The symmetric discontinuous Galerkin method does not need stabilization in 1D for polynomial orders

Comptes Rendus Mathematique - Tập 345 - Trang 599-602 - 2007
Erik Burman1, Alexandre Ern2, Igor Mozolevski2,3, Benjamin Stamm1
1IACS/CMCS, Station 8, École polytechnique fédérale de Lausanne, CH 1015, Lausanne, Switzerland
2CERMICS, École des ponts, Université Paris-Est, 6 & 8, avenue Blaise-Pascal, 77455 Marne-la-Vallée cedex 2, France
3Mathematics Department, Federal University of Santa Catarina, SC, 88040-900, Florianópolis, Brazil

Tài liệu tham khảo

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E. Burman, B. Stamm, Low order discontinuous Galerkin methods for second order elliptic problems, Technical Report 04-2007, EPFL-IACS, 2007

Ern, 2006, Discontinuous Galerkin methods for Friedrichs' systems. I. General theory, SIAM J. Numer. Anal., 44, 753, 10.1137/050624133

Larson, 2004, Analysis of a family of discontinuous Galerkin methods for elliptic problems: the one dimensional case, Numer. Math., 99, 113, 10.1007/s00211-004-0528-7

Larson, 2004, Analysis of a nonsymmetric discontinuous Galerkin method for elliptic problems: stability and energy error estimates, SIAM J. Numer. Anal., 42, 252, 10.1137/S0036142902413160

Oden, 1998, A discontinuous hp finite element method for diffusion problems, J. Comput. Phys., 146, 491, 10.1006/jcph.1998.6032

Rivière, 2001, A priori error estimates for finite element methods based on discontinuous approximation spaces for elliptic problems, SIAM J. Numer. Anal., 39, 902, 10.1137/S003614290037174X

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Comptes Rendus Mathematique

Tập 345

599-602

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