Mathematical Aspects of Discontinuous Galerkin Methods [electronic resource] /by Daniele Antonio Di Pietro, Alexandre Ern.
by Di Pietro, Daniele Antonio [author.]; Ern, Alexandre [author.]; SpringerLink (Online service).
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BookSeries: Mathématiques et Applications: 69Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.Description: XVII, 384p. online resource.ISBN: 9783642229800.Subject(s): Mathematics | Computer science -- Mathematics | Numerical analysis | Engineering mathematics | Mathematics | Numerical Analysis | Computational Mathematics and Numerical Analysis | Appl.Mathematics/Computational Methods of EngineeringDDC classification: 518 Online resources: Click here to access online | Item type | Current location | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
| MAIN LIBRARY | QA297-299.4 (Browse shelf) | Available |
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| RJ1-570 Disorders of Sex Development | QA75.5-76.95 Enabling Real-Time Business Intelligence | QC750-766 Magnetism | QA297-299.4 Mathematical Aspects of Discontinuous Galerkin Methods | T57-57.97 Mathematical Modeling in Biomedical Imaging II | K7000-7720.22 German Corporate Governance in International and European Context | QA75.5-76.95 Multilingual Information Retrieval |
Basic concepts -- Steady advection-reaction -- Unsteady first-order PDEs -- PDEs with diffusion -- Additional topics on pure diffusion -- Incompressible flows -- Friedhrichs' Systems -- Implementation.
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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