Title
Level Set Methods for Stochastic Discontinuity Detection in Nonlinear Problems.
Abstract
•Novel level set formulation for discontinuity tracking in stochastic space for problems exhibiting solution discontinuities.•Adaptive level set method on multiple grids in stochastic space.•Surrogate model to reduce the number of expensive evaluations of the conservation law of interest.•Simplex multi-element stochastic basis functions for robust computation of solution statistics.•Application of frames as a more general alternative to classical orthogonal basis functions.
Year
DOI
Venue
2019
10.1016/j.jcp.2019.04.053
Journal of Computational Physics
Keywords
Field
DocType
Uncertainty quantification,Discontinuity tracking,Level set methods,Polynomial chaos,Hyperbolic PDEs
Mathematical optimization,Classification of discontinuities,Polynomial,Level set method,Discontinuity (linguistics),Level set,Polynomial chaos,Piecewise,Mathematics,Conservation law
Journal
Volume
ISSN
Citations 
392
0021-9991
0
PageRank 
References 
Authors
0.34
18
3
Name
Order
Citations
PageRank
Per Pettersson1141.90
Alireza Doostan218815.57
Jan Nordström321831.47