LEADER 04657nam 22006135 450 001 9910300115003321 005 20200629124226.0 010 $a1-4939-8636-8 024 7 $a10.1007/978-1-4939-8636-1 035 $a(CKB)4100000007003158 035 $a(MiAaPQ)EBC5553486 035 $a(DE-He213)978-1-4939-8636-1 035 $a(PPN)23145810X 035 $a(EXLCZ)994100000007003158 100 $a20181012d2018 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFrontiers in PDE-Constrained Optimization /$fedited by Harbir Antil, Drew P. Kouri, Martin-D. Lacasse, Denis Ridzal 205 $a1st ed. 2018. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2018. 215 $a1 online resource (435 pages) 225 1 $aThe IMA Volumes in Mathematics and its Applications,$x0940-6573 ;$v163 311 $a1-4939-8635-X 327 $aPart I: PDE-Constrained Optimization - Tutorials -- A Brief Introduction to PDE Constrained Optimization -- Optimization of PDEs with Uncertain Inputs -- Inexact Trust-Region Methods for PDE-Constrained Optimization -- Numerical Optimization Methods for the Optimal Control of Elliptic Inequalities -- Introduction to PDE-Constrained Optimization in the Oil and Gas Industry -- An Extreme-Scale PDE-Constrained Optimization Problem -- Part II: PDE-Constrained Optimization - Applications -- Energetically Optimal Flapping Wing Motions via Adjoint-Based Optimization and High-Order Discretizations -- Optimization of a Fractional Differential Equation -- Sensitivity-Based Topology and Shape Optimization with Electric Motors -- Distributed Parameter Estimation for the Time-Dependent Radiative Transfer Equation -- On the Use of Optimal Transport Distances for a PDE-Constrained Optimization Problem in Seismic Imaging -- Exploiting Sparsity in Solving PDE-Constrained Inverse Problems: Application to Subsurface Flow Model Calibration. 330 $aThis volume provides a broad and uniform introduction of PDE-constrained optimization as well as to document a number of interesting and challenging applications. Many science and engineering applications necessitate the solution of optimization problems constrained by physical laws that are described by systems of partial differential equations (PDEs) . As a result, PDE-constrained optimization problems arise in a variety of disciplines including geophysics, earth and climate science, material science, chemical and mechanical engineering, medical imaging and physics. This volume is divided into two parts. The first part provides a comprehensive treatment of PDE-constrained optimization including discussions of problems constrained by PDEs with uncertain inputs and problems constrained by variational inequalities. We place special emphasis on algorithm development and numerical computation. The second part of this volume focuses on the application of PDE-constrained optimization including problems in optimal control, optimal design and inverse problems, which includes a comprehensive treatment of inverse problems arising in the oil and gas industry, among other topics. 410 0$aThe IMA Volumes in Mathematics and its Applications,$x0940-6573 ;$v163 606 $aPartial differential equations 606 $aMathematics 606 $aMathematical optimization 606 $aTopology 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aMathematics of Planet Earth$3https://scigraph.springernature.com/ontologies/product-market-codes/M36000 606 $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008 606 $aTopology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28000 615 0$aPartial differential equations. 615 0$aMathematics. 615 0$aMathematical optimization. 615 0$aTopology. 615 14$aPartial Differential Equations. 615 24$aMathematics of Planet Earth. 615 24$aOptimization. 615 24$aTopology. 676 $a515.353 702 $aAntil$b Harbir$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aKouri$b Drew P$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aLacasse$b Martin-D$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRidzal$b Denis$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910300115003321 996 $aFrontiers in PDE-Constrained Optimization$91563850 997 $aUNINA