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A posteriori error estimates for non-conforming approximation of eigenvalue problems
(Elsevier Science, 2012-05)
We consider the approximation of eigenvalue problem for the Laplacian by the Crouzeix– Raviart non-conforming finite elements in two and three dimensions. Extending known techniques for source problems, we introduce a ...
A posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem
(Elsevier Science, 2014-10)
In this paper we obtain a priori and a posteriori error estimates for stabilized low-order mixed finite element methods for the Stokes eigenvalue problem. We prove the convergence of the method and a priori error estimates ...
A Posteriori Error Estimators for Hierarchical B-Spline Discretizations
(World Scientific, 2018-07)
In this paper we develop function-based a posteriori error estimators for the solution of linear second order elliptic problems considering hierarchical spline spaces for the Galerkin discretization. We obtain a global ...
Local problems on stars: A posteriori error estimators, convergence, and performance
(American Mathematical Society, 2003-07)
A new computable a posteriori error estimator is introduced, which relies on the solution of small discrete problems on stars. It exhibits built-in flux equilibration and is equivalent to the energy error up to data ...
A posteriori error estimates for elliptic problems with Dirac measure terms in weighted spaces
(2014)
In this article we develop a posteriori error estimates for second order linear elliptic problems with point sources in two- and three-dimensional domains. We prove a global upper bound and a local lower bound for the error ...
A posteriori error estimates for elliptic problems with Dirac measure terms in weighted spaces
(Edp Sciences, 2014-02)
In this article we develop a posteriori error estimates for second order linear elliptic problems with point sources in two- and three-dimensional domains. We prove a global upper bound and a local lower bound for the error ...