16 citations · 63 across the 16 of their papers we have counts for
4 papers · 1 filter
Optimal Control of Convection-Cooling and Numerical Implementation
Cuiyu He, Weiwei Hu, Lin Mu
This paper is concerned with the problem of enhancing convection-cooling via active control of the incompressible velocity field, described by a stationary diffusion-convection mod…
Comparison of Shape Derivatives using CutFEM for Ill-posed Bernoulli Free Boundary Problem
Erik Burman, Cuiyu He, Mats G. Larson
In this paper we discuss a level set approach for the identification of an unknown boundary in a computational domain. The problem takes the form of a Bernoulli problem where only…
An a posteriori error estimate of the outer normal derivative using dual weights
Silvia Bertoluzza, Erik Burman, Cuiyu He
We derive a residual based a-posteriori error estimate for the outer normal flux of approximations to {the diffusion problem with variable coefficient}. By analyzing the solution o…
Generalized Prager-Synge Inequality and Equilibrated Error Estimators for Discontinuous Elements
Cuiyu He, Zhiqiang Cai, Shun Zhang
The well-known Prager-Synge identity is valid in and serves as a foundation for developing equilibrated a posteriori error estimators for continuous elements. In this pape…