Finite elements for scalar convection-dominated equations and incompressible flow problems: a never ending story?

V John, P Knobloch, J Novo - Computing and Visualization in Science, 2018 - Springer
The contents of this paper is twofold. First, important recent results concerning finite element
methods for convection-dominated problems and incompressible flow problems are …

[HTML][HTML] Development of an optimal adaptive finite element stabiliser for the simulation of complex flows

J Urombo, AK Yadav, NM Chadha - Scientific African, 2024 - Elsevier
An optimal adaptive multiscale finite element method (AMsFEM) for numerical solutions of
flow problems modelled by the Oldroyd B model is developed. Complex flows experience …

Fully computable error estimation of a nonlinear, positivity-preserving discretization of the convection-diffusion-reaction equation

A Allendes, GR Barrenechea, R Rankin - SIAM Journal on Scientific …, 2017 - SIAM
This work is devoted to the proposal, analysis, and numerical testing of a fully computable a
posteriori error bound for a class of nonlinear discretizations of the convection-diffusion …

A posteriori analysis for a mixed formulation of the Stokes spectral problem

F Lepe, J Vellojin - Calcolo, 2023 - Springer
In two and three dimensions, we design and analyze a posteriori error estimators for the
mixed Stokes eigenvalue problem. The unknowns on this mixed formulation are the …

Finite elements for scalar convection-dominated equations and incompressible flow problems-A never ending story?

V John, P Knobloch, J Novo - 2017 - oa.tib.eu
The contents of this paper is twofold. First, important recent results concerning finite element
methods for convection-dominated problems and incompressible flow problems are …

A posteriori error estimators for stabilized finite element approximations of an optimal control problem

A Allendes, E Otárola, R Rankin - Computer Methods in Applied Mechanics …, 2018 - Elsevier
We derive a posteriori error estimators for an optimal control problem governed by a
convection–reaction–diffusion equation; control constraints are also considered. We …

A posteriori error estimation for a PDE-constrained optimization problem involving the generalized Oseen equations

A Allendes, E Otárola, R Rankin - SIAM Journal on Scientific Computing, 2018 - SIAM
We derive globally reliable a posteriori error estimators for a linear-quadratic optimal control
problem involving the generalized Oseen equations as state equations; control constraints …

Stabilisers for Adaptive Multiscale Numerical Methods for the Simulation of Complex Flows

J Urombo, AK Yadav, NM Chadha - Available at SSRN 4684504 - papers.ssrn.com
We develop adaptive multiscale finite element methods (AMsFEM) for numerical solutions of
flow problems modelled by the Oldroyd B model. For the selected three stabilisers, we …

Estimaciones de error a posteriori para un problema de control óptimo de la ecuación de Stokes

D Quero - min J (y, u) - jmzs.cl
Estimaciones de error a posteriori para un problema de control óptimo de la ecuación de
Stokes Page 20 XXXI Jornada de Matemática de la Zona Sur Universidad Austral de Chile 25 …

[PDF][PDF] Análisis de error a posteriori para problemas temporales mediante esquemas estabilizados de elementos finitos

EC Sandoval - ACTA DE RESÚMENES - inst-mat.utalca.cl
Se desarrolla un análisis a posteriori para la ecuación de difusión-convección-reacción no
estacionaria mediante esquemas estabilizados de elementos finitos. Dicho análisis se …