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A powerful tool for the approximate solution of differential equations, the finite element is extensively used in industry and research. This book offers students of engineering and physics a comprehensive view of the principles involved, with numerous illustrative examples and exercises. Starting with continuum boundary value problems and the need for numerical discretization, the text examines finite difference methods, weighted residual methods in the context of continuous trial functions, and piecewise defined trial functions and the finite element method. Additional topics include higher order finite element approximation, mapping and numerical integration, variational methods, and partial discretization and time-dependent problems. A survey of generalized finite elements and error estimates concludes the text.
A powerful tool for the approximate solution of differential equations, the finite element is extensively used in industry and research. This book offers studen
This book is the first volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate
This introduction to the theory of Sobolev spaces and Hilbert space methods in partial differential equations is geared toward readers of modest mathematical ba
This book is the second volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research. It is also appropriate
This book gives an introduction to the finite element method as a general computational method for solving partial differential equations approximately. Our app