167 citations · 334 across the 10 of their papers we have counts for
11 papers
Benchmarking CO Storage Simulations: Results from the 11th Society of Petroleum Engineers Comparative Solution Project
Jan M. Nordbotten, Martin A. Fernø, Bernd Flemisch +40
The 11th Society of Petroleum Engineers Comparative Solution Project (shortened SPE11 herein) benchmarked simulation tools for geological carbon dioxide (CO) storage. A total o…
Pseudo-Hamiltonian neural networks for learning partial differential equations
Sølve Eidnes, Kjetil Olsen Lye
Pseudo-Hamiltonian neural networks (PHNN) were recently introduced for learning dynamical systems that can be modelled by ordinary differential equations. In this paper, we extend…
Constrained mixers for the quantum approximate optimization algorithm
Franz G. Fuchs, Kjetil Olsen Lye, Halvor Møll Nilsen +2
The quantum approximate optimization algorithm/quantum alternating operator ansatz (QAOA) is a heuristic to find approximate solutions of combinatorial optimization problems. Most…
Convergence rates of monotone schemes for conservation laws for data with unbounded total variation
Ulrik Skre Fjordholm, Kjetil Olsen Lye
We prove convergence rates of monotone schemes for conservation laws for Hölder continuous initial data with unbounded total variation, provided that the Hölder exponent of the ini…
Iterative Surrogate Model Optimization (ISMO): An active learning algorithm for PDE constrained optimization with deep neural networks
Kjetil O. Lye, Siddhartha Mishra, Deep Ray +1
We present a novel active learning algorithm, termed as iterative surrogate model optimization (ISMO), for robust and efficient numerical approximation of PDE constrained optimizat…
Alsvinn: A Fast multi-GPGPU finite volume solver with a strong emphasis on reproducibility
Kjetil Lye
We present the Alsvinn simulator, a fast multi general purpose graphical processing unit (GPGPU) finite volume solver for hyperbolic conservation laws in multiple space dimensions.…