Name
Title | ||
|---|---|---|
On Fully Implicit Space-Time Discretization for Motions of Incompressible Fluids with Shear-Dependent Viscosities: The Case $p \le 2 $ |
Abstract | ||
|---|---|---|
In this paper, we deal with a rigorous error analysis for a fully implicit space-time discretization of an unsteady, non-Newtonian fluid flow model, where the nonlinear operator related to the stress tensor exhibits p-structure. In a first step, a semidiscretization in time using the implicit Euler method is discussed. Due to limitation of regularity of the solution for the case $p \neq 2$, a decrease with respect to convergence rates of the method is stated, in general, by retaining smoothly first order in appropriate norms for the Stokes law (i.e., p = 2). The analysis is then extended to a full discretization using stable pairings of finite element spaces in a second step. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1137/S0036142900371209 | SIAM Journal on Numerical Analysis |
Keywords | Field | DocType |
rigorous error analysis,appropriate norm,full discretization,incompressible fluids,implicit euler method,stable pairings,implicit space-time discretization,finite element space,non-newtonian fluid flow model,stokes law,nonlinear operator,shear-dependent viscosities,space time,incompressible fluid | Discretization,Mathematical analysis,Finite element method,Newtonian fluid,Rate of convergence,Incompressible flow,Cauchy stress tensor,Backward Euler method,Mathematics,Navier–Stokes equations | Journal |
Volume | Issue | ISSN |
39 | 1 | 0036-1429 |
Citations | PageRank | References |
6 | 1.81 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Andreas Prohl | 1 | 302 | 67.29 |
| Michael Ruzicka | 2 | 9 | 3.93 |