Showing math.NAShow all
3 papers · 1 filter
math.NA2025
Adaptive stochastic Galerkin finite element methods: Optimality and non-affine coefficients
Markus Bachmayr, Henrik Eisenmann, Igor Voulis
Near-optimal computational complexity of an adaptive stochastic Galerkin method with independently refined spatial meshes for elliptic partial differential equations is shown. The…
math.NA2024
A Newton method for solving locally definite multiparameter eigenvalue problems by multiindex
Henrik Eisenmann
We present a new approach to compute eigenvalues and eigenvectors of locally definite multiparameter eigenvalue problems by its signed multiindex. The method has the interpretation…
math.NA2024
A convergent adaptive finite element stochastic Galerkin method based on multilevel expansions of random fields
Markus Bachmayr, Martin Eigel, Henrik Eisenmann +1
The subject of this work is an adaptive stochastic Galerkin finite element method for parametric or random elliptic partial differential equations, which generates sparse product p…