A Local Discontinuous Galerkin approximation for the p-Navier-Stokes system, Part III: Convergence rates for the pressure

10/13/2022
by   Alex Kaltenbach, et al.
0

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 p-Navier-Stokes type and p-Stokes type with p∈ (2,∞). The results are supported by numerical experiments.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
08/08/2022

A Local Discontinuous Galerkin approximation for the p-Navier-Stokes system, Part II: Convergence rates for the velocity

In the present paper, we prove convergence rates for the Local Discontin...
research
08/08/2022

A Local Discontinuous Galerkin approximation for the p-Navier-Stokes system, Part I: Convergence analysis

In the present paper, we propose a Local Discontinuous Galerkin (LDG) ap...
research
06/01/2023

Stabilized Isogeometric Collocation Methods For Scalar Transport and Incompressible Fluid Flow

In this work we adapt classical residual-based stabilization techniques ...
research
01/25/2023

A DPG method for the quad-curl problem

We derive an ultraweak variational formulation of the quad-curl problem ...
research
12/08/2022

Discontinuous Galerkin methods for the acoustic vibration problem

In two and three dimension we analyze discontinuous Galerkin methods for...
research
10/08/2021

Local discontinuous Galerkin methods for the abcd nonlinear Boussinesq system

Boussinesq type equations have been widely studied to model the surface ...
research
08/02/2023

The Rhie-Chow stabilized Box Method for the Stokes problem

The Finite Volume method (FVM) is widely adopted in many different appli...

Please sign up or login with your details

Forgot password? Click here to reset