On a MIC(0) preconditioning of non-conforming mixed FEM elliptic problems

MIC(0) Preconditioning of Conforming and Non-conforming FEM Problems on Unstructured Grids⋆

In this study, the topics of grid generation and FEM applications are studied together following their natural synergy. We consider the following three grid generators: Triangle, NETGEN and Gmsh. The quantitative analysis is based on the number of elements/nodes needed to obtain a triangulation of a given domain, satisfying a certain minimal angle condition. After that, the performance of the M...

On a Two-Level Parallel MIC(0) Preconditioning of Crouzeix-Raviart Non-conforming FEM Systems

In this paper we analyze a two-level preconditioner for finite element systems arising in approximations of second order elliptic boundary value problems by Crouzeix-Raviart non-conforming triangular linear elements. This study is focused on the efficient implementation of the modified incomplete LU factorization MIC(0) as a preconditioner in the PCG iterative method for the linear algebraic sy...

Locally Optimized MIC(0) Preconditioning of Rannacher-Turek FEM Systems

In this paper Rannacher-Turek non-conforming rotated bilinear finite elements are applied for the numerical solution of second order elliptic boundary value problems. The preconditioned conjugate gradient method is used for the iterative solution of the arising linear algebraic system. A locally optimized construction for an M-matrix approximation of the global stiffness matrix is the first ste...

MIC(0) Preconditioning of Rotated Trilinear FEM Elliptic Systems

Aggregation-Based Multilevel Preconditioning of Non-conforming FEM Elasticity Problems

Aggregation-based multilevel preconditioningof non-conforming FEM elasticity problems – p. 1/19