20 citations · 80 across the 22 of their papers we have counts for
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Analysis of a fully-discrete, non-conforming approximation of evolution equations and applications
Alex Kaltenbach, Michael Růžička
In this paper, we consider a fully-discrete approximation of an abstract evolution equation deploying a non-conforming spatial approximation and finite differences in time (Rothe-G…
A Local Discontinuous Galerkin approximation for the -Navier-Stokes system, Part III: Convergence rates for the pressure
Alex Kaltenbach, Michael Růžička
In the present paper, we prove convergence rates for the pressure of the Local Discontinuous Galerkin (LDG) approximation, proposed in Part I of the paper, of systems of -Navier…
A Local Discontinuous Galerkin approximation for the -Navier-Stokes system, Part II: Convergence rates for the velocity
Alex Kaltenbach, Michael Růžička
In the present paper, we prove convergence rates for the Local Discontinuous Galerkin (LDG) approximation, proposed in Part I of the paper, for systems of -Navier-Stokes type an…
Convergence analysis of a Local Discontinuous Galerkin approximation for nonlinear systems with balanced Orlicz-structure
Alex Kaltenbach, Michael Růžička
In this paper, we investigate a Local Discontinuous Galerkin (LDG) approximation for systems with balanced Orlicz-structure. We propose a new numerical flux, which yields optimal c…