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  <doc>
    <id>22819</id>
    <completedYear/>
    <publishedYear>2019</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>411</pageFirst>
    <pageLast>431</pageLast>
    <pageNumber/>
    <edition/>
    <issue>4</issue>
    <volume>61</volume>
    <type>articler</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2018-12-07</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Discrete Total Variation with Finite Elements and Applications to Imaging</title>
    <abstract language="eng">The total variation (TV)-seminorm is considered for piecewise polynomial, globally discontinuous (DG) and continuous (CG) finite element functions on simplicial meshes. A novel, discrete variant (DTV) based on a nodal quadrature formula is defined. DTV has favorable properties, compared to the original TV-seminorm for finite element functions. These include a convenient dual representation in terms of the supremum over the space of Raviart–Thomas finite element functions, subject to a set of simple constraints. It can therefore be shown that a variety of algorithms for classical image reconstruction problems, including TV-L2 and TV-L1, can be implemented in low and higher-order finite element spaces with the same efficiency as their counterparts originally developed for images on Cartesian grids.</abstract>
    <parentTitle language="eng">Journal of Mathematical Imaging and Vision : (JMIV)</parentTitle>
    <identifier type="doi">10.1007/s10851-018-0852-7</identifier>
    <identifier type="issn">0924-9907</identifier>
    <identifier type="issn">1573-7683</identifier>
    <enrichment key="BTU">an der BTU erstellt / created at BTU</enrichment>
    <author>
      <firstName>Gerd</firstName>
      <lastName>Wachsmuth</lastName>
    </author>
    <submitter>
      <firstName>Gerd</firstName>
      <lastName>Wachsmuth</lastName>
    </submitter>
    <author>
      <firstName>Marc</firstName>
      <lastName>Herrmann</lastName>
    </author>
    <author>
      <firstName>Roland</firstName>
      <lastName>Herzog</lastName>
    </author>
    <author>
      <firstName>Stephan</firstName>
      <lastName>Schmidt</lastName>
    </author>
    <author>
      <firstName>José</firstName>
      <lastName>Vidal-Núñez</lastName>
    </author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Discrete total variaton</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Dual problem</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Image reconstruction</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Numerical algorithms</value>
    </subject>
    <collection role="institutes" number="1309">FG Optimale Steuerung</collection>
  </doc>
  <doc>
    <id>23267</id>
    <completedYear/>
    <publishedYear>2017</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>263</pageFirst>
    <pageLast>295</pageLast>
    <pageNumber/>
    <edition/>
    <issue>1</issue>
    <volume>23</volume>
    <type>articler</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2019-01-22</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Analysis of Spatio-Temporally Sparse Optimal Control Problems of Semilinear Parabolic Equations</title>
    <abstract language="eng">Optimal control problems with semilinear parabolic state equations are considered. The objective features one out of three different terms promoting various spatio-temporal sparsity patterns of the control variable. For each problem, first-order necessary optimality conditions, as well as second-order necessary and sufficient optimality conditions are proved. The analysis includes the case in which the objective does not contain the squared norm of the control.</abstract>
    <parentTitle language="eng">ESAIM: Control, Optimisation and Calculus of Variations (COCV)</parentTitle>
    <identifier type="doi">10.1051/cocv/2015048</identifier>
    <identifier type="issn">1292-8119</identifier>
    <identifier type="issn">1262-3377</identifier>
    <enrichment key="BTU">nicht an der BTU erstellt / not created at BTU</enrichment>
    <enrichment key="opus.doi.autoCreate">false</enrichment>
    <enrichment key="opus.urn.autoCreate">false</enrichment>
    <author>
      <firstName>Eduardo</firstName>
      <lastName>Casas</lastName>
    </author>
    <submitter>
      <firstName>Gerd</firstName>
      <lastName>Wachsmuth</lastName>
    </submitter>
    <author>
      <firstName>Roland</firstName>
      <lastName>Herzog</lastName>
    </author>
    <author>
      <firstName>Gerd</firstName>
      <lastName>Wachsmuth</lastName>
    </author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Optimal control</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>directional sparsity</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>second-order optimality conditions</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>semilinear parabolic equations</value>
