4 citations · 7 across the 8 of their papers we have counts for
4 papers · 1 filter
On convex functions and the finite element method
Néstor Aguilera, Pedro Morin
Many problems of theoretical and practical interest involve finding a convex or concave function. For instance, optimization problems such as finding the projection on the convex f…
Approximating optimization problems over convex functions
Néstor E. Aguilera, Pedro Morin
Many problems of theoretical and practical interest involve finding an optimum over a family of convex functions. For instance, finding the projection on the convex functions in $H…
Convergence rates for adaptive finite elements
Fernando D. Gaspoz, Pedro Morin
In this article we prove that it is possible to construct, using newest-vertex bisection, meshes that equidistribute the error in -norm, whenever the function to approximate c…
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…