Sumários
Approximation of the Stokes System
13 janeiro 2023, 10:30 • Jorge Tiago
The Discrete Stokes system.
Inf-sup stable approximation of the Stokes System.
Stokes Problem
10 janeiro 2023, 11:00 • Jorge Tiago
Generalization of Sobolev spaces for tensor-valued functions.
Energy equality for the time-dependent Navier-Stokes equations.
Weak form of the Stokes Problem. Saddle point problem.
Existence and uniqueness the solution: the inf-sup condition.
SUPG and GLS
6 janeiro 2023, 10:30 • Jorge Tiago
The stabilization of higher dimensional transport (convection-diffusion) problems.
The upwind and Petrov-Galerkin stabilizations.
The Galerkin Least Square stabilization.
A prior error estimate for the stabilized convection-diffusion problem.
The role of convenction
3 janeiro 2023, 11:00 • Jorge Tiago
Discretization principles of the Navier-Stokes equations.
The role of the convective term.
Basic analysis of transport problems in 2D.
The 1D case: The need for stabilization. Adding numerical diffusion/ upwind test function modification.