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math.NA2020
Uniform Hölder-norm bounds for finite element approximations of second-order elliptic equations
Lars Diening, Toni Scharle, Endre Süli
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 seco…
math.NA2019
Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: Three-Field Formulation
Patrick E. Farrell, Pablo Alexei Gazca-Orozco, Endre Süli
In the classical theory of fluid mechanics a linear relationship between the shear stress and the symmetric velocity gradient tensor is often assumed. Even when a nonlinear relatio…
math.NA2018
Finite Element Approximation of a Strain-Limiting Elastic Model
Andrea Bonito, Vivette Girault, Endre Süli
We construct a finite element approximation of a strain-limiting elastic model on a bounded open domain in , . The sequence of finite element approxima…