3 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…