A posteriori error estimates of finite element methods by preconditioning

Research output: Contribution to journalArticlepeer-review

Abstract

We present a framework that relates preconditioning with a posteriori error estimates in finite element methods. In particular, we use standard tools in subspace correction methods to obtain reliable and efficient error estimators. As a simple example, we recover the classical residual error estimators for the second order elliptic equations.

Original languageEnglish (US)
JournalComputers and Mathematics with Applications
DOIs
StateAccepted/In press - 2020

All Science Journal Classification (ASJC) codes

  • Modeling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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