<div class="csl-bib-body">
<div class="csl-entry">Bernkopf, M., & Melenk, J. M. (2024). <i>Optimal convergence rates in L<sup>2</sup> for a first order system least squares finite element method -- Part II: inhomogeneous Robin boundary conditions</i>. arXiv. https://doi.org/10.48550/arXiv.2407.14424</div>
</div>
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/199304
-
dc.description.abstract
We consider divergence-based high order discretizations of an L²-based first order system least squares formulation of a second order elliptic equation with Robin boundary conditions. For smooth geometries, we show optimal convergence rates in the L²(Ω) norm for the scalar variable. Convergence rates for the L²(Ω)-norm error of the gradient of the scalar variable as well as vectorial variable are also derived. Numerical examples
illustrate the analysis.
en
dc.language.iso
en
-
dc.subject
Optimal convergence rates
en
dc.subject
least squares finite element method
en
dc.subject
inhomogeneous Robin boundary conditions
en
dc.title
Optimal convergence rates in L² for a first order system least squares finite element method -- Part II: inhomogeneous Robin boundary conditions
