DISCONTINUOUS GALERKIN FINITE ELEMENT METHODS FOR INTERFACE PROBLEMS: A PRIORI AND A POSTERIORI ERROR ESTIMATIONS

Discontinuous Galerkin (DG) finite element methods were studied by many researchers for second-order elliptic partial differential equations, and a priori error estimates were established when the solution of the underlying problem is piecewise H 3/2+є smooth with є > 0. However, elliptic interfa...

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Veröffentlicht in:	SIAM journal on numerical analysis 2011-01, Vol.49 (5/6), p.1761-1787
Hauptverfasser:	CAI, ZHIQIANG, YE, XIU, ZHANG, SHUN
Format:	Artikel
Sprache:	eng
Schlagworte:	A posteriori knowledge A priori knowledge Applied mathematics Approximation Cauchy Schwarz inequality Error rates Estimation methods Estimators Finite element method Interfaces Mathematical discontinuity Mathematics Methods
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