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Developing mathematical theories of the physical world: Open Access research on fluid dynamics from Strathclyde

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Review of p and hp-finite element methods. Theory and applications in solid and fluid mechanics

Ainsworth, Mark (2001) Review of p and hp-finite element methods. Theory and applications in solid and fluid mechanics. Mathematics of Computation, 70 (235). pp. 1335-1337. ISSN 0025-5718

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The demanding pace of the text would leave many UK graduate students in mathematics trailing in its wake. Exercises are included in the text, ranging from trivial computations to deeper applications of the theory. My only real criticism of the book lies in the number of minor typographical errors and inconsistencies that should have easily been detected by a copy editor. At a cost of $85.00 for 374 pages, I would expect the publisher to produce a far more polished product. Nevertheless, this is a detailed and authoritative account of the theory of hp-version _nite element methods at the end of the 1990s, and provides a much needed reference source for theoreticians in this area.