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$$p$$- and $$hp$$-finite element methods. Theory and applications in solid and fluid mechanics. (English) Zbl 0910.73003
Numerical Mathematics and Scientific Computation. Oxford: Clarendon Press. xii, 374 p. (1998).
This book resulted from courses on finite element analysis taught by the author in 1989/96 in Zürich. As such, the text is intended as an up-to-date view of the mathematical techniques used to establish $$p$$- or spectral convergence results of higher order, and $$hp$$- and spectral element methods. The investigation of where and when such methods are recommended in preference to the more classical $$h$$-version of finite elements is carefully presented with emphasis on singularly perturbed problems.
The book is recommended to graduate mathematical students and engineers seeking a good reference text on the title problem.

##### MSC:
 74-02 Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids 76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics 74S15 Boundary element methods applied to problems in solid mechanics 76M10 Finite element methods applied to problems in fluid mechanics 65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis