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An overlapping Schwarz method for virtual element discretizations in two dimensions
element methods and therefore can accommodate quite irregular polygonal subdomains, square, hexagonal and irregular elements and with irregular subdomains obtained is independent of jumps in the coefficie...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On the approximation of a virtual coarse space for domain decomposition methods in two dimensions
for general polygonal meshes and irregular subdomains. Numerical experiments that verify the result are shown, including some with regular and irregular polygonal elements and with subdomains obtained by a mesh pa...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On an approach to deal with Neumann boundary value problems defined on uncertain domains: Numerical experiments
a known domain(subdomain), (b) it is contained in a known domain (superdomain), and (c) both the subdomain and superdomain have Lipschitz boundary. To copeNeumann boundary value problems for second order elliptic ...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Different approaches to interface weights in the BDDC method in 3D
are considered and both regular and irregular interfaces between subdomains are tested.In this paper, we discuss the choice of weights in averaging of local (subdomain) solutions on the interface for the BDDC method (Balan...
BA - Obecná matematika
- 2015 •
- D
Rok uplatnění
D - Stať ve sborníku
Hybrid TBETI domain decomposition for huge 2D scalar variational inequalities
subdomains, interconnect some adjacent subdomains into clusters on a primal level, and enforce the continuity of the solution across both the subdomain and cluster constraints. Here, we first reduce the continuous problem ...
Applied mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Qualitative properties of solutions of Navier-Stokes equations in space periodic domains
In this paper Navier-Stokes equations are solved on the domain consisting of many subdomains which are disjoint and moved along each other in one direction. It is supposed that the solution of the problem in this direction is approximately s...
BA - Obecná matematika
- 2014 •
- D
Rok uplatnění
D - Stať ve sborníku
Positive solutions for the p-Laplacian with Robin boundary conditions on irregular domains
We consider the Robin boundary conditions on irregular domains where the usual Sobolev embeddings fail. We present a functional framework permitting superhomogeneous growth of the nonlinearity and prove the existence of positive, bo...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Scalable Hybrid TFETI-DP Methods for Large Boundary Variational Inequalities
Variants of the FETI (finite element tearing and interconnecting) methods introduced by Farhat and Roux [8] belong to the most powerful methods for the massively parallel solution of large discretized elliptic partial differential equations. The basi...
Applied mathematics
- 2022 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
On selection of interface weights in domain decomposition methods
Different choices of the averaging operator within the BDDC method are compared on a series of 2D experiments. Subdomains with irregular interface and with jumps in material coefficients are included into the study. Two new approach...
BA - Obecná matematika
- 2013 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Total FETI - an easier implementable variant of the FETI method for numerical solution of elliptic PDE
A new variant of the FETI method for numerical solution of elliptic PDE is presented. The basic idea is to simplify inversion of the stiffness matrices of subdomains by using Lagrange multipliers not only for gluing the subdomains a...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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