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Journal Article

Energy-corrected finite element methods for scalar elliptic problems

Lecture Notes in Computational Science and Engineering (2015) 103 19-36
DOI: 10.1007/978-3-319-10705-9_2
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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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Horger, T., Huber, M., Rüde, U., Waluga, C., & Wohlmuth, B. (2015). Energy-corrected finite element methods for scalar elliptic problems. Lecture Notes in Computational Science and Engineering, 103, 19–36. https://doi.org/10.1007/978-3-319-10705-9_2

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