Isotropic and anisotropic a posteriori error estimation of the mixed finite element method for second order operators in divergence form.
Displaying 321 – 340 of 597
Iterative refinement of finite element approximations for elliptic problems
Lin Qun (1982)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
-error estimates for Dirichlet and Neumann problems on anisotropic finite element meshes
Thomas Apel, Dieter Sirch (2011)
Applications of Mathematics
An -estimate of the finite element error is proved for a Dirichlet and a Neumann boundary value problem on a three-dimensional, prismatic and non-convex domain that is discretized by an anisotropic tetrahedral mesh. To this end, an approximation error estimate for an interpolation operator that is preserving the Dirichlet boundary conditions is given. The challenge for the Neumann problem is the proof of a local interpolation error estimate for functions from a weighted Sobolev space.
-convergence of finite element Galerkin approximations for parabolic problems
Joachim A. Nitsche (1979)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
-convergence of saddle-point approximations for second order problems
Reinhard Scholz (1977)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
-error estimate for a system of elliptic quasivariational inequalities.
Boulbrachene, M., Haiour, M., Saadi, S. (2003)
International Journal of Mathematics and Mathematical Sciences
-error estimates for a class of semilinear elliptic variational inequalities and quasi-variational inequalities.
Boulbrachene, M., Cortey-Dumont, P., Miellou, J.C. (2001)
International Journal of Mathematics and Mathematical Sciences
-error estimates for variational inequalities with Hölder continuous obstacle
Stefano Finzi Vita (1982)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
L... Stability of Finite Element Approximations to Elliptic Gradient Equations.
Joseph W. Jerome, Th. Kerkhoven (1990)
Numerische Mathematik
L2 Estimates for the Finite Element Method for the Dirichlet Problem with Singular Data.
Eduardo Casas (1985)
Numerische Mathematik
Lagrange multipliers for higher order elliptic operators
Carlos Zuppa (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
In this paper, the Babuška’s theory of Lagrange multipliers is extended to higher order elliptic Dirichlet problems. The resulting variational formulation provides an efficient numerical squeme in meshless methods for the approximation of elliptic problems with essential boundary conditions.
Lagrange multipliers for higher order elliptic operators
Carlos Zuppa (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
In this paper, the Babuška's theory of Lagrange multipliers is extended to higher order elliptic Dirichlet problems. The resulting variational formulation provides an efficient numerical squeme in meshless methods for the approximation of elliptic problems with essential boundary conditions.
Legendre and Chebyshev Spectral Approximations of Burger's Equation.
Y. Maday, A. Quarteroni (1981)
Numerische Mathematik
Local error estimates and adaptive refinement for first-order system least squares (FOSLS).
Berndt, Markus, Manteuffel, Thomas A., McCormick, Stephen F. (1997)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Local error estimates for finite element discretization of the Stokes equations
Douglas N. Arnold, Liu Xiaobo (1995)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Maximum norm error estimates in the finite element method with isoparametric quadratic elements and numerical integration
L. B. Wahlbin (1978)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Maximum-Norm Stability and Error Estimates in Galerkin Methods for Parabolic Equations in One Space Variable
V. Thomée, L.B. Wahlbin (1983)
Numerische Mathematik
Mesh Refinement For Stabilized Convection Diffusion Equations
B. Achchab, M. El Fatini, A. Souissi (2010)
Mathematical Modelling of Natural Phenomena
We derive a residual a posteriori error estimates for the subscales stabilization of convection diffusion equation. The estimator yields upper bound on the error which is global and lower bound that is local
Méthodes d'éléments finis avec intégration numérique pour des problèmes elliptiques du quatrième ordre
M. Bernadou, Y. Ducatel (1978)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Mimetic finite differences for elliptic problems
Franco Brezzi, Annalisa Buffa, Konstantin Lipnikov (2009)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
We developed a mimetic finite difference method for solving elliptic equations with tensor coefficients on polyhedral meshes. The first-order convergence estimates in a mesh-dependent norm are derived.