| 书目名称 | Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mech |
| 编辑 | William G. Litvinov |
| 视频video | |
| 丛书名称 | Operator Theory: Advances and Applications |
| 图书封面 |  |
| 描述 | This book is intended to be both a thorough introduction to contemporary research in optimization theory for elliptic systems with its numerous applications and a textbook at the undergraduate and graduate level for courses in pure or applied mathematics or in continuum mechanics. Various processes of modern technology and production are described by el liptic partial differential equations. Optimization of these processes reduces to op timization problems for elliptic systems. The numerical solution of such problems is associated with the solution of the following questions. 1. The setting of the optimization problem ensuring the existence of a solution on a set of admissible controls, which is a subset of some infinite-dimensional vector space. 2. Reduction of the infinite-dimensional optimization problem to a sequence of finite-dimensional problems such that the solutions of the finite-dimensional problems converge, in a sense, to the solution of the infinite-dimensional problem.3. Numerical solution of the finite-dimensional problems. |
| 出版日期 | Book 2000 |
| 关键词 | Boundary value problem; Hilbert space; Operator; Sobolev space; Transformation; electromagnetic wave; flui |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-0348-8387-0 |
| isbn_softcover | 978-3-0348-9545-3 |
| isbn_ebook | 978-3-0348-8387-0Series ISSN 0255-0156 Series E-ISSN 2296-4878 |
| issn_series | 0255-0156 |
| copyright | Springer Basel AG 2000 |
发表于 2025-3-21 20:02:41
