4 papers
A priori error analysis for one-parameter Lagrange and POD reduced order methods
Antti Hannukainen, Vigdis Toresen
This work deals with the numerical solution of parametric linear elliptic partial differential equations using the finite element method for spatial discretization and a proper ort…
Nitsche methods for constrained problems in mechanics
Tom Gustafsson, Antti Hannukainen, Vili Kohonen +1
We present guidelines for deriving new Nitsche Finite Element Methods to enforce equality and inequality constraints that act on the value of the unknown mechanical quantity. We fi…
Total variation regularization with reduced basis in electrical impedance tomography
A. Hannukainen, N. Hyvönen, V. Toresen
This work considers using reduced basis techniques in connection to (smoothened) total variation regularization in electrical impedance tomography, but analogous ideas can also be…
An iterative method for elliptic problems with rapidly oscillating coefficients
S. Armstrong, A. Hannukainen, T. Kuusi +1
We introduce a new iterative method for computing solutions of elliptic equations with random rapidly oscillating coefficients. Similarly to a multigrid method, each step of the it…