Abstract
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.
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© 2015 Springer International Publishing Switzerland
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Horger, T., Huber, M., Rüde, U., Waluga, C., Wohlmuth, B. (2015). Energy-Corrected Finite Element Methods for Scalar Elliptic Problems. In: Abdulle, A., Deparis, S., Kressner, D., Nobile, F., Picasso, M. (eds) Numerical Mathematics and Advanced Applications - ENUMATH 2013. Lecture Notes in Computational Science and Engineering, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-319-10705-9_2
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DOI: https://doi.org/10.1007/978-3-319-10705-9_2
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10704-2
Online ISBN: 978-3-319-10705-9
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