Pointwise a posteriori error analysis for an adaptive penalty finite element method for the obstacle problem.
French, Donald A., Larsson, Stig, Nochetto, Ricardo H. (2001)
Computational Methods in Applied Mathematics
Similarity:
Displaying similar documents to “-error estimate for a discrete two-sided obstacle problem and multilevel projective algorithm.”
Pointwise a posteriori error analysis for an adaptive penalty finite element method for the obstacle problem.
A comparison of some a posteriori error estimates for fourth order problems
Segeth, Karel
Similarity:
A lot of papers and books analyze analytical a posteriori error estimates from the point of view of robustness, guaranteed upper bounds, global efficiency, etc. At the same time, adaptive finite element methods have acquired the principal position among algorithms for solving differential problems in many physical and technical applications. In this survey contribution, we present and compare, from the viewpoint of adaptive computation, several recently published error estimation procedures...
Verification of functional a posteriori error estimates for obstacle problem in 2D
Petr Harasim, Jan Valdman (2014)
Kybernetika
Similarity:
We verify functional a posteriori error estimates proposed by S. Repin for a class of obstacle problems in two space dimensions. New benchmarks with known analytical solution are constructed based on one dimensional benchmark introduced by P. Harasim and J. Valdman. Numerical approximation of the solution of the obstacle problem is obtained by the finite element method using bilinear elements on a rectangular mesh. Error of the approximation is measured by a functional majorant. The...
Minimization of functional majorant in a posteriori error analysis based on (div) multigrid-preconditioned CG method.
Valdman, Jan (2009)
Advances in Numerical Analysis
Similarity:
Error Estimates in Renewal Theory
Stephen Wainger (1969-1970)
Séminaire de théorie des nombres de Bordeaux
Similarity:
Error estimates for the finite element solutions of variational inequalities
M. A. Noor, K. I. Noor (1983)
Annales Polonici Mathematici
Similarity:
Error Estimates for Miller's Algorithm.
A. van der Sluis, R.M.M. Mattheij (1976)
Numerische Mathematik
Similarity:
An extension on the a-posterior error analysis for the finite element method
Gabriel N. Gatica (1987)
Extracta Mathematicae
Similarity:
A Posteriori Error Estimates for Finite Volume Approximations
S. Cochez-Dhondt, S. Nicaise, S. Repin (2009)
Mathematical Modelling of Natural Phenomena
Similarity:
We present new a posteriori error estimates for the finite volume approximations of elliptic problems. They are obtained by applying functional a posteriori error estimates to natural extensions of the approximate solution and its flux computed by the finite volume method. The estimates give guaranteed upper bounds for the errors in terms of the primal (energy) norm, dual norm (for fluxes), and also in terms of the combined primal-dual norms. It is shown that the estimates provide sharp...