Article thumbnail

Analysis and approximations of the evolutionary Stokes equations with inhomogeneous boundary and divergence data using a parabolic saddle point formulation

By Konstantinos Chrysafinos and L. Steven Hou

Abstract

This work concerns the analysis and finite element approximations of the evolutionary Stokes equations, with inhomogeneous boundary and divergence data. The proposed weak formulation can be viewed as an attempt to develop the parabolic analog of the well known saddle point theory for elliptic problems. Several results concerning the analysis and finite element approximations are presented. The key feature of the weak formulation under consideration is the treatment of Dirichlet boundary conditions within the Lagrange multiplier framework

Topics: Evolutionary stokes equations, inhomogeneous boundary and divergence data, error estimates, finite element approximations, lagrange multipliers, saddle point formulations
Publisher: EDP Sciences
DOI identifier: 10.1051/m2an/2016070
OAI identifier: oai:edpsciences.org:dkey/10.1051/m2an/2016070
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • https://www.esaim-m2an.org/10.... (external link)
  • https://doi.org/10.1051/m2an/2... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.