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Mathematical Aspects of Discontinuous Galerkin Methods (Paperback, 2012)
Loot Price: R3,756
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Mathematical Aspects of Discontinuous Galerkin Methods (Paperback, 2012)
Series: Mathematiques et Applications, 69
Expected to ship within 10 - 15 working days
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This book introduces the basic ideas to build discontinuous
Galerkin methods and, at the same time, incorporates several recent
mathematical developments. The presentation 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 exploited 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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