In this paper,a multiscale problem arising in material science is considered.The problem involves a random coefficient which is assumed to be a perturbation of a deterministic coefficient,in a sense made precisely in ...In this paper,a multiscale problem arising in material science is considered.The problem involves a random coefficient which is assumed to be a perturbation of a deterministic coefficient,in a sense made precisely in the body of the text.The homogenized limit is then computed by using a perturbation approach.This computation requires repeatedly solving a corrector-like equation for various configurations of the material.For this purpose,the reduced basis approach is employed and adapted to the specific context.The authors perform numerical tests that demonstrate the efficiency of the approach.展开更多
This paper considers dynamical systems under feedback with control actions limited toswitching.The authors wish to understand the closed-loop systems as approximating multi-scale problemsin which the implementation of...This paper considers dynamical systems under feedback with control actions limited toswitching.The authors wish to understand the closed-loop systems as approximating multi-scale problemsin which the implementation of switching merely acts on a fast scale.Such hybrid dynamicalsystems are extensively studied in the literature,but not much so far for feedback with partial stateobservation.This becomes in particular relevant when the dynamical systems are governed by partialdifferential equations.The authors introduce an augmented BV setting which permits recognition ofcertain fast scale effects and give a corresponding well-posedness result for observations with such minimalregularity.As an application for this setting,the authors show existence of solutions for systemsof semilinear hyperbolic equations under such feedback with pointwise observations.展开更多
"细观力学面临的新挑战国际会议"("InternationalConference on New Challenges in Mesomechanics")于2002年8月26～30日在丹麦奥尔堡(Aalborg)召开,由奥尔堡大学(Aalborg University)主办.与会人数约120人,分别来..."细观力学面临的新挑战国际会议"("InternationalConference on New Challenges in Mesomechanics")于2002年8月26～30日在丹麦奥尔堡(Aalborg)召开,由奥尔堡大学(Aalborg University)主办.与会人数约120人,分别来自丹麦、中国、希腊、俄国、德国、美国、英国、日本等20多个国家.会议上报告论文100余篇.我国有12人(包括大陆、香港、台湾)参加会议,在会上作了10个报告.展开更多
基金Project supported by EOARD(European Office of Aerospace Research and Development) (No.FA865510-C-4002)
文摘In this paper,a multiscale problem arising in material science is considered.The problem involves a random coefficient which is assumed to be a perturbation of a deterministic coefficient,in a sense made precisely in the body of the text.The homogenized limit is then computed by using a perturbation approach.This computation requires repeatedly solving a corrector-like equation for various configurations of the material.For this purpose,the reduced basis approach is employed and adapted to the specific context.The authors perform numerical tests that demonstrate the efficiency of the approach.
基金support of the Elite Network of Bavaria under the grant #K-NW-2004-143
文摘This paper considers dynamical systems under feedback with control actions limited toswitching.The authors wish to understand the closed-loop systems as approximating multi-scale problemsin which the implementation of switching merely acts on a fast scale.Such hybrid dynamicalsystems are extensively studied in the literature,but not much so far for feedback with partial stateobservation.This becomes in particular relevant when the dynamical systems are governed by partialdifferential equations.The authors introduce an augmented BV setting which permits recognition ofcertain fast scale effects and give a corresponding well-posedness result for observations with such minimalregularity.As an application for this setting,the authors show existence of solutions for systemsof semilinear hyperbolic equations under such feedback with pointwise observations.
文摘"细观力学面临的新挑战国际会议"("InternationalConference on New Challenges in Mesomechanics")于2002年8月26～30日在丹麦奥尔堡(Aalborg)召开,由奥尔堡大学(Aalborg University)主办.与会人数约120人,分别来自丹麦、中国、希腊、俄国、德国、美国、英国、日本等20多个国家.会议上报告论文100余篇.我国有12人(包括大陆、香港、台湾)参加会议,在会上作了10个报告.
