Publications (14)
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…
Finite element approximation of stationary Fokker--Planck--Kolmogorov equations with application to periodic numerical homogenization
Timo Sprekeler, Endre Süli, Zhiwen Zhang
We propose and rigorously analyze a finite element method for the approximation of stationary Fokker--Planck--Kolmogorov (FPK) equations subject to periodic boundary conditions in…
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…
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-…
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…
Optimal rate of convergence in periodic homogenization of viscous Hamilton-Jacobi equations
Jianliang Qian, Timo Sprekeler, Hung V. Tran +1
We study the optimal rate of convergence in periodic homogenization of the viscous Hamilton-Jacobi equation $u^\varepsilon_t + H(\frac{x}{\varepsilon},Du^\varepsilon) = \varepsilon…