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MOC
2002
128views more  MOC 2002»
13 years 11 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 11 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 11 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 11 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 11 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 11 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
14 years 5 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