Uniform Hölder-norm bounds for finite element approximations of second-order elliptic equations
We develop a discrete counterpart of the De Giorgi–Nash–Moser theory, which provides uniform Hölder-norm bounds on continuous piecewise affine finite element approximations of second-order linear elliptic problems of the form −∇⋅(A∇u)=f−∇⋅F with A∈L∞(Ω;Rn×n) a uniformly elliptic matrix-valued functi...
| Main Authors: | , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
Oxford University Press
2021
|