4 papers
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…
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…
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…
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.…