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]
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Displaying similar documents to “Accumulation of global error in Lie group methods for linear ordinary differential equations.”
Local error estimates and adaptive refinement for first-order system least squares (FOSLS).
On the accuracy of multigrid truncation error estimates.
Fulton, Scott R. (2003)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Space adaptive finite element methods for dynamic obstacle problems.
Blum, Heribert, Rademacher, Andreas, Schröder, Andreas (2008)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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On a posteriori error estimators in the infinite element method on anisotropic meshes.
Dobrowolski, Manfred, Gräf, Steffen, Pflaum, Christoph (1999)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Minimization of functional majorant in a posteriori error analysis based on (div) multigrid-preconditioned CG method.
Valdman, Jan (2009)
Advances in Numerical Analysis
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A comparison of some a posteriori error estimates for fourth order problems
Segeth, Karel
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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...
A posteriori error control for the Allen–Cahn problem : circumventing Gronwall’s inequality
Daniel Kessler, Ricardo H. Nochetto, Alfred Schmidt (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Phase-field models, the simplest of which is Allen–Cahn’s problem, are characterized by a small parameter that dictates the interface thickness. These models naturally call for mesh adaptation techniques, which rely on a posteriori error control. However, their error analysis usually deals with the underlying non-monotone nonlinearity via a Gronwall argument which leads to an exponential dependence on . Using an energy argument combined with a topological continuation argument and...
A posteriori error estimation and adaptivity in the method of lines with mixed finite elements
Jan Brandts (1999)
Applications of Mathematics
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We will investigate the possibility to use superconvergence results for the mixed finite element discretizations of some time-dependent partial differential equations in the construction of a posteriori error estimators. Since essentially the same approach can be followed in two space dimensions, we will, for simplicity, consider a model problem in one space dimension.