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Mathematical Aspects of Discontinuous Galerkin Methods by Daniele Antonio Di Pietro

Mathematical Aspects of Discontinuous Galerkin Methods

by Daniele Antonio Di Pietro
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Book cover type: Paperback
  • ISBN13: 9783642229794
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 384
  • Original Price: GBP 109.99
  • Language: English
  • Edition: 2012
  • Item Weight: 608 grams
  • BISAC Subject(s): Applied, Counting & Numeration, and Number Systems

From the Back Cover
This book introduces the basic ideas for building discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. It is to a large extent self-contained and is intended for graduate students and researchers in numerical analysis. The material covers a wide range of model problems, both steady and unsteady, elaborating from advection-reaction and diffusion problems up to the Navier-Stokes equations and Friedrichs' systems. Both finite-element and finite-volume viewpoints are utilized to convey the main ideas underlying the design of the approximation. The analysis is presented in a rigorous mathematical setting where discrete counterparts of the key properties of the continuous problem are identified. The framework encompasses fairly general meshes regarding element shapes and hanging nodes. Salient implementation issues are also addressed.

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