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16 270 (0,292s)

Result

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
Result

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
Result

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
Result

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
Result

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
Result

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
Result

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
Result

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
Result

On Construction of the Coarse Space in the BDDC Method

The problem of construction of the coarse space for the Balancing Domain Decomposition by Constraints (BDDC) method is discussed. The simple addition of point-wise continuity constraints into the coarse problem is compared with addition of averages o...

BA - Obecná matematika

  • 2008
  • D
Result

Estimates Up to the Boundary of a Weak Solution to the Navier-Stokes Equation in a Cube in Dependence on Eigenvalues of the Rate of Deformation Tensor

We formulate sufficient conditions for regularity up to the boundary of a weak solution v in a subdomain Omega x (t1,t2) of the time-space cylinder Omega x (0,T) by means of requirements on one of the eigenvalues of the rate of defo...

BA - Obecná matematika

  • 2005
  • Jx
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