10 citations · 13 across the 4 of their papers we have counts for
7 papers
A~posteriori error analysis for optimization with PDE constraints
Fernando Gaspoz, Christian Kreuzer, Andreas Veeser +1
We consider finite element solutions to optimization problems, where the state depends on the possibly constrained control through a linear partial differential equation. Basing up…
Convergence of an adaptive -interior penalty Galerkin method for the biharmonic problem
Alexander Dominicus, Fernando Gaspoz, Christian Kreuzer
We develop a basic convergence analysis for an adaptive method for the Biharmonic problem, which provides convergence without rates for all practically r…
Quasi-best approximation in optimization with PDE constraints
Fernando Gaspoz, Christian Kreuzer, Andreas Veeser +1
We consider finite element solutions to quadratic optimization problems, where the state depends on the control via a well-posed linear partial differential equation. Exploiting th…
A Weak Compatibility Condition for Newest Vertex Bisection in any dimension
Martin Alkämper, Fernando Gaspoz, Robert Klöfkorn
We define a weak compatibility condition for the Newest Vertex Bisection algorithm on simplex grids of any dimension and show that using this condition the iterative algorithm term…
A convergent time-space adaptive dG(s) finite element method for parabolic problems motivated by equal error distribution
Fernando Gaspoz, Christian Kreuzer, Kunibert Siebert +1
We shall develop a fully discrete space-time adaptive method for linear parabolic problems based on new reliable and efficient a posteriori analysis for higher order dG(s) finite e…
A posteriori error estimates with point sources in fractional Sobolev spaces
Fernando D. Gaspoz, Pedro Morin, Andreas Veeser
We consider Poisson's equation with a finite number of weighted Dirac masses as a source term, together with its discretization by means of conforming finite elements. For the erro…
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…