128 citations · 346 across the 59 of their papers we have counts for
6 papers · 1 filter
Visible Points in Convex Sets and Best Approximation
Frank Deutsch, Hein Hundal, Ludmil Zikatanov
The concept of a visible point of a convex set relative to a given point is introduced. A number of basic properties of such visible point sets is developed. In particular, it is s…
An exponential fitting scheme for general convection-diffusion equations on tetrahedral meshes
Raytcho D. Lazarov, Ludmil T. Zikatanov
This paper contains construction and analysis a finite element approximation for convection dominated diffusion problems with full coefficient matrix on general simplicial partitio…
A simple preconditioner for a discontinuous Galerkin method for the Stokes problem
Blanca Ayuso de Dios, Franco Brezzi, L. Donatella Marini +2
In this paper we construct Discontinuous Galerkin approximations of the Stokes problem where the velocity field is H(div)-conforming. This implies that the velocity solution is div…
Numerical Approximation of Asymptotically Disappearing Solutions of Maxwell's Equations
James H. Adler, Vesselin Petkov, Ludmil T. Zikatanov
This work is on the numerical approximation of incoming solutions to Maxwell's equations with dissipative boundary conditions whose energy decays exponentially with time. Such solu…
Combined Preconditioning with Applications in Reservoir Simulation
Xiaozhe Hu, Shuhong Wu, Xiao-Hui Wu +4
We develop a simple algorithmic framework to solve large-scale symmetric positive definite linear systems. At its core, the framework relies on two components: (1) a norm-convergen…
Algebraic multilevel preconditioners for the graph Laplacian based on matching in graphs
James Brannick, Yao Chen, Johannes Kraus +1
This paper presents estimates of the convergence rate and complexity of an algebraic multilevel preconditioner based on piecewise constant coarse vector spaces applied to the graph…