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Abstract We propose a posteriori error estimators for classical low-order inf–sup stable and stabilized finite element approximations of the Stokes problem with singular sources in two and three dimensional Lipschitz,… Click to show full abstract
Abstract We propose a posteriori error estimators for classical low-order inf–sup stable and stabilized finite element approximations of the Stokes problem with singular sources in two and three dimensional Lipschitz, but not necessarily convex, polytopal domains. The designed error estimators are proven to be reliable and locally efficient. On the basis of these estimators we design a simple adaptive strategy that yields optimal rates of convergence for the numerical examples that we perform.
Keywords:
error;
stokes problem;
singular sources;
posteriori error;
problem singular
Journal Title: Computer Methods in Applied Mechanics and Engineering
Year Published: 2019
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Journal Title: Computer Methods in Applied Mechanics and Engineering
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!