Auflistung nach Schlagwort "a priori error estimates"

Computation of local and quasi-local effective diffusion tensors in elliptic homogenization

Gallistl, Dietmar; Peterseim, Daniel (2016-08)

This paper gives a re-interpretation of the multiscale method of Målqvist and Peterseim [Math. Comp. 2014] by means of a discrete integral operator acting on standard finite element spaces. The exponential decay of the ...

Multiscale approximation and reproducing kernel Hilbert space methods

Griebel, Michael; Rieger, Christian; Zwicknagl, Barbara (2013)

We consider reproducing kernels K : Ω x Ω → ℝ in multiscale series expansion form, i.e., kernels of the form K (x, y) = ∑ℓ∈ℕλ&#84 ...

Numerical stochastic homogenization by quasi-local effective diffusion tensors

Gallistl, Dietmar; Peterseim, Daniel (2017-02)

This paper proposes a numerical upscaling procedure for elliptic boundary value problems with diffusion tensors that vary randomly on small scales. The resulting effective deterministic model is given through a quasilocal ...