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Correction to: finite element approximation of the spectrum of the curl operator in a multiply connected domain
(Foundations of computational mathematics, 2020)
Finite element approximations in a non-lipschitz domain: part II
(American Mathematical Society, 2011-09)
In a paper by R. Dur ́ an, A. Lombardi, and the authors (2007) the finite element method was applied to a non-homogeneous Neumann problem on a cuspidal domain Ω ⊂ R 2 , and quasi-optimal order error estimates in the energy ...
An hp finite element adaptive scheme to solve the Poisson problem on curved domains
(Springer, 2015-07)
In this work, we introduce an hp finite element method for two-dimensional Poisson problems on curved domains using curved elements. We obtain a priori error estimates and define a local a posteriori error estimator of ...
A Dirichlet-to-Neumann finite element method for axisymmetric elastostatics in a semi-infinite domain
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2017)
The Dirichlet-to-Neumann finite element method (DtN FEM) has proven to be a powerful numerical approach to solve boundary-value problems formulated in exterior domains. However, its application to elastic semi-infinite ...
Finite-element analysis of photonic crystal cavities: Time and frequency domains
(Ieee-inst Electrical Electronics Engineers IncPiscatawayEUA, 2005)
Interpolation estimate for a finite-element space with embedded discontinuities
(Oxford University PressOxford, 2012)
We consider a recently proposed finite-element space that consists of piecewise affine functions with discontinuities across a smooth given interface Γ (a curve in two dimensions, a surface in three dimensions). Contrary ...
Time-domain full-band method using orthogonal edge basis functions
(Ieee-inst Electrical Electronics Engineers IncPiscatawayEUA, 2006)