A Multilevel Monte Carlo Algorithm for Parabolic Advection-Diffusion Problems with Discontinuous Coefficients
From MaRDI portal
Publication:5117944
DOI10.1007/978-3-030-43465-6_22OpenAlexW3022700862MaRDI QIDQ5117944
Publication date: 26 August 2020
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.02129
parabolic equationporous mediaadvection-diffusion equationmultilevel Monte Carlo methodfractured mediaflow in heterogeneous mediajump-diffusion coefficientnon-continuous random fields
Related Items (2)
Subordinated Gaussian random fields in elliptic partial differential equations ⋮ Multilevel Monte Carlo estimators for elliptic PDEs with Lévy-type diffusion coefficient
Cites Work
- Unnamed Item
- Unnamed Item
- Further analysis of multilevel Monte Carlo methods for elliptic PDEs with random coefficients
- Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients
- Hitchhiker's guide to the fractional Sobolev spaces
- Quasi-Monte Carlo finite element methods for elliptic PDEs with lognormal random coefficients
- Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients
- Multi-level Monte Carlo weak Galerkin method for elliptic equations with stochastic jump coefficients
- Circulant embedding with QMC: analysis for elliptic PDE with lognormal coefficients
- Approximation and simulation of infinite-dimensional Lévy processes
- Unbiased Estimation with Square Root Convergence for SDE Models
- Optimal Model Management for Multifidelity Monte Carlo Estimation
- Strong and Weak Error Estimates for Elliptic Partial Differential Equations with Random Coefficients
- Multilevel Monte Carlo Methods
- Fast simulation of Gaussian random fields
- Multilevel Monte Carlo Path Simulation
- Analysis of Circulant Embedding Methods for Sampling Stationary Random Fields
- A Study of Elliptic Partial Differential Equations with Jump Diffusion Coefficients
- A proof of the trace theorem of Sobolev spaces on Lipschitz domains
- Finite Element Error Analysis of Elliptic PDEs with Random Coefficients and Its Application to Multilevel Monte Carlo Methods
- Multilevel Monte Carlo Methods for Stochastic Elliptic Multiscale PDEs
This page was built for publication: A Multilevel Monte Carlo Algorithm for Parabolic Advection-Diffusion Problems with Discontinuous Coefficients