5 papers
A Cordes framework for stationary Fokker--Planck--Kolmogorov equations
Timo Sprekeler
We first review the Cordes condition for nondivergence-form differential operators through the lens of Campanato's theory of near operators. We then survey a recently proposed Cord…
Homogenization of non-divergence form operators in i.i.d. random environments
Xiaoqin Guo, Timo Sprekeler, Hung V. Tran
We study random walks in a balanced, i.i.d. random environment in for . We establish improved convergence rates for the homogenization of the Dirichlet probl…
Numerical approximation of effective diffusivities in homogenization of nondivergence-form equations with large drift by a Lagrangian method
Timo Sprekeler, Han Wu, Zhiwen Zhang
In this paper, we study numerical methods for the homogenization of linear second-order elliptic equations in nondivergence-form with periodic diffusion coefficients and large drif…
Optimal convergence rates for elliptic homogenization problems in nondivergence-form: analysis and numerical illustrations
Timo Sprekeler, Hung V. Tran
We study optimal convergence rates in the periodic homogenization of linear elliptic equations of the form subject to a homogeneous Diri…
Mixed finite element approximation of periodic Hamilton--Jacobi--Bellman problems with application to numerical homogenization
Dietmar Gallistl, Timo Sprekeler, Endre Süli
In the first part of the paper, we propose and rigorously analyze a mixed finite element method for the approximation of the periodic strong solution to the fully nonlinear second-…