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partial differential equations and the finite element method
pavel oln
Synopsis "partial differential equations and the finite element method"
other books on finite element methods assume the reader has sufficient knowledge in functional analysis and partial differential equations (pdes). both topics are of vital importance for the understanding and application of modern finite element methods. this book reflects the most recent developments in finite element methods and is accessible to students of mathematics, engineering, and physics due to its approach. an overview and consolidation of the basic knowledge of linear spaces and pdes is presented, which is followed by this discussion of finite element methods and its applications. this book is designed as an introduction to advanced topics in the finite element analysis, such as hierarchic higher-order elements and automatic hp-adaptivity. the acquired finite element technology is applied to select engineering applications. selected intermediate topics involving hermite and argyris elements with derivatives and edge elements are also presented.