    </subject>
    <collection role="institutes" number="1309">FG Optimale Steuerung</collection>
  </doc>
  <doc>
    <id>23690</id>
    <completedYear/>
    <publishedYear>2015</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>157</pageFirst>
    <pageLast>180</pageLast>
    <pageNumber/>
    <edition/>
    <issue>1</issue>
    <volume>62</volume>
    <type>articler</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2019-03-04</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Annular and sectorial sparsity in optimal control of elliptic equations</title>
    <abstract language="eng">Optimal control problems are considered with linear elliptic equations in polar coordinates. The objective contains L¹-type norms, which promote sparse optimal controls. The particular iterated structure of these norms gives rise to either annular or sectorial sparsity patterns. Optimality conditions and numerical solution approaches are developed.</abstract>
    <parentTitle language="eng">Computational Optimization and Applications (COAP)</parentTitle>
    <identifier type="doi">10.1007/s10589-014-9721-5</identifier>
    <identifier type="issn">0926-6003</identifier>
    <identifier type="issn">1573-2894</identifier>
    <enrichment key="BTU">nicht an der BTU erstellt / not created at BTU</enrichment>
    <enrichment key="opus.doi.autoCreate">false</enrichment>
    <enrichment key="opus.urn.autoCreate">false</enrichment>
    <author>
      <firstName>Roland</firstName>
      <lastName>Herzog</lastName>
    </author>
    <submitter>
      <firstName>Gerd</firstName>
      <lastName>Wachsmuth</lastName>
    </submitter>
    <author>
      <firstName>Johannes</firstName>
      <lastName>Obermeier</lastName>
    </author>
    <author>
      <firstName>Gerd</firstName>
      <lastName>Wachsmuth</lastName>
    </author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Directional sparsity</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Polar coordinates</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Coordinate transformation</value>
    </subject>
    <collection role="institutes" number="1309">FG Optimale Steuerung</collection>
  </doc>
  <doc>
    <id>24021</id>
    <completedYear/>
    <publishedYear>2012</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>645</pageFirst>
    <pageLast>669</pageLast>
    <pageNumber/>
    <edition/>
    <issue>4</issue>
    <volume>122</volume>
    <type>articler</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2019-05-06</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Approximation of Sparse Controls in Semilinear Equations by Piecewise Linear Functions Numerische Mathematik</title>
    <abstract language="eng">Semilinear elliptic optimal control problems involving the L¹ norm of the control in the objective are considered. A priori finite element error estimates for piecewise linear discretizations for the control and the state are proved. These are obtained by a new technique based on an appropriate discretization of the objective function. Numerical experiments confirm the convergence rates.</abstract>
    <parentTitle language="eng">Numerische Mathematik</parentTitle>
    <identifier type="doi">10.1007/s00211-012-0475-7</identifier>
    <identifier type="issn">0945-3245</identifier>
    <identifier type="issn">0029-599X</identifier>
    <enrichment key="BTU">nicht an der BTU erstellt / not created at BTU</enrichment>
    <enrichment key="opus.doi.autoCreate">false</enrichment>
    <enrichment key="opus.urn.autoCreate">false</enrichment>
    <author>
      <firstName>Eduardo</firstName>
      <lastName>Casas</lastName>
    </author>
    <submitter>
      <firstName>Helen</firstName>
      <lastName>Jacob</lastName>
    </submitter>
    <author>
      <firstName>Roland</firstName>
      <lastName>Herzog</lastName>
    </author>
    <author>
      <firstName>Gerd</firstName>
      <lastName>Wachsmuth</lastName>
    </author>
    <collection role="institutes" number="1309">FG Optimale Steuerung</collection>
  </doc>
  <doc>
    <id>24023</id>
    <completedYear/>
    <publishedYear>2012</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>795</pageFirst>
    <pageLast>820</pageLast>
    <pageNumber/>
    <edition/>
    <issue>3</issue>
    <volume>22</volume>
    <type>articler</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2019-05-06</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Optimality Conditions and Error Analysis of Semilinear Elliptic Control Problems with L¹ Cost Functional</title>
    <abstract language="eng">Semilinear elliptic optimal control problems involving the L¹ norm of the control in the objective are considered. Necessary and sufficient second-order optimality conditions are derived.&#13;
