145 citations · 506 across the 57 of their papers we have counts for
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Discrete Total Variation Flows Without Regularization
Ricardo H. Nochetto, Soeren Bartels, Abner J. Salgado
We propose and analyze an algorithm for the solution of the -subgradient flow of the total variation functional. The algorithm involves no regularization, thus the numerical s…
A Total Variation Diminishing Interpolation Operator and Applications
Ricardo H. Nochetto, Abner J. Salgado
We construct, on continuous finite elements over Cartesian meshes, an interpolation operator that does not increase the total variation. The operator is stable in and e…
A Note on the Ladyzenskaja-Babuska-Brezzi Condition
Abner J. Salgado, Johnny Guzman, Francisco-Javier Sayas
The analysis of finite-element-like Galerkin discretization techniques for the stationary Stokes problem relies on the so-called LBB condition. In this work we discuss equivalent f…