output
20042025
most citedSparse Regularization with Penalty Term

180 citations

Showing 2009Show all

10 papers · 1 filter

cond-mat.mes-hall2009★ 10 cited

Billiards in magnetic fields: A molecular dynamics approach

M. Aichinger, S. Janecek, E. Rasanen

We present a computational scheme based on classical molecular dynamics to study chaotic billiards in static external magnetic fields. The method allows to treat arbitrary geometri…

math.AP2009★ 128 cited

Optimal Time Decay of the Vlasov-Poisson-Boltzmann System in

Renjun Duan, Robert M. Strain

The Vlasov-Poisson-Boltzmann System governs the time evolution of the distribution function for the dilute charged particles in the presence of a self-consistent electric potential…

math.ST2009★ 2 cited

Hierarchical models in statistical inverse problems and the Mumford--Shah functional

Tapio Helin, Matti Lassas

The Bayesian methods for linear inverse problems is studied using hierarchical Gaussian models. The problems are considered with different discretizations, and we analyze the pheno…

math-ph2009★ 19 cited

Causality Analysis of Frequency Dependent Wave Attenuation

Kowar Richard, Scherzer Otmar, Bonnefond Xavier

The work is inspired by thermo-and photoacoustic imaging, where recent efforts are devoted to take into account attenuation and varying wave speed parameters. In this paper we deri…

math.NA2009★ 4 cited

A new approach to source conditions in regularization with general residual term

Jens Geissler, Bernd Hofmann

This paper addresses Tikhonov like regularization methods with convex penalty functionals for solving nonlinear ill-posed operator equations formulated in Banach or, more general,…

math.NA2009

A Convergent Overlapping Domain Decomposition Method for Total Variation Minimization

Massimo Fornasier, Andreas Langer, Carola-Bibiane Schönlieb

This paper is concerned with the analysis of convergent sequential and parallel overlapping domain decomposition methods for the minimization of functionals formed by a discrepancy…