1 citations · 1 across the 5 of their papers we have counts for
5 papers
Data-Driven Self-Supervised Learning for the Discovery of Solution Singularity for Partial Differential Equations
Difeng Cai, Paulina Sepúlveda
The appearance of singularities in the function of interest constitutes a fundamental challenge in scientific computing. It can significantly undermine the effectiveness of numeric…
Solver algorithm for stabilized space-time formulation of advection-dominated diffusion problem
Marcin Łoś, Paulina Sepulveda-Salas, Maciej Paszyński
This article shows how to develop an efficient solver for a stabilized numerical space-time formulation of the advection-dominated diffusion transient equation. At the discrete spa…
A spacetime DPG method for the wave equation in multiple dimensions
Jay Gopalakrishnan, Paulina Sepulveda
A spacetime discontinuous Petrov-Galerkin (DPG) method for the linear wave equation is presented. This method is based on a weak formulation that uses a broken graph space. The wel…
A spacetime DPG method for the Schrodinger equation
Leszek Demkowicz, Jay Gopalakrishnan, Sriram Nagaraj +1
A spacetime Discontinuous Petrov Galerkin (DPG) method for the linear time-dependent Schrodinger equation is proposed. The spacetime approach is particularly attractive for capturi…
A tent pitching scheme motivated by Friedrichs theory
Jay Gopalakrishnan, Peter Monk, Paulina Sepulveda
Certain Friedrichs systems can be posed on Hilbert spaces normed with a graph norm. Functions in such spaces arising from advective problems are found to have traces with a weak co…