Stability, analyticity, and maximal regularity for parabolic finite element problems on smooth domains

Maximal $L^p$ analysis of finite element solutions for parabolic equations with nonsmooth coefficients in convex polyhedra

Mathematics of Computation, 2016

Improved error estimates for semidiscrete finite element solutions of parabolic Dirichlet boundary control problems

IMA Journal of Numerical Analysis, 2019

Maximal regularity of multistep fully discrete finite element methods for parabolic equations

IMA Journal of Numerical Analysis, 2021

Maximal Regularity of Fully Discrete Finite Element Solutions of Parabolic Equations

SIAM Journal on Numerical Analysis, 2017

Analyticity, maximal regularity and maximum-norm stability of semi-discrete finite element solutions of parabolic equations in nonconvex polyhedra

Mathematics of Computation, 2018

Discrete maximal regularity and the finite element method for parabolic equations

Numerische Mathematik, 2017

Sharp estimates for finite element approximations to parabolic problems with Neumann boundary data of low regularity

BIT Numerical Mathematics, 2008

Sharp estimates for finite element approximations to elliptic problems with Neumann boundary data of low regularity

Mathematics of Computation, 2007

Dynamics of parabolic equations via the finite element method I. Continuity of the set of equilibria

Journal of Differential Equations, 2016

Discrete maximal parabolic regularity for Galerkin finite element methods

Numerische Mathematik, 2016

The Behavior of Finite Element Solutions of Semilinear Parabolic Problems Near Stationary Points

SIAM Journal on Numerical Analysis, 1994