<div class="csl-bib-body">
<div class="csl-entry">Angleitner, N., Faustmann, M., & Melenk, J. M. (2023). Exponential meshes and H-matrices. <i>Computers and Mathematics with Applications</i>, <i>130</i>, 21–40. https://doi.org/10.1016/j.camwa.2022.11.011</div>
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dc.identifier.issn
0898-1221
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/189455
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dc.description.abstract
In [1], we proved that the inverse of the stiffness matrix of an h-version finite element method (FEM) applied to scalar second order elliptic boundary value problems can be approximated at an exponential rate in the block rank by H-matrices. Here, we improve on this result in multiple ways: (1) The class of meshes is significantly enlarged and includes certain exponentially graded meshes. (2) The dependence on the polynomial degree p of the discrete ansatz space is made explicit in our analysis. (3) The bound for the approximation error is sharpened, and (4) the proof is simplified.