Low Order Discontinuous Galerkin Methods for Second Order Elliptic Problems
暂无分享,去创建一个
[1] Chi-Wang Shu,et al. The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems , 1998 .
[2] Benjamin Stamm,et al. Symmetric and non-symmetric discontinuous Galerkin methods stabilized using bubble enrichment , 2008 .
[3] Benjamin Stamm,et al. Minimal Stabilization for Discontinuous Galerkin Finite Element Methods for Hyperbolic Problems , 2007, J. Sci. Comput..
[4] Mats G. Larson,et al. Analysis of a Nonsymmetric Discontinuous Galerkin Method for Elliptic Problems: Stability and Energy Error Estimates , 2004, SIAM J. Numer. Anal..
[5] Mary F. Wheeler,et al. A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems , 2001, SIAM J. Numer. Anal..
[6] G. A. Baker. Finite element methods for elliptic equations using nonconforming elements , 1977 .
[7] Serge Prudhomme,et al. A Priori error analyses of a stabilized discontinuous Galerkin method , 2003 .
[8] Paola F. Antonietti,et al. Bubble stabilization of Discontinuous Galerkin methods , 2009 .
[9] R. Temam. Navier-Stokes Equations , 1977 .
[10] L. R. Scott,et al. The Mathematical Theory of Finite Element Methods , 1994 .
[11] J. Guermond,et al. Theory and practice of finite elements , 2004 .
[12] Susanne C. Brenner,et al. Poincaré-Friedrichs Inequalities for Piecewise H1 Functions , 2003, SIAM J. Numer. Anal..
[13] Daniele Marazzina,et al. Mixed Discontinuous Galerkin Methods with Minimal Stabilization , 2006 .
[14] D. Arnold. An Interior Penalty Finite Element Method with Discontinuous Elements , 1982 .
[15] S. C. Brenner,et al. POINCAR´ E-FRIEDRICHS INEQUALITIES FOR PIECEWISE H 1 FUNCTIONS ∗ , 2003 .
[16] J. Peiro,et al. On 2D elliptic discontinuous Galerkin methods , 2006 .
[17] Ilaria Perugia,et al. An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems , 2000, SIAM J. Numer. Anal..
[18] Mats G. Larson,et al. Analysis of a family of discontinuous Galerkin methods for elliptic problems: the one dimensional case , 2004, Numerische Mathematik.
[19] Jean-Luc Guermond,et al. Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory , 2006, SIAM J. Numer. Anal..
[20] J. Douglas,et al. Interior Penalty Procedures for Elliptic and Parabolic Galerkin Methods , 1976 .
[21] P. Raviart,et al. Conforming and nonconforming finite element methods for solving the stationary Stokes equations I , 1973 .
[22] S. Rebay,et al. A High-Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the Compressible Navier-Stokes Equations , 1997 .
[23] I. Babuska,et al. A DiscontinuoushpFinite Element Method for Diffusion Problems , 1998 .
[24] R. Temam,et al. Navier-Stokes equations: theory and numerical analysis: R. Teman North-Holland, Amsterdam and New York. 1977. 454 pp. US $45.00 , 1978 .
[25] M. Wheeler. An Elliptic Collocation-Finite Element Method with Interior Penalties , 1978 .
[26] L. D. Marini,et al. Stabilization mechanisms in discontinuous Galerkin finite element methods , 2006 .