined in
variable/unknown domains, based on associated optimization problems defined in a …
variable/unknown domains, based on associated optimization problems defined in a …
One hundred years since the introduction of the set distance by Dimitrie Pompeiu
T Birsan, D Tiba - System Modeling and Optimization: Proceedings of the …, 2006 - Springer
This paper recalls the work of D. Pompeiu who introduced the notion of set distance in his
thesis published one century ago. The notion was further studied by F. Hausdorff, C …
thesis published one century ago. The notion was further studied by F. Hausdorff, C …
Optimal shape design subject to elliptic variational inequalities
The shape of the free boundary arising from the solution of a variational inequality is
controlled by the shape of the domain where the variational inequality is defined. Shape and …
controlled by the shape of the domain where the variational inequality is defined. Shape and …