A priori finite element error estimates for piecewise constant discretizations for the control and piecewise linear discretizations of the state are shown. Error estimates for the variational discretization of the problem in the sense of [M. Hinze, Comput. Optim. Appl., 30 (2005), pp. 45–61] are also&#13;
obtained. Numerical experiments confirm the convergence rates.</abstract>
    <parentTitle language="eng">SIAM Journal on Optimization</parentTitle>
    <identifier type="doi">10.1137/110834366</identifier>
    <identifier type="issn">1052-6234</identifier>
    <identifier type="issn">1095-7189</identifier>
    <enrichment key="BTU">nicht an der BTU erstellt / not created at BTU</enrichment>
    <enrichment key="opus.doi.autoCreate">false</enrichment>
    <enrichment key="opus.urn.autoCreate">false</enrichment>
    <author>
      <firstName>Eduardo</firstName>
      <lastName>Casas</lastName>
    </author>
    <submitter>
      <firstName>Helen</firstName>
      <lastName>Jacob</lastName>
    </submitter>
    <author>
      <firstName>Roland</firstName>
      <lastName>Herzog</lastName>
    </author>
    <author>
      <firstName>Gerd</firstName>
      <lastName>Wachsmuth</lastName>
    </author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>optimal control of partial differential equations</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>nondifferentiable objective</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>sparse controls</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>finite element discretization</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>a priori error estimates</value>
    </subject>
    <collection role="institutes" number="1309">FG Optimale Steuerung</collection>
  </doc>
  <doc>
    <id>24009</id>
    <completedYear/>
    <publishedYear>2013</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>321</pageFirst>
    <pageLast>352</pageLast>
    <pageNumber/>
    <edition/>
    <issue>1</issue>
    <volume>23</volume>
    <type>articler</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2019-05-03</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">B- and Strong Stationarity for Optimal Control of Static Plasticity with Hardening</title>
    <abstract language="eng">Optimal control problems for the variational inequality of static elastoplasticity with linear kinematic hardening are considered. The control-to-state map is shown to be weakly directionally differentiable, and local optimal controls are proved to verify an optimality system of B-stationary type. For a modified problem, local minimizers are shown to even satisfy an optimality system of strongly stationary type.</abstract>
    <parentTitle language="eng">SIAM Journal on Optimization</parentTitle>
    <identifier type="doi">10.1137/110821147</identifier>
    <identifier type="issn">1052-6234</identifier>
    <identifier type="issn">1095-7189</identifier>
    <enrichment key="BTU">nicht an der BTU erstellt / not created at BTU</enrichment>
    <enrichment key="opus.doi.autoCreate">false</enrichment>
    <enrichment key="opus.urn.autoCreate">false</enrichment>
    <author>
      <firstName>Roland</firstName>
      <lastName>Herzog</lastName>
    </author>
    <submitter>
      <firstName>Helen</firstName>
      <lastName>Jacob</lastName>
    </submitter>
    <author>
      <firstName>Christian</firstName>
      <lastName>Meyer</lastName>
    </author>
    <author>
      <firstName>Gerd</firstName>
      <lastName>Wachsmuth</lastName>
    </author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>mathematical programs with complementarity constraints in function space</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>variational inequalities of first kind</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>elastoplasticity</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Bouligand and strong stationarity</value>
    </subject>
    <collection role="institutes" number="1309">FG Optimale Steuerung</collection>
  </doc>
  <doc>
    <id>24010</id>
    <completedYear/>
    <publishedYear>2012</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>3052</pageFirst>
    <pageLast>3082</pageLast>
    <pageNumber/>
    <edition/>
    <issue>5</issue>
    <volume>50</volume>
    <type>articler</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2019-05-03</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">C-Stationarity for Optimal Control of Static Plasticity with Linear Kinematic Hardening</title>
    <abstract language="eng">An optimal control problem is considered for the variational inequality representing the stress-based (dual) formulation of static elastoplasticity. The linear kinematic hardening model and the von Mises yield condition are used. Existence and uniqueness of the plastic multiplier is rigorously proved, which allows for the reformulation of the forward system using a complementarity condition. In order to derive necessary optimality conditions, a family of regularized optimal control problems is analyzed, wherein the static plasticity problems are replaced by their viscoplastic approximations. By passing to the limit in the optimality conditions for the regularized problems, necessary optimality conditions of C-stationarity type are obtained.</abstract>
    <parentTitle language="eng">SIAM Journal on Optimization</parentTitle>
    <identifier type="doi">10.1137/100809325</identifier>
    <identifier type="issn">0363-0129</identifier>
    <identifier type="issn">1095-7138</identifier>
    <enrichment key="BTU">nicht an der BTU erstellt / not created at BTU</enrichment>
    <enrichment key="opus.doi.autoCreate">false</enrichment>
    <enrichment key="opus.urn.autoCreate">false</enrichment>
    <author>
      <firstName>Roland</firstName>
      <lastName>Herzog</lastName>
    </author>
    <submitter>
      <firstName>Helen</firstName>
      <lastName>Jacob</lastName>
    </submitter>
    <author>
      <firstName>Christian</firstName>
      <lastName>Meyer</lastName>
    </author>
    <author>
      <firstName>Gerd</firstName>
      <lastName>Wachsmuth</lastName>
    </author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>mathematical programs with complementarity constraints</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>static plasticity</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>optimal control</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>optimality conditions</value>
    </subject>
    <collection role="institutes" number="1309">FG Optimale Steuerung</collection>
  </doc>
  <doc>
    <id>24111</id>
    <completedYear/>
    <publishedYear>2011</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>802</pageFirst>
    <pageLast>813</pageLast>
    <pageNumber/>
    <edition/>
    <issue>2</issue>
    <volume>382</volume>
    <type>articler</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2019-06-04</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Integrability of displacement and stresses in linear and nonlinear elasticity with mixed boundary conditions</title>
    <abstract language="eng">Equations of linear and nonlinear infinitesimal elasticity with mixed boundary conditionsare considered. The bounded domain is assumed to have a Lipschitz boundary and to satisfy additional regularity assumptions. W^(1,p) regularity for the displacements and L^p regularity for the stresses are proved for some p&gt;2.</abstract>
    <parentTitle language="eng">Journal of Mathematical Analysis and Applications</parentTitle>
    <identifier type="doi">10.1016/j.jmaa.2011.04.074</identifier>
    <identifier type="issn">0022-247X</identifier>
    <enrichment key="BTU">nicht an der BTU erstellt / not created at BTU</enrichment>
    <enrichment key="opus.doi.autoCreate">false</enrichment>
    <enrichment key="opus.urn.autoCreate">false</enrichment>
    <author>
      <firstName>Roland</firstName>
      <lastName>Herzog</lastName>
    </author>
    <submitter>
      <firstName>Helen</firstName>
      <lastName>Jacob</lastName>
    </submitter>
    <author>
      <firstName>Christian</firstName>
      <lastName>Meyer</lastName>
    </author>
    <author>
      <firstName>Gerd</firstName>
      <lastName>Wachsmuth</lastName>
    </author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Nonlinear elasticity</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Integrability</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Mixed boundary conditions</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Discontinuous coefficients</value>
    </subject>
    <collection role="institutes" number="1309">FG Optimale Steuerung</collection>
  </doc>
  <doc>
    <id>26733</id>
    <completedYear/>
    <publishedYear>2020</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>A1200</pageFirst>
    <pageLast>A1225</pageLast>
    <pageNumber/>
    <edition/>
    <issue>2</issue>
    <volume>42</volume>
    <type>articler</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2021-01-14</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">First and Second Order Shape Optimization Based on Restricted Mesh Deformations</title>
    <abstract language="eng">We consider shape optimization problems subject to elliptic partial differential equations. In the context of the finite element method, the geometry to be optimized is represented by the computational mesh, and the optimization proceeds by repeatedly updating the mesh node positions. It is well known that such a procedure eventually may lead to a deterioration of mesh quality, or even an invalidation of the mesh, when interior nodes penetrate neighboring cells. We examine this phenomenon, which can be traced back to the ineptness of the discretized objective when considered over the space of mesh node positions. As a remedy, we propose a restriction in the admissible mesh deformations, inspired by the Hadamard structure theorem. First and second order methods are considered in this setting. Numerical results show that mesh degeneracy can be overcome, avoiding the need for remeshing or other strategies. FEniCS code for the proposed methods is available on GitHub.</abstract>
    <parentTitle language="eng">SIAM Journal on Scientific Computing</parentTitle>
    <identifier type="issn">1095-7197</identifier>
    <identifier type="issn">1064-8275</identifier>
    <identifier type="doi">10.1137/19M1241465</identifier>
    <enrichment key="BTU">an der BTU erstellt / created at BTU</enrichment>
    <enrichment key="opus.source">publish</enrichment>
    <enrichment key="Fprofil">1 Energiewende und Dekarbonisierung / Energy Transition and Decarbonisation</enrichment>
    <enrichment key="Fprofil">4 Künstliche Intelligenz und Sensorik / Artificial Intelligence and Sensor Technology</enrichment>
    <author>
      <firstName>Tommy</firstName>
      <lastName>Etling</lastName>
    </author>
    <submitter>
      <firstName>Helen</firstName>
      <lastName>Jacob</lastName>
    </submitter>
    <author>
      <firstName>Roland</firstName>
      <lastName>Herzog</lastName>
    </author>
    <author>
      <firstName>Estefania</firstName>
      <lastName>Loayza</lastName>
    </author>
    <author>
      <firstName>Gerd</firstName>
      <lastName>Wachsmuth</lastName>
    </author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>shape optimization</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>shape gradient descent</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>shape Newton method</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>restricted mesh deformations</value>
    </subject>
    <collection role="institutes" number="1309">FG Optimale Steuerung</collection>
  </doc>
  <doc>
    <id>28041</id>
    <completedYear/>
    <publishedYear>2014</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>27</pageFirst>
    <pageLast>41</pageLast>
    <pageNumber/>
    <edition>1. Auflage</edition>
    <issue/>
    <volume/>
    <type>bookpart</type>
    <publisherName>Birkhäuser</publisherName>
    <publisherPlace>Cham</publisherPlace>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2021-12-01</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Optimal Control of Elastoplastic Processes: Analysis, Algorithms, Numerical Analysis and Applications</title>
    <abstract language="eng">An optimal control problem is considered for the variational inequality representing the stress-based (dual) formulation of static elastoplasticity. The linear kinematic hardening model and the von Mises yield condition are used. The forward system is reformulated such that it involves the plastic multiplier and a complementarity condition. In order to derive necessary optimality conditions, a family of regularized optimal control problems is analyzed. C-stationarity type conditions are obtained by passing to the limit with the regularization. Numerical results are presented.</abstract>
    <parentTitle language="eng">Trends in PDE Constrained Optimization</parentTitle>
    <identifier type="isbn">978-3-319-05082-9</identifier>
    <identifier type="isbn">978-3-319-38114-5</identifier>
    <identifier type="isbn">978-3-319-05083-6</identifier>
    <identifier type="doi">10.1007/978-3-319-05083-6_4</identifier>
    <enrichment key="BTU">nicht an der BTU erstellt / not created at BTU</enrichment>
    <enrichment key="opus.source">publish</enrichment>
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    <author>
      <firstName>Roland</firstName>
      <lastName>Herzog</lastName>
    </author>
    <submitter>
      <firstName>Helen</firstName>
      <lastName>Jacob</lastName>
    </submitter>
    <editor>
      <firstName>Günter</firstName>
      <lastName>Leugering</lastName>
    </editor>
    <author>
      <firstName>Christian</firstName>
      <lastName>Meyer</lastName>
    </author>
    <author>
      <firstName>Gerd</firstName>
      <lastName>Wachsmuth</lastName>
    </author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Mathematical programs with complementarity constraints in function space</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Variational inequalities</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Elastoplasticity</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Regularization</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Optimality conditions</value>
    </subject>
    <collection role="institutes" number="1309">FG Optimale Steuerung</collection>
  </doc>
</export-example>
