32 citations · 63 across the 10 of their papers we have counts for
6 papers · 1 filter
A high-order, structure preserving scheme for the stochastic Galerkin shallow water equations -- unification and two-dimensional extension
Philipp Öffner, Per Pettersson, Andrew R. Winters
Recently, two independent research efforts have been made to study the stochastic Galerkin formulation of the shallow water equations. Bender and Öffner developed entropy-conservat…
Multi-objective optimization for multi-agent injection strategies in subsurface CO storage
Per Pettersson, Sebastian Krumscheid, Sarah Gasda
We propose a novel framework for optimizing injection strategies in large-scale CO storage combining multi-agent models with multi-objective optimization, and reservoir simulat…
Copula modeling and uncertainty propagation in field-scale simulation of CO fault leakage
Per Pettersson, Eirik Keilegavlen, Tor Harald Sandve +2
Subsurface storage of CO is an important means to mitigate climate change, and to investigate the fate of CO over several decades in vast reservoirs, numerical simulation b…
Adaptive stratified sampling for non-smooth problems
Per Pettersson, Sebastian Krumscheid
Science and engineering problems subject to uncertainty are frequently both computationally expensive and feature nonsmooth parameter dependence, making standard Monte Carlo too sl…
Level Set Methods for Stochastic Discontinuity Detection in Nonlinear Problems
Per Pettersson, Alireza Doostan, Jan Nordström
Stochastic physical problems governed by nonlinear conservation laws are challenging due to solution discontinuities in stochastic and physical space. In this paper, we present a l…
Stochastic Galerkin Framework with Locally Reduced Bases for Nonlinear Two-Phase Transport in Heterogeneous Formations
Per Pettersson, Hamdi A. Tchelepi
The generalized polynomial chaos method is applied to the Buckley-Leverett equation. We consider a spatially homogeneous domain modeled as a random field. The problem is projected…