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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.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…
math.NA2021
Multiscale Finite Element Methods for an Elliptic Optimal Control Problem with Rough Coefficients
Susanne C. Brenner, José C. Garay, Li-yeng Sung
We investigate multiscale finite element methods for an elliptic distributed optimal control problem with rough coefficients. They are based on the (local) orthogonal decomposition…