Contributions to Books:

M. Bernkopf, J. Melenk:
"Optimal convergence rates in L^2 for a first order system least squares finite element method. Part 1: homogeneous boundary conditions";
in: "ASC Report 45/2020", issued by: Institute for Analysis and Scientific Computing; Vienna University of Technology, Wien, 2020, ISBN: 978-3-902627-13-1, 1 - 34.

English abstract:
We analyze a divergence based first order system least squares method applied to a second order elliptic model problem with homogeneous boundary conditions. We prove optimal convergence in the L2(Ω) norm for the scalar variable. Numerical results confirm our findings.

Electronic version of the publication:

Created from the Publication Database of the Vienna University of Technology.