A multifidelity method for a nonlocal diffusion model

DOI10.1016/j.aml.2021.107361OpenAlexW3163360189MaRDI QIDQ2234993

Karen Willcox, Max D. Gunzburger, Parisa Khodabakhshi

Publication date: 19 October 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107361

zbMATH Keywords

Monte Carlo methodsuncertainty quantificationnonlocal diffusionnonlocal modelsmultifidelity methods

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Integro-partial differential equations (45K05) Diffusion (76R50) Integral formulas of real functions of several variables (Stokes, Gauss, Green, etc.) (26B20)

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Cites Work

• Variational theory and domain decomposition for nonlocal problems
• Optimal Model Management for Multifidelity Monte Carlo Estimation
• A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems
• Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization
• Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
• A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
• Numerical methods for nonlocal and fractional models