Level set methods for stochastic discontinuity detection in nonlinear problems
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Publication:2221452
DOI10.1016/j.jcp.2019.04.053zbMath1452.65020arXiv1810.08607OpenAlexW2896725594MaRDI QIDQ2221452
Per Pettersson, Alireza Doostan, Jan Nordström
Publication date: 26 January 2021
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.08607
Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions to stochastic differential and integral equations (65C30) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
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Cites Work
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- A weighted \(\ell_1\)-minimization approach for sparse polynomial chaos expansions
- Extended stochastic FEM for diffusion problems with uncertain material interfaces
- Non intrusive iterative stochastic spectral representation with application to compressible gas dynamics
- A non-adapted sparse approximation of PDEs with stochastic inputs
- Multi-resolution analysis of Wiener-type uncertainty propagation schemes
- The flexible, extensible and efficient toolbox of level set methods
- Padé-Legendre approximants for uncertainty analysis with discontinuous response surfaces
- Discontinuity detection in multivariate space for stochastic simulations
- An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations
- A least-squares approximation of partial differential equations with high-dimensional random inputs
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Approximate Riemann solvers, parameter vectors, and difference schemes
- A new stochastic approach to transient heat conduction modeling with uncertainty.
- Efficient input-output model representations
- Stochastic approaches to uncertainty quantification in CFD simulations
- Uncertainty analysis for the steady-state flows in a dual throat nozzle
- Modeling uncertainty in flow simulations via generalized polynomial chaos.
- Liberating the weights
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- Segmentation of stochastic images using level set propagation with uncertain speed
- A generalized multi-resolution expansion for uncertainty propagation with application to cardiovascular modeling
- Non-intrusive low-rank separated approximation of high-dimensional stochastic models
- An adaptive multi-element generalized polynomial chaos method for stochastic differential equations
- Correcting Data Corruption Errors for Multivariate Function Approximation
- Uncertainty Quantification given Discontinuous Model Response and a Limited Number of Model Runs
- SPARSE MULTIRESOLUTION REGRESSION FOR UNCERTAINTY PROPAGATION
- CO2 migration in saline aquifers. Part 1. Capillary trapping under slope and groundwater flow
- Hyperspherical Sparse Approximation Techniques for High-Dimensional Discontinuity Detection
- Identification of random shapes from images through polynomial chaos expansion of random level set functions
- Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures
- Decoding by Linear Programming
- Probing the Pareto Frontier for Basis Pursuit Solutions
- Stochastic finite element: a non intrusive approach by regression
- An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data
- Function Approximation on Arbitrary Domains Using Fourier Extension Frames
- The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
- APPROXIMATING SMOOTH, MULTIVARIATE FUNCTIONS ON IRREGULAR DOMAINS
- Efficient Localization of Discontinuities in Complex Computational Simulations
- Frames and Numerical Approximation
- An Adaptive Minimum Spanning Tree Multielement Method for Uncertainty Quantification of Smooth and Discontinuous Responses
- High-Order Collocation Methods for Differential Equations with Random Inputs
- Dynamical Properties of Truncated Wiener-Hermite Expansions
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