2 citations · 4 across the 4 of their papers we have counts for
7 papers
Boundary determination for hybrid imaging from a single measurement
Tommi Brander, Torbjørn Ringholm
We recover the conductivity at the boundary of a domain from a combination of interior and boundary data, with a single quite arbitrary measurement, in AET or CDII. The argumen…
Energy preserving methods on Riemannian manifolds
Elena Celledoni, Sølve Eidnes, Brynjulf Owren +1
The energy preserving discrete gradient methods are generalized to finite-dimensional Riemannian manifolds by definition of a discrete approximation to the Riemannian gradient, a r…
A geometric integration approach to smooth optimisation: Foundations of the discrete gradient method
Matthias J. Ehrhardt, Erlend S. Riis, Torbjørn Ringholm +1
Discrete gradient methods are geometric integration techniques that can preserve the dissipative structure of gradient flows. Due to the monotonic decay of the function values, the…
Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows
Elena Celledoni, Sølve Eidnes, Brynjulf Owren +1
This paper concerns an extension of discrete gradient methods to finite-dimensional Riemannian manifolds termed discrete Riemannian gradients, and their application to dissipative…
Variational image regularization with Euler's elastica using a discrete gradient scheme
Torbjørn Ringholm, Jasmina Lazić, Carola-Bibiane Schönlieb
This paper concerns an optimization algorithm for unconstrained non-convex problems where the objective function has sparse connections between the unknowns. The algorithm is based…
Energy preserving moving mesh methods applied to the BBM equation
Sølve Eidnes, Torbjørn Ringholm
Energy preserving numerical methods for a certain class of PDEs are derived, applying the partition of unity method. The methods are extended to also be applicable in combination w…