{"product_id":"9781611970685","title":"Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces","description":"\u003cp\u003eSemismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for solving constrained optimization problems with partial differential equations (PDEs), variational inequalities and related problems. This book provides a comprehensive presentation of these methods in function spaces, choosing a balance between thoroughly developed theory and numerical applications. Although largely self-contained, the book also covers recent developments such as state-constrained problems and offers new material on topics such as improved mesh independence results. The theory and methods are applied to a range of practically important problems, including: * optimal control of nonlinear elliptic differential equations  * obstacle problems  * flow control of instationary Navier-Stokes fluids  In addition, the author covers adjoint-based derivative computation and the efficient solution of Newton systems by multigrid and preconditioned iterative methods.\u003c\/p\u003e","brand":"SIAM - SOCIETY FOR INDUSTRIAL AND APPLIED","offers":[{"title":"Default Title","offer_id":47436476055604,"sku":"9781611970685","price":268.0,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0651\/9390\/2132\/files\/9781611970685.jpg?v=1774739875","url":"https:\/\/woodslane.com.au\/products\/9781611970685","provider":"Woodslane","version":"1.0","type":"link"}