A weakly over-penalized symmetric interior penalty method for the biharmonic problem.
Brenner, Susanne C., Gudi, Thirupathi, Sung, Li-Yeng (2010)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Displaying similar documents to “Some nonstandard finite element estimates with applications to Poisson and Signorini problems.”
A weakly over-penalized symmetric interior penalty method for the biharmonic problem.
A two-level discretization method for the stationary MHD equations.
Layton, W.J., Meir, A.J., Schmidt, P.G. (1997)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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New quadrilateral mixed finite elements.
Hyon, Yunkyong, Kwak, Do Y. (2010)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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A multigrid method for saddle point problems arising from mortar finite element discretizations.
Wohlmuth, Barbara I. (2000)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Analysis of a non-standard finite element method based on boundary integral operators.
Hofreither, Clemens, Langer, Ulrich, Pechstein, Clemens (2010)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Remarks on the Ciarlet-Raviart mixed finite element.
Yang, Y.D., Gao, J.B. (1996)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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A posteriori error estimates for the D stabilized Mortar finite element method applied to the Laplace equation
Zakaria Belhachmi (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We consider a non-conforming stabilized domain decomposition technique for the discretization of the three-dimensional Laplace equation. The aim is to extend the numerical analysis of residual error indicators to this model problem. Two formulations of the problem are considered and the error estimators are studied for both. In the first one, the error estimator provides upper and lower bounds for the energy norm of the mortar finite element solution whereas in the second case, it also...
New mixed finite volume methods for second order eliptic problems
Kwang Y. Kim (2006)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper we introduce and analyze new mixed finite volume methods for second order elliptic problems which are based on (div)- approximations for the vector variable and approximations for the scalar variable. The discretization is fulfilled by combining the ideas of the traditional finite volume box method and the local discontinuous Galerkin method. We propose two different types of methods, called Methods I and II, and show that they have distinct advantages over the mixed...
Mixed discontinuous Galerkin approximation of the Maxwell operator : the indefinite case
Paul Houston, Ilaria Perugia, Anna Schneebeli, Dominik Schötzau (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We present and analyze an interior penalty method for the numerical discretization of the indefinite time-harmonic Maxwell equations in mixed form. The method is based on the mixed discretization of the curl-curl operator developed in [Houston et al., J. Sci. Comp. 22 (2005) 325–356] and can be understood as a non-stabilized variant of the approach proposed in [Perugia et al., Comput. Methods Appl. Mech. Engrg. 191 (2002) 4675–4697]. We show the well-posedness of this approach and derive...
Spectral approximation of variationally formulated eigenvalue problems on curved domains.
Alonso, Ana, Russo, Anahí Dello (2009)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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A gradient recovery operator based on an oblique projection.
Lamichhane, Bishnu P. (2010)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Postprocessing of a finite volume element method for semilinear parabolic problems
Min Yang, Chunjia Bi, Jiangguo Liu (2009)
ESAIM: Mathematical Modelling and Numerical Analysis
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In this paper, we study a postprocessing procedure for improving accuracy of the finite volume element approximations of semilinear parabolic problems. The procedure amounts to solve a source problem on a coarser grid and then solve a linear elliptic problem on a finer grid after the time evolution is finished. We derive error estimates in the and norms for the standard finite volume element scheme and an improved error estimate in the ...