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On the Construction of a Finite Siegel Space
(Heldermann Verlag, 2015)
We construct a finite analogue of classical Siegel's Space. This is made by generalizing Poincare half plane construction for a quadratic field extension E superset of F, considering in this case an involutive ring A, ...
A stronger reformulation of Webb's conjecture in terms of finite topological spaces
(Academic Press Inc Elsevier Science, 2019-06)
We investigate a stronger formulation of Webb's conjecture on the contractibility of the orbit space of the p-subgroup complexes in terms of finite topological spaces. The original conjecture, which was first proved by ...
Discrete generator coordinate: Symmetry restoration in finite-dimensional spaces
(1999-12-01)
Group theoretical-based techniques and fundamental results from number theory are used in order to allow for the construction of exact projectors in finite-dimensional spaces. These operators are shown to make use only of ...
Discrete generator coordinate: Symmetry restoration in finite-dimensional spaces
(1999-12-01)
Group theoretical-based techniques and fundamental results from number theory are used in order to allow for the construction of exact projectors in finite-dimensional spaces. These operators are shown to make use only of ...
Space-time least-squares finite elements for parabolic equations
(2021)
We present a space-time least-squares finite element method for the heat equation. It is based on residual minimization in L-2 norms in space-time of an equivalent first order system. This implies that (i) the resulting ...
A new procedure for the construction of hierarchical high order Hdiv and Hcurl finite element spaces
(Elsevier Science BvAmsterdamHolanda, 2013)
Poset splitting and minimality of finite models
(Academic Press Inc Elsevier Science, 2018-07)
We prove that the fundamental group and the integral homology groups of a poset with fewer than 13 points are torsion free, settling a conjecture of Hardie, Vermeulen and Witbooi and answering a question of Barmak. In ...
On the construction of a finite Siegel space
(Heldermann Verlag, 2015-11)
We construct a finite analogue of classical Siegel’s Space. This is made by
generalizing Poincar´e half plane construction for a quadratic field extension
E ⊃ F, considering in this case an involutive ring A, extension ...
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 ...
Approximation classes for adaptive higher order finite element approximation
(Amer Mathematical Soc, 2014-07)
We provide an almost characterization of the approximation classes appearing when using adaptive finite elements of Lagrange type of any fixed polynomial degree. The characterization is stated in terms of Besov regularity, ...