<div class="csl-bib-body">
<div class="csl-entry">Faustmann, M., Karkulik, M., & Melenk, J. M. (2022). Local Convergence of the FEM for the Integral Fractional Laplacian. <i>SIAM Journal on Numerical Analysis</i>, <i>60</i>(3), 1055–1082. https://doi.org/10.1137/20M1343853</div>
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dc.identifier.issn
0036-1429
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/139292
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dc.description.abstract
For first-order discretizations of the integral fractional Laplacian, we provide sharp local error estimates on proper subdomains in both the local 𝐻¹-norm and the localized energy norm. Our estimates have the form of a local best approximation error plus a global error measured in a weaker norm.
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dc.description.sponsorship
Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
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dc.language.iso
en
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dc.publisher
SIAM PUBLICATIONS
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dc.relation.ispartof
SIAM Journal on Numerical Analysis
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dc.subject
finite element method
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dc.subject
fractional Laplacian
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dc.subject
local estimates
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dc.subject
applied mathematics
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dc.subject
computational mathematics
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dc.subject
numerical analysis
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dc.title
Local Convergence of the FEM for the Integral Fractional Laplacian
