Energy-Corrected Finite Element Methods for Scalar Elliptic Problems [chapter]

Thomas Horger, Markus Huber, Ulrich Rüde, Christia Waluga, Barbara Wohlmuth
2014 Lecture Notes in Computational Science and Engineering  
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.
doi:10.1007/978-3-319-10705-9_2 fatcat:hnmp5q5szjcjxmdvlsrmcvzriy