16 citations · 26 across the 6 of their papers we have counts for
6 papers
Inexact Newton Methods for Solving Generalized Equations on Riemannian Manifolds
Mauricio S. Louzeiro, Gilson N. Silva, Jinyun Yuan +1
The convergence of inexact Newton methods is studied for solving generalized equations on Riemannian manifolds by using the metric regularity property, which is also explored. Unde…
A Projected Subgradient Method for the Computation of Adapted Metrics for Dynamical Systems
Maurício Louzeiro, Christoph Kawan, Sigurdur Hafstein +2
In this paper, we extend a recently established subgradient method for the computation of Riemannian metrics that optimizes certain singular value functions associated with dynamic…
Damped Newton's Method on Riemannian Manifolds
M. A. A. Bortoloti, T. A. Fernandes, O. P. Ferreira +1
A damped Newton's method to find a singularity of a vector field in Riemannian setting is presented with global convergence study. It is ensured that the sequence generated by the…
On the superlinear convergence of Newton's method on Riemannian manifolds
Teles A. Fernandes, Orizon P. Ferreira, Yuan J. Yun
In this paper we study the Newton's method for finding a singularity of a differentiable vector field defined on a Riemannian manifold. Under the assumption of invertibility of cov…
A hybridized discontinuous Galerkin method for 2D fractional convection-diffusion equations
Shuqin Wang, Jinyun Yuan, Weihua Deng +1
A hybridized discontinuous Galerkin method is proposed for solving 2D fractional convection-diffusion equations containing derivatives of fractional order in space on a finite doma…
Characteristic local discontinuous Galerkin methods for solving time-dependent convection-dominated Navier-Stokes equations
Shuqin Wang, Weihua Deng, Yujiang Wu +1
Combining the characteristic method and the local discontinuous Galerkin method with carefully constructing numerical fluxes, we design the variational formulations for the time-de…