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 Pettersson | 1 | 14 | 1.90 |
Alireza Doostan | 2 | 188 | 15.57 |
Jan Nordström | 3 | 218 | 31.47 |