5 papers
A virtual element method for Darcy's problem coupled with a heat equation
Danilo Amigo, Felipe Lepe
In two dimensions, we develop a virtual element method to solve the Darcy's problem coupled with a nonlinear heat equation. This coupled model may allow for thermal diffusion and v…
A virtual element method for a convective Brinkman-Forchheimer problem coupled with a heat equation
Danilo Amigo, Felipe Lepe, Enrique Otarola +1
We develop a virtual element method to solve a convective Brinkman-Forchheimer problem coupled with a heat equation. This coupled model may allow for thermal diffusion and viscosit…
Error estimates for a bilinear optimal control problem of Maxwell's equations
Francisco Fuica, Felipe Lepe, Pablo Venegas
We consider a control-constrained optimal control problem subject to time-harmonic Maxwell's equations; the control variable belongs to a finite-dimensional set and enters the stat…
An Optimal Control Problem for the Navier--Stokes Equations with Point Sources
Francisco Fuica, Felipe Lepe, Enrique Otarola +1
We analyze, in two dimensions, an optimal control problem for the Navier--Stokes equations where the control variable corresponds to the amplitude of forces modeled as point source…
A posteriori error estimates in spaces for the Stokes system with Dirac measures
Francisco Fuica, Felipe Lepe, Enrique Otarola +1
We design and analyze a posteriori error estimators for the Stokes system with singular sources in suitable spaces. We consider classical low-…