Preconditioning Heterogeneous Problems by Additive Schur Complement Approximation and Applications

J Kraus, R Lazarov, M Lymbery, S Margenov… - SIAM Journal on …, 2016 - SIAM
In this paper we propose and analyze a preconditioner for a system arising from a mixed
finite element approximation of second-order elliptic problems describing processes in …

A multiscale HDG method for second order elliptic equations. Part I. Polynomial and homogenization-based multiscale spaces

Y Efendiev, R Lazarov, K Shi - SIAM Journal on Numerical Analysis, 2015 - SIAM
We introduce a finite element method for numerical upscaling of second order elliptic
equations with highly heterogeneous coefficients. The method is based on a mixed …

Incomplete factorization by local exact factorization (ILUE)

J Kraus, M Lymbery - Mathematics and Computers in Simulation, 2018 - Elsevier
This study proposes a new preconditioning strategy for symmetric positive (semi-) definite
SP (S) D matrices referred to as incomplete factorization by local exact factorization (ILUE) …

[引用][C] Numerical solution of the Stokes-Brinkman equation by the usage uf the mixed finite element method

M Hasal - 2017 - dspace.vsb.cz
This thesis works with the Stokes–Brinkman equation, which is the model for simulation of
the fluid flow in a fully saturated porous medium. The Stokes–Brinkman equation is a unique …