Titlebook: Least-Squares Finite Element Methods; Max D. Gunzburger,Pavel B. Bochev Book 2009 Springer-Verlag New York 2009 Analysis.Bochev.Elements.F

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nugatory

Variations on Least-Squares Finite Element Methodsto keep the book from becoming prohibitively long, the discussion of these additional topics is brief. Our goal here is to acquaint the reader with the wide scope of the least-squares finite element universe; details about the topics discussed may be found in the cited references.

ARK

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uveitis

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Control and Optimization Problemserest in the application of sophisticated local and global optimization strategies, e.g., Lagrange multiplier methods, sensitivity or adjoint-based gradient methods, quasi-Newton methods, evolutionary algorithms, and so on.

江湖騙子

畫布

Analysis Toolsthese spaces are the most relevant ones to the subject matter of the book, namely the numerical solution of PDEs by least-squares finite element methods (LSFEMs). For more comprehensive treatments of the various function spaces arising in the theory of PDEs, see, e.g., [1, 17, 183, 187, 250, 265, 304, 331, 342].

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Alternative Variational Formulationslty, and augmented Lagrangian variational formulations are members of this class. Although they are not within the focus of this book, in Section 2.1, we provide a concise summary of the corresponding finite element methods. There are several reasons for doing so. First, such formulations lead to im