4 citations · 10 across the 8 of their papers we have counts for
8 papers
Local power of approximation in hierarchical spline spaces on weakly admissible meshes
Gustavo A. Fernandez Lezcano, Eduardo M. Garau, Bárbara Ivaniszyn
We study local approximation properties in hierarchical spline spaces through a twofold approach. First, we design and analyze a robust adaptive refinement algorithm to construct l…
Left Inverses for B-spline Subdivision Matrices in Tensor-Product Spaces
Marcelo Actis, Silvano Figueroa, Eduardo M. Garau
In this article, we study dyadic coarsening operators in univariate spline spaces and in tensor-product spline spaces over uniform grids. Our construction is strongly motivated by…
Error analysis for local coarsening in univariate spline spaces
Silvano Figueroa, Eduardo M. Garau, Pedro Morin
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…
A posteriori error estimators for hierarchical B-spline discretizations
Annalisa Buffa, Eduardo M. Garau
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 Gal…
New refinable spaces and local approximation estimates for hierarchical splines
Annalisa Buffa, Eduardo M. Garau
We study the local approximation properties in hierarchical spline spaces through multiscale quasi-interpolation operators. This construction suggests the analysis of a subspace of…
Quasi-optimal convergence rate of an AFEM for quasi-linear problems
Eduardo M. Garau, Pedro Morin, Carlos Zuppa
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…
Convergence of an adaptive Kačanov FEM for quasi-linear problems
Eduardo M. Garau, Pedro Morin, Carlos Zuppa
We design an adaptive finite element method to approximate the solutions of quasi-linear elliptic problems. The algorithm is based on a Kačanov iteration and a mesh adaptation step…
Convergence of adaptive finite element methods for eigenvalue problems
Eduardo M. Garau, Pedro Morin, Carlos Zuppa
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…