19 citations · 51 across the 13 of their papers we have counts for
3 papers · 1 filter
Stable time-stepping via residual minimization: finite-element and neural-network approximations for transient parabolic problems
Judit Muñoz-Matute, Sergio Rojas
We propose a time-stepping minimum-residual (MinRes) framework for transient coercive variational problems, applicable to finite-element and neural-network trial approximations. Fo…
Parametric Neural r-Adaptivity for Isogeometric Analysis via Residual Minimization
Elías Caru, David Pardo, Judit Muñoz-Matute
We propose an r-adaptive neural algorithm for Isogeometric Analysis (IGA) based on residual minimization. The boundary-value problem is solved using a standard conforming Galerkin…
Tracking controllability on moving targets for parabolic equations
Jone Apraiz, Jon Asier Bárcena-Petisco, Judit Muñoz-Matute
In this paper, we study the tracking controllability of a 1D parabolic-type equation. Notably, with controls acting on the boundary, we seek to approximately control the solution o…