Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Subject "Elliptic partial differential equations"
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Article
An analytical method for linear elliptic PDEs and its numerical implementation
(2004)A new numerical method for solving linear elliptic boundary value problems with constant coefficients in a polygonal domain is introduced. This method produces a generalized Dirichlet-Neumann map: given the derivative of ...
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Article
Approximation by solutions of elliptic equations in semilocal spaces
(2009)In the present work, we investigate the approximability of solutions of elliptic partial differential equations in a bounded domain Ω by solutions of the same equations in a larger domain. We construct an abstract framework ...
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Article
Density results with linear combinations of translates of fundamental solutions
(2009)In the present work, we investigate the approximability of solutions of elliptic partial differential equations in a bounded domain Ω by linear combinations of translates of fundamental solutions of the underlying partial ...