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.
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