{"product_id":"semismooth-newton-methods-for-variational-inequalities-and-constrained-optimization-problems-in-function-spaces-paperback-softback-9781611970685","title":"Semismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces (Paperback \/ softback) 9781611970685","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSemismooth Newton Methods for Variational Inequalities and Constrained Optimization Problems in Function Spaces\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA comprehensive treatment of semismooth Newton methods in function spaces: from their foundations to recent progress in the field.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eMichael Ulbrich (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781611970685\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 30 July 2011\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e322 pages\u003cbr\u003e25.1 x 17.7 x 1.7 cm, 0.592 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\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\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eNotation\u003cbr\u003e Preface\u003cbr\u003e 1. Introduction\u003cbr\u003e 2. Elements of finite-dimensional nonsmooth analysis\u003cbr\u003e 3. Newton methods for semismooth operator equations\u003cbr\u003e 4. Smoothing steps and regularity conditions\u003cbr\u003e 5. Variational inequalities and mixed problems\u003cbr\u003e 6. Mesh independence\u003cbr\u003e 7. Trust-region globalization\u003cbr\u003e 8. State-constrained and related problems\u003cbr\u003e 9. Several applications\u003cbr\u003e 10. Optimal control of incompressible Navier–Stokes flow\u003cbr\u003e 11. Optimal control of compressible Navier–Stokes flow\u003cbr\u003e Appendix\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Miscellaneous items [\u003ca title=\"See our other books on Miscellaneous items\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Miscellaneous%20items%20%5BWZ%5D%22\"\u003eWZ\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"MP–SIA SIAM – Society for Industrial and Applied M","offers":[{"title":"Brand New","offer_id":52446174314776,"sku":"9781611970685","price":74.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781611970685i.jpg?v=1785110836","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/semismooth-newton-methods-for-variational-inequalities-and-constrained-optimization-problems-in-function-spaces-paperback-softback-9781611970685","provider":"Freshly Printed Books","version":"1.0","type":"link"}