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MOC
2002
128views more  MOC 2002»
13 years 5 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
MOC
2000
88views more  MOC 2000»
13 years 5 months ago
A posteriori error estimation for variational problems with uniformly convex functionals
The objective of this paper is to introduce a general scheme for deriving a posteriori error estimates by using duality theory of the calculus of variations. We consider variationa...
Sergey I. Repin
MOC
2000
109views more  MOC 2000»
13 years 5 months ago
A posteriori error estimation and adaptivity for degenerate parabolic problems
Abstract. Two explicit error representation formulas are derived for degenerate parabolic PDEs, which are based on evaluating a parabolic residual in negative norms. The resulting ...
Ricardo H. Nochetto, Alfred Schmidt, C. Verdi
MOC
2000
67views more  MOC 2000»
13 years 5 months ago
A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions
In this paper we shall derive a posteriori error estimates in the L1-norm for upwind finite volume schemes for the discretization of nonlinear conservation laws on unstructured gri...
Dietmar Kröner, Mario Ohlberger
APPML
2005
101views more  APPML 2005»
13 years 5 months ago
A posteriori discontinuous Galerkin error estimates for transient convection-diffusion equations
A posteriori error estimates are derived for unsteady convection-diffusion equations discretized with the non-symmetric interior penalty and the local discontinuous Galerkin metho...
Alexandre Ern, Jennifer Proft
JSCIC
2008
98views more  JSCIC 2008»
13 years 5 months ago
A Posteriori Error Estimates for Parabolic Variational Inequalities
We study a posteriori error estimates in the energy norm for some parabolic obstacle problems discretized with a Euler implicit time scheme combined with a finite element spatial ...
Yves Achdou, Frédéric Hecht, David P...
ISBI
2007
IEEE
13 years 11 months ago
A Posteriori Error Estimation in Biomedical Imaging
We present an adaptive hybrid FEM/FDM method for an inverse scattering problem in scanning acoustic microscopy with a special focus on new application in medical imaging. The prob...
Larisa Beilina