000 02867nam a22005055i 4500
001 978-3-642-22980-0
003 DE-He213
005 20140220083300.0
007 cr nn 008mamaa
008 111102s2012 gw | s |||| 0|eng d
020 _a9783642229800
_9978-3-642-22980-0
024 7 _a10.1007/978-3-642-22980-0
_2doi
050 4 _aQA297-299.4
072 7 _aPBKS
_2bicssc
072 7 _aMAT021000
_2bisacsh
072 7 _aMAT006000
_2bisacsh
082 0 4 _a518
_223
100 1 _aDi Pietro, Daniele Antonio.
_eauthor.
245 1 0 _aMathematical Aspects of Discontinuous Galerkin Methods
_h[electronic resource] /
_cby Daniele Antonio Di Pietro, Alexandre Ern.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2012.
300 _aXVII, 384p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathématiques et Applications,
_x1154-483X ;
_v69
505 0 _aBasic concepts -- Steady advection-reaction -- Unsteady first-order PDEs -- PDEs with diffusion -- Additional topics on pure diffusion -- Incompressible flows -- Friedhrichs' Systems -- Implementation.
520 _aThis 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.
650 0 _aMathematics.
650 0 _aComputer science
_xMathematics.
650 0 _aNumerical analysis.
650 0 _aEngineering mathematics.
650 1 4 _aMathematics.
650 2 4 _aNumerical Analysis.
650 2 4 _aComputational Mathematics and Numerical Analysis.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
700 1 _aErn, Alexandre.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642229794
830 0 _aMathématiques et Applications,
_x1154-483X ;
_v69
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-22980-0
912 _aZDB-2-SMA
999 _c102109
_d102109