Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Subject "Elliptic problems"
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Article
Comparison of two methods for the computation of singular solutions in elliptic problems
(1997)We compare two numerical methods for the solution of elliptic problems with boundary singularities. The first is the integrated singular basis function method (ISBFM), a finite-element method in which the solution is ...
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Article
Spectral stability estimates for the Dirichlet and Neumann Laplacian in rough domains
(2013)In this paper we establish new quantitative stability estimates with respect to domain perturbations for all the eigenvalues of both the Neumann and the Dirichlet Laplacian. Our main results follow from an abstract lemma ...