Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Garau, Eduardo M."'
In this article we analyze the error produced by the removal of an arbitrary knot from a spline function. When a knot has multiplicity greater than one, this implies a reduction of its multiplicity by one unit. In particular, we deduce a very simple
Externí odkaz:
http://arxiv.org/abs/2309.03176
Publikováno v:
In Applied Mathematics and Computation 1 July 2024 472
Autor:
Buffa, Annalisa, Garau, Eduardo M.
In this article we develop function-based a posteriori error estimators for the solution of linear second order elliptic problems considering hierarchical spline spaces for the Galerkin discretization. We prove a global upper bound for the energy err
Externí odkaz:
http://arxiv.org/abs/1611.07816
Autor:
Buffa, Annalisa, Garau, Eduardo M.
We study the local approximation properties in hierarchical spline spaces through multiscale quasi-interpolation operators. This construction suggests the analysis of a subspace of the classical hierarchical spline space (Vuong et al., 2011) which st
Externí odkaz:
http://arxiv.org/abs/1507.06534
We prove the quasi-optimal convergence of a standard adaptive finite element method (AFEM) for nonlinear elliptic second-order equations of monotone type. The adaptive algorithm is based on residual-type a posteriori error estimators and D\"orfler's
Externí odkaz:
http://arxiv.org/abs/1010.1251
We design an adaptive finite element method to approximate the solutions of quasi-linear elliptic problems. The algorithm is based on a Ka\v{c}anov iteration and a mesh adaptation step is performed after each linear solve. The method is thus \emph{in
Externí odkaz:
http://arxiv.org/abs/1006.3319
In this article we prove convergence of adaptive finite element methods for second order elliptic eigenvalue problems. We consider Lagrange finite elements of any degree and prove convergence for simple as well as multiple eigenvalues under a minimal
Externí odkaz:
http://arxiv.org/abs/0803.0365
Autor:
Garau, Eduardo M.1 egarau@santafe-conicet.gov.ar, Morin, Pedro1
Publikováno v:
Numerical Methods for Partial Differential Equations. Jul2017, Vol. 33 Issue 4, p1266-1282. 17p.
Autor:
Buffa, Annalisa, Garau, Eduardo M.
In this article we develop function-based a posteriori error estimators for the solution of linear second order elliptic problems considering hierarchical spline spaces for the Galerkin discretization. We prove a global upper bound for the energy err
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c2556e8e9d1285a5d8e0eaec5d834a5
Publikováno v:
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN). Nov2014, Vol. 48 Issue 6, p1557-1581. 25p.