An optimal adaptive wavelet method for first order system least squares

Open Access
Authors
Publication date 2018
Journal Numerische Mathematik
Volume | Issue number 140 | 1
Pages (from-to) 191-237
Organisations
  • Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
Abstract In this paper, it is shown that any well-posed 2nd order PDE can be reformulated as a well-posed first order least squares system. This system will be solved by an adaptive wavelet solver in optimal computational complexity. The applications that are considered are second order elliptic PDEs with general inhomogeneous boundary conditions, and the stationary Navier–Stokes equations.
Document type Article
Language English
Published at https://doi.org/10.1007/s00211-018-0961-7
Other links https://www.scopus.com/pages/publications/85044364753
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