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The Resource Shape optimization, homogenization and optimal control : DFG-AIMS workshop held at the AIMS Center Senegal, March 13-16, 2017, Volker Schulz, Diaraf Seck, editors

Shape optimization, homogenization and optimal control : DFG-AIMS workshop held at the AIMS Center Senegal, March 13-16, 2017, Volker Schulz, Diaraf Seck, editors

Label
Shape optimization, homogenization and optimal control : DFG-AIMS workshop held at the AIMS Center Senegal, March 13-16, 2017
Title
Shape optimization, homogenization and optimal control
Title remainder
DFG-AIMS workshop held at the AIMS Center Senegal, March 13-16, 2017
Statement of responsibility
Volker Schulz, Diaraf Seck, editors
Creator
Contributor
Editor
Subject
Genre
Language
eng
Summary
The contributions in this volume give an insight into current research activities in Shape Optimization, Homogenization and Optimal Control performed in Africa, Germany and internationally. Seeds for collaboration can be found in the first four papers in the field of homogenization. Modelling and optimal control in partial differential equations is the topic of the next six papers, again mixed from Africa and Germany. Finally, new results in the field of shape optimization are discussed in the final international three papers. This workshop, held at the AIMS Center Senegal, March 13-16, 2017, has been supported by the Deutsche Forschungsgemeinschaft (DFG) and by the African Institute for Mathematical Sciences (AIMS) in Senegal, which is one of six centres of a pan-African network of centres of excellence for postgraduate education, research and outreach in mathematical sciences.--
Member of
Assigning source
Provided by publisher
Cataloging source
N$T
Dewey number
515/.35
Index
no index present
LC call number
QA377
Literary form
non fiction
http://bibfra.me/vocab/lite/meetingDate
2017
http://bibfra.me/vocab/lite/meetingName
DFG-AIMS (Workshop)
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorDate
1965-
http://library.link/vocab/relatedWorkOrContributorName
  • Schulz, Volker
  • Seck, Diaraf
Series statement
International series of numerical mathematics,
Series volume
volume 169
http://library.link/vocab/subjectName
  • Homogenization (Differential equations)
  • Control theory
Label
Shape optimization, homogenization and optimal control : DFG-AIMS workshop held at the AIMS Center Senegal, March 13-16, 2017, Volker Schulz, Diaraf Seck, editors
Instantiates
Publication
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Preface; Contents; Homogenization in Magnetic-Shape-Memory Polymer Composites; 1 Introduction; 2 The Model; 3 Analytical Homogenization; 4 Numerical Study of the Cell Problem; 5 Conclusions and Outlook; References; Homogenization of Stochastic Parabolic Equationsin Varying Domains; 1 Introduction; 2 Homogenization of Semilinear Stochastic Parabolic Equations in a Domain with Fine Grained Boundaries; 2.1 Our Notion of Solution and Its Existence; 2.2 Probability Measures Generated by the Sequence ( W( s) ,u( s) ) and Their Tightness; 2.3 Cell Problem
  • 2 Problem Formulation: NMPC and MHE3 Decomposition of the MHE Problem; 4 Decomposition of the NMPC Problem; 5 Multilevel Iterations; 5.1 Establishing the Reduced Problems; 5.2 Iteration on the Level A; 5.3 Iteration on the Level B; 5.4 Iteration on the Level C; 6 Numerical Results; 7 Conclusions; References; Some Recent Developments in Optimal Control of Multiphase Flows; 1 Introduction; 1.1 Notation; 2 Existence of Solutions of the Cahn-Hilliard-Navier-Stokes System; 2.1 The Semi-Discrete CHNS System; 2.2 Existence of Solutions; 3 The Optimal Control Problem; 4 Stationarity Conditions
  • 4.1 Boundary Control5 Numerical Solution Methods; 5.1 Adaptive Mesh Refinement Techniques; 5.2 Numerical Results; 6 Future Directions; References; Localized Model Reduction in PDE Constrained Optimization; 1 Introduction; 2 Weak Formulation for the Parameterized Multiscale Problem and Non-conforming Reference Approximation; 3 A General Non-conforming Weak Formulation for Numerical Multiscale Methods; 4 A General Framework for Localized Model Reduction Based on Numerical Multiscale Methods with Oversampling; 5 The Reduced Basis Heterogeneous Multiscale Method (RB-HMM)
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783319904696
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
Label
Shape optimization, homogenization and optimal control : DFG-AIMS workshop held at the AIMS Center Senegal, March 13-16, 2017, Volker Schulz, Diaraf Seck, editors
Publication
Antecedent source
unknown
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Intro; Preface; Contents; Homogenization in Magnetic-Shape-Memory Polymer Composites; 1 Introduction; 2 The Model; 3 Analytical Homogenization; 4 Numerical Study of the Cell Problem; 5 Conclusions and Outlook; References; Homogenization of Stochastic Parabolic Equationsin Varying Domains; 1 Introduction; 2 Homogenization of Semilinear Stochastic Parabolic Equations in a Domain with Fine Grained Boundaries; 2.1 Our Notion of Solution and Its Existence; 2.2 Probability Measures Generated by the Sequence ( W( s) ,u( s) ) and Their Tightness; 2.3 Cell Problem
  • 2 Problem Formulation: NMPC and MHE3 Decomposition of the MHE Problem; 4 Decomposition of the NMPC Problem; 5 Multilevel Iterations; 5.1 Establishing the Reduced Problems; 5.2 Iteration on the Level A; 5.3 Iteration on the Level B; 5.4 Iteration on the Level C; 6 Numerical Results; 7 Conclusions; References; Some Recent Developments in Optimal Control of Multiphase Flows; 1 Introduction; 1.1 Notation; 2 Existence of Solutions of the Cahn-Hilliard-Navier-Stokes System; 2.1 The Semi-Discrete CHNS System; 2.2 Existence of Solutions; 3 The Optimal Control Problem; 4 Stationarity Conditions
  • 4.1 Boundary Control5 Numerical Solution Methods; 5.1 Adaptive Mesh Refinement Techniques; 5.2 Numerical Results; 6 Future Directions; References; Localized Model Reduction in PDE Constrained Optimization; 1 Introduction; 2 Weak Formulation for the Parameterized Multiscale Problem and Non-conforming Reference Approximation; 3 A General Non-conforming Weak Formulation for Numerical Multiscale Methods; 4 A General Framework for Localized Model Reduction Based on Numerical Multiscale Methods with Oversampling; 5 The Reduced Basis Heterogeneous Multiscale Method (RB-HMM)
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783319904696
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote

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