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[×ÊÔ´] Mathematical Aspects of Discontinuous Galerkin Methods

Ò»±¾½éÉÜ Discontinuous Galerkin method µÄÊ飬ÓëÆäËû·½·¨µÄ±È½ÏºÍ¹ØÁª£¬ÒÔ¼°½«ÆäÓ¦Óõ½Ò»Ð©¾ßÌåµÄÓ¦ÓÃÎÊÌâ¡£
Author: D. A. Di Pietro and A. Ern
publisher: Springer;               Volume & Year:Volume 69, 2012
Preface:
The mathematical setting for the continuous model is a key to successful approximation methods
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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  • ¸½¼þ 1 : Springer_-_Mathematical_Aspects_of_Discontinuous_Galerkin_Methods_-_2012.pdf
  • 2014-07-07 11:05:57, 4.24 M

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