Mixed $(\mathcal{L}{\mathcal{L}}^{\ast }{)}^{-1}$ and $\mathcal{L}{\mathcal{L}}^{\ast }$ least-squares finite element methods with application to linear hyperbolic problems

Delyan Z. Kalchev, Thomas A. Manteuffel, Steffen Münzenmaier

In this paper, a few dual least-squares finite element methods and their application to scalar linear hyperbolic problems are studied. The purpose is to obtain $L^2$-norm approxima…