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Order of convergence of the finite element method for the p(x)-Laplacian
(Oxford University Press, 2014-02)
In this work, we study the rate of convergence of the finite element method for the p(x) Laplacian (1<p1≤p(x)≤p2≤2) in a bounded convex domain in R2.
Diagonal edge preconditioners in p-version and spectral element methods
(Siam PublicationsPhiladelphia, 1997)
Fully tensorial nodal and modal shape functions for triangles and tetrahedra
(John Wiley & Sons LtdChichesterInglaterra, 2005)
Systematic and generic construction of shape functions for p-adaptive meshes of multidimensional finite elements
(Elsevier Science SaLausanneSuíça, 2009)
A hierarchical finite element for composite laminated beams using a refined zigzag theory
(Elsevier, 2017-03)
In this work a kinematics for laminated beams enriched with a refined formulation ZigZag (RZT), originally presented by Tessler et al. in 2007, introduced in a hierarchical one dimensional type “p” finite element is ...
Interpolation in Jacobi-weighted spaces and its application to a posteriori error estimations of the p-version of the finite element method
(Elsevier Science, 2016-11)
The goal of this work is to introduce a local and a global interpolator in Jacobi-weighted spaces, with optimal order of approximation in the context of the p-version of finite element methods. Then, an a posteriori error ...