Mathematik und Statistikhttp://kops.uni-konstanz.de:80/handle/123456789/82019-04-18T13:27:24Z2019-04-18T13:27:24ZGeneration of semigroups for the thermoelastic plate equation with free boundary conditionsDenk, Robertpop75824Shibata, Yoshihiro123456789/456142019-04-11T01:14:32Z2019Generation of semigroups for the thermoelastic plate equation with free boundary conditions
Denk, Robert; Shibata, Yoshihiro
2019Denk, RobertShibata, Yoshihiro510JOURNAL_ARTICLEeng10.3934/eect.20190162163-248030131382Evolution Equations & Control Theory2019-04-10T13:26:27+02:00123456789/39Evolution Equations & Control Theory ; 8 (2019), 2. - S. 301-313. - eISSN 2163-2480unknown2019-04-10T11:26:27ZtruePOD-Based Mixed-Integer Optimal Control of the Heat EquationBachmann, Freyapop210240Beermann, Dennispop212145Lu, Jianjiepop195256Volkwein, Stefanpop214121123456789/39073.22019-04-09T15:28:05Z2019POD-Based Mixed-Integer Optimal Control of the Heat Equation
Bachmann, Freya; Beermann, Dennis; Lu, Jianjie; Volkwein, Stefan
In the present paper an optimal control problem governed by the heat equation is considered, where continuous as well as discrete controls are involved. To obtain the discrete controls the branch-and-bound method is utilized, where in each node a relaxed control constrained optimal control problem has to be solved involving only continuous controls. However, the solutions to many relaxed optimal control problems have to be computed numerically. For that reason model-order reduction is applied to speed-up the branch-and-bound method. In this work the method of proper orthogonal decomposition (POD) is used. A posteriori error estimation in each node ensures that the calculated solutions are sufficiently accurate. Numerical experiments illustrate the efficiency of the proposed strategy.
2019Bachmann, FreyaBeermann, DennisLu, JianjieVolkwein, Stefan510In the present paper an optimal control problem governed by the heat equation is considered, where continuous as well as discrete controls are involved. To obtain the discrete controls the branch-and-bound method is utilized, where in each node a relaxed control constrained optimal control problem has to be solved involving only continuous controls. However, the solutions to many relaxed optimal control problems have to be computed numerically. For that reason model-order reduction is applied to speed-up the branch-and-bound method. In this work the method of proper orthogonal decomposition (POD) is used. A posteriori error estimation in each node ensures that the calculated solutions are sufficiently accurate. Numerical experiments illustrate the efficiency of the proposed strategy.JOURNAL_ARTICLEeng10.1007/s10915-019-00924-30885-74741573-7691Journal of Scientific Computing2019-04-09T17:27:15+02:00123456789/39Journal of Scientific Computing ; 2019. - ISSN 0885-7474. - eISSN 1573-7691true2019-04-09T15:27:15ZRegularity and asymptotic behavior for a damped plate-membrane transmission problemBarraza Martínez, BienvenidoDenk, Robertpop75824Hernández Monzón, JairoKammerlander, Felixpop260765Nendel, Maxpop501344123456789/42932.22019-04-05T08:55:39Z2019Regularity and asymptotic behavior for a damped plate-membrane transmission problem
Barraza Martínez, Bienvenido; Denk, Robert; Hernández Monzón, Jairo; Kammerlander, Felix; Nendel, Max
We consider a transmission problem where a structurally damped plate equation is coupled with a damped or undamped wave equation by transmission conditions. We show that exponential stability holds in the damped-damped situation and polynomial stability (but no exponential stability) holds in the damped-undamped case. Additionally, we show that the solutions first defined by the weak formulation, in fact have higher Sobolev space regularity.
2019Barraza Martínez, BienvenidoDenk, RobertHernández Monzón, JairoKammerlander, FelixNendel, Max510We consider a transmission problem where a structurally damped plate equation is coupled with a damped or undamped wave equation by transmission conditions. We show that exponential stability holds in the damped-damped situation and polynomial stability (but no exponential stability) holds in the damped-undamped case. Additionally, we show that the solutions first defined by the weak formulation, in fact have higher Sobolev space regularity.JOURNAL_ARTICLEeng10.1016/j.jmaa.2019.02.0050022-247X1096-0813108211034742Journal of Mathematical Analysis and Applications2019-04-05T10:55:39+02:00123456789/39Journal of Mathematical Analysis and Applications ; 474 (2019), 2. - S. 1082-1103. - ISSN 0022-247X. - eISSN 1096-0813true2019-04-05T08:55:39ZtrueConditional Variational Analysis and Path-dependent OptimizationStreckfuß, Martin123456789/455862019-04-06T01:04:22Z2019Conditional Variational Analysis and Path-dependent Optimization
Streckfuß, Martin
2019Streckfuß, Martin510DOCTORAL_THESISurn:nbn:de:bsz:352-2-b8rgjj4dyjm03eng2019-04-05T10:26:33+02:00123456789/392019-04-05T08:26:33Z