A Kaltenbach, M Růžička - ESAIM: Mathematical Modelling and …, 2023 - esaim-m2an.org
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 …
A Kaltenbach - Journal of Numerical Mathematics, 2024 - degruyter.com
In the present paper, we examine a Crouzeix–Raviart approximation for non-linear partial differential equations having a (p, δ)-structure for some p∈(1,∞) and δ⩾ 0. We establish a …
In the present paper, we prove convergence rates for the velocity of the local discontinuous Galerkin approximation, proposed in Part I of the paper [A. Kaltenbach and M. Růžička …
B Cockburn, J Shen - SIAM Journal on Scientific Computing, 2016 - SIAM
We propose the first hybridizable discontinuous Galerkin method for the p-Laplacian equation. When using polynomials of degree k≧0 for the approximation spaces of u, ∇u …
AK Balci, A Kaltenbach - IMA Journal of Numerical Analysis, 2024 - academic.oup.com
In the present paper, we examine a Crouzeix–Raviart approximation of the-Dirichlet problem. We derive a medius error estimate, ie, a best-approximation result, which holds for …
A Kaltenbach, M Růžička - SIAM Journal on Numerical Analysis, 2023 - SIAM
In the present paper, we prove convergence rates for the pressure of the local discontinuous Galerkin approximation, proposed in Part I of the paper [A. Kaltenbach and M. Růžička …
J Jeßberger, A Kaltenbach - SIAM Journal on Numerical Analysis, 2024 - SIAM
We propose a finite element discretization for the steady, generalized Navier–Stokes equations for fluids with shear-dependent viscosity, completed with inhomogeneous …
A Kaltenbach, M Růžička - … Models and Methods in Applied Sciences, 2023 - World Scientific
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 …
We consider a C 0 Interior Penalty Discontinuous Galerkin (C0IPDG) approximation of a nonlinear fourth order elliptic boundary value problem of p-biharmonic type and an …