9 citations · 14 across the 7 of their papers we have counts for
10 papers
Additive Average Schwarz Method for Elliptic Mortar Finite Element Problems with Highly Heterogeneous Coefficients
Ali Khademi, Leszek Marcinkowski, Sanjib Kumar Acharya +1
In this paper, we extend the additive average Schwarz method to solve second order elliptic boundary value problems with heterogeneous coefficients inside the subdomains and across…
Iterative regularization algorithms for image denoising with the TV-Stokes model
Bin Wu, Leszek Marcinkowski, Xue-Cheng Tai +1
We propose a set of iterative regularization algorithms for the TV-Stokes model to restore images from noisy images with Gaussian noise. These are some extensions of the iterative…
MATLAB Implementation of Element-based Solvers
Leszek Marcinkowski, Jan Valdman
Rahman and Valdman (2013) introduced a vectorized way to assemble finite element stiffness and mass matrices in MATLAB. Local element matrices are computed all at once by array ope…
Additive average Schwarz with adaptive coarse spaces: scalable algorithms for multiscale problems
Leszek Marcinkowski, Talal Rahman
We present an analysis of the additive average Schwarz preconditioner with two newly proposed adaptively enriched coarse spaces which was presented at the 23rd International confer…
Adaptively enriched coarse space for the discontinuous Galerkin multiscale problems
Erik Eikeland, Leszek Marcinkowski, Talal Rahman
In this paper, we propose a two-level overlapping additive Schwarz domain decomposition preconditioner for the symmetric interior penalty discontinuous Galerkin method for the seco…
Overlapping Schwarz Methods with Adaptive Coarse Spaces for Multiscale Problems in 3D
Erik Eikeland, Leszek Marcinkowski, Talal Rahman
We propose two variants of the overlapping additive Schwarz method for the finite element discretiza- tion of the elliptic problem in 3D with highly heterogeneous coefficients. The…
On Composite Discontinuous Galerkin Method for simulations of electric properties of semiconductor devices
Konrad Sakowski, Leszek Marcinkowski, Pawel Strak +2
In this paper, a variant of discretization of the van Roosbroeck equations in the equilibrium state with the Composite Discontinuous Galerkin Method for the rectangular domain is d…
Edge based Schwarz methods for the Crouzeix-Raviart finite volume element discretization of elliptic problems
Atle Loneland, Leszek Marcinkowski, Talal Rahman
In this paper, we present two variants of the Additive Schwarz Method for a Crouzeix-Raviart finite volume element (CRFVE) discretization of second order elliptic problems with dis…
Additive average Schwarz method for a Crouzeix-Raviart Finite Volume Element Discretization of Elliptic Problems with Heterogeneous Coefficients
Atle Loneland, Leszek Marcinkowski, Talal Rahman
In this paper we introduce an additive Schwarz method for a Crouzeix-Raviart Finite Volume Element (CRFVE) discretization of a second order elliptic problem with discontinuous coef…
Additive Schwarz preconditioner for the general finite volume element discretization of symmetric elliptic problems
Leszek Marcinkowski, Talal Rahman, Atle Loneland +1
A symmetric and a nonsymmetric variant of the additive Schwarz preconditioner are proposed for the solution of a nonsymmetric system of algebraic equations arising from a general f…