3 papers
math.NA2026
Parametric Neural r-Adaptivity for Isogeometric Analysis via Residual Minimization
ElÃas 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…
math.OC2026
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…
math.NA2024
A Space-Time Discontinuous Petrov-Galerkin Finite Element Formulation for a Modified Schrödinger Equation for Laser Pulse Propagation in Waveguides
Ankit Chakraborty, Judit Munoz-Matute, Leszek Demkowicz +1
In this article, we propose a modified nonlinear Schrödinger equation for modeling pulse propagation in optical waveguides. The proposed model bifurcates into a system of elliptic…