3 papers
math.NA2019
Stochastic collocation method for computing eigenspaces of parameter-dependent operators
Luka Grubišić, Harri Hakula, Mikael Laaksonen
We consider computing eigenspaces of an elliptic self-adjoint operator depending on a countable number of parameters in an affine fashion. The eigenspaces of interest are assumed t…
math.NA2018
Multiparametric shell eigenvalue problems
Harri Hakula, Mikael Laaksonen
The eigenproblem for thin shells of revolution under uncertainty in material parameters is discussed. Here the focus is on the smallest eigenpairs. Shells of revolution have natura…
math.NA2017
Asymptotic convergence of spectral inverse iterations for stochastic eigenvalue problems
Harri Hakula, Mikael Laaksonen
We consider and analyze applying a spectral inverse iteration algorithm and its subspace iteration variant for computing eigenpairs of an elliptic operator with random coefficients…