2 citations · 2 across the 4 of their papers we have counts for
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Computational Aspects for Interface Identification Problems with Stochastic Modelling
Caroline Geiersbach, Estefania Loayza, Kathrin Welker
In this paper, a shape optimization problem constrained by a random elliptic partial differential equation with a pure Neumann boundary is presented. The model is motivated by appl…
First and Second Order Shape Optimization based on Restricted Mesh Deformations
Tommy Etling, Roland Herzog, Estefanía Loayza +1
We consider shape optimization problems subject to elliptic partial differential equations. In the context of the finite element method, the geometry to be optimized is represented…
Total Generalized Variation Regularization in Variational Data Assimilation for Burgers' Equation
J. C. De los Reyes, E. Loayza
We propose a second-order total generalized variation (TGV) regularization for the reconstruction of the initial condition in variational data assimilation problems. After showing…
Second-order orthant-based methods with enriched Hessian information for sparse -optimization
J. C. De los Reyes, E. Loayza, P. Merino
We present a second order algorithm, based on orthantwise directions, for solving optimization problems involving the sparsity enhancing -norm. The main idea of our method…