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» Convergence of an Adaptive Finite Element Method for Control...
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MOC
2002
128views more  MOC 2002»
13 years 4 months ago
Each averaging technique yields reliable a posteriori error control in FEM on unstructured grids. Part II: Higher order FEM
Averaging techniques are popular tools in adaptive finite element methods since they provide efficient a posteriori error estimates by a simple postprocessing. In the second paper ...
Sören Bartels, Carsten Carstensen
SIAMSC
2008
188views more  SIAMSC 2008»
13 years 4 months ago
Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
In this paper, we develop an error estimator and an adaptive algorithm for efficient solution of parabolic partial differential equations. The error estimator assesses the discreti...
Michael Schmich, Boris Vexler
ADCM
2011
12 years 11 months ago
Approximation properties of the Generalized Finite Element Method
In this paper, we have obtained an approximation result in the Generalized Finite Element Method (GFEM) that reflects the global approximation property of the Partition of Unity ...
C. Anitescu, U. Banerjee
JSCIC
2008
148views more  JSCIC 2008»
13 years 4 months ago
Finite Element-Based Level Set Methods for Higher Order Flows
In this paper we shall discuss the numerical simulation of higher order geometric flows by level set methods. Main examples under considerations are surface diffusion and the Will...
Martin Burger, Christina Stöcker, Axel Voigt
ISBI
2008
IEEE
14 years 5 months ago
Robust image registration based on a Partition of Unity Finite Element Method
In this paper, we present a robust, hierarchical Partition of Unity Finite Element Method (PUFEM) to compute the transformation between two images, which is represented by a non-r...
Laurent D. Cohen, Oudom Somphone, Shérif Ma...