activity
20042026
most citedThe Nonlinear Schrödinger Equation on the Interval

259 citations · 283 across the 18 of their papers we have counts for

collaborators

21 papers

math.NA2026

A New Error Analysis for a Point Tracking Elliptic Distributed Optimal Control Problem with Pointwise Control Constraints

Susanne C. Brenner, Li-yeng Sung

We develop a concise error analysis for a linear-quadratic elliptic distributed optimal control problem with point tracking and pointwise control constraints, where a standard fini…

math.NA2026

Virtual element methods for a quad-curl problem on general planar domains

Susanne C. Brenner, Li-yeng Sung, Jai Tushar

We design and analyze virtual element methods for a quad-curl problem on general polygonal domains that are based on the Hodge decomposition of divergence-free vector fields. Numer…

math.NA2025

A Spectral LOD Method for Multiscale Problems with High Contrast

Susanne C. Brenner, José C. Garay, Li-yeng Sung

We present a multiscale finite element method for a diffusion problem with rough and high contrast coefficients. The construction of the multiscale finite element space is based on…

math.NA2024

A New Error Analysis for Finite Element Methods for Elliptic Neumann Boundary Control Problems with Pointwise Control Constraints

Susanne C. Brenner, Li-yeng Sung

We present a new error analysis for finite element methods for a linear-quadratic elliptic optimal control problem with Neumann boundary control and pointwise control constraints.…

math.OC2024

New Error Estimates for An Elliptic Distributed Optimal Control Problem with Pointwise Control Constraints

Susanne C. Brenner, Li-yeng Sung

We derive error estimates for a linear-quadratic elliptic distributed optimal control problem with pointwise control constraints that can be applied to standard finite element meth…

math.NA2023

A Multiscale Finite Element Method for an Elliptic Distributed Optimal Control Problem with Rough Coefficients and Control Constraints

Susanne C. Brenner, Jose C. Garay, Li-yeng Sung

We construct and analyze a multiscale finite element method for an elliptic distributed optimal control problem with pointwise control constraints, where the state equation has rou…