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A MANIFOLD OF PLANAR TRIANGULAR MESHES WITH COMPLETE RIEMANNIAN METRIC
ArticleAbstract: We are indebted to Christian Lehn (TU Chemnitz) for helpful discussions on simplicial complexes. WePalabras claves:Autores:Estefanía Loayza-Romero, Herzog R.Fuentes:scopusFirst and second order shape optimization based on restricted mesh deformations
ArticleAbstract: We consider shape optimization problems subject to elliptic partial differential equations. In the cPalabras claves:Restricted mesh deformations, Shape gradient descent, Shape Newton method, Shape optimizationAutores:Estefanía Loayza-Romero, Etling T., Herzog R., Wachsmuth G.Fuentes:scopusSecond-order orthant-based methods with enriched Hessian information for sparse ℓ<inf>1</inf> -optimization
ArticleAbstract: We present a second order algorithm, based on orthantwise directions, for solving optimization problPalabras claves:Orthantwise directions, Second-order algorithms, semismooth Newton methods, Sparse optimizationAutores:Estefanía Loayza-Romero, Juan Carlos De Los Reyes, Pedro MerinoFuentes:scopusStochastic approximation for optimization in shape spaces
ArticleAbstract: In this work, we present a novel approach for solving stochastic shape optimization problems. Our mePalabras claves:Interface identification, PDE-constrained optimization under uncertainty, Shape optimization, Stochastic approximation, Stochastic gradient methodAutores:Estefanía Loayza-Romero, Geiersbach C., Welker K.Fuentes:scopusTotal generalized variation regularization in data assimilation for burgers’ equation
ArticleAbstract: We propose a second–order total generalized variation (TGV) regularization for the reconstruction ofPalabras claves:Data assimilation, Inviscid Burgers’ equation, Primal-dual methods, Second-order methodsAutores:Estefanía Loayza-Romero, Juan Carlos De Los ReyesFuentes:scopus