Energy-Corrected Finite Element Methods for Scalar Elliptic Problems
In this work, we consider the finite element solution of several scalar elliptic problems with singularities in two dimensions.We outline recent theoretical developments in energy corrected approaches and demonstrate numerically that by local and easy to implement modifications of the discrete operators, optimal convergence orders in weighted Sobolev norms can be recovered.
KeywordsStress Intensity Factor Multigrid Method Correction Parameter Singular Function Singular Component
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