Simulation and Optimization of Mean First Passage Time Problems in 2-D Using Numerical Embedded Methods and Perturbation Theory

DOI10.1137/19M1299621zbMath1471.65103arXiv1911.07842OpenAlexW3194345495MaRDI QIDQ5157690

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Publication date: 19 October 2021

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.07842

zbMATH Keywords

numerical methodsasymptotic analysisnarrow escapeclosest point methodsoptimal trap placement

Mathematics Subject Classification ID

Heat equation (35K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Asymptotic expansions of solutions to PDEs (35C20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (2)

Trapping of Planar Brownian Motion: Full First Passage Time Distributions by Kinetic Monte Carlo, Asymptotic, and Boundary Integral Methