5 papers
A post-processed higher-order multiscale method for nondivergence-form elliptic equations
Moritz Hauck, Roland Maier, Timo Sprekeler
We study the finite element approximation of linear second-order elliptic partial differential equations in nondivergence form with highly heterogeneous diffusion and drift coeffic…
Stable localized orthogonal decomposition in Raviart-Thomas spaces
Patrick Henning, Hao Li, Timo Sprekeler
This work proposes a computational multiscale method for the mixed formulation of a second-order linear elliptic equation subject to a homogeneous Neumann boundary condition, based…
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…