145 citations · 609 across the 61 of their papers we have counts for
6 papers · 2 filters
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…
Two-step greedy algorithm for reduced order quadratures
Harbir Antil, Scott E. Field, Frank Herrmann +2
We present an algorithm to generate application-specific, global reduced order quadratures (ROQ) for multiple fast evaluations of weighted inner products between parameterized func…
Contraction and optimality properties of adaptive Legendre-Galerkin methods: the 1-dimensional case
Claudio Canuto, Ricardo H. Nochetto, Marco Verani
As a first step towards a mathematically rigorous understanding of adaptive spectral/ discretizations of elliptic boundary-value problems, we study the performance of adaptive…
A posteriori error estimates for the Electric Field Integral Equation on polyhedra
Ricardo H. Nochetto, Benjamin Stamm
We present a residual-based a posteriori error estimate for the Electric Field Integral Equation (EFIE) on a bounded polyhedron. The EFIE is a variational equation formulated in a…
Adaptive Fourier-Galerkin Methods
Claudio Canuto, Ricardo H. Nochetto, Marco Verani
We study the performance of adaptive Fourier-Galerkin methods in a periodic box in with dimension . These methods offer unlimited approximation power only re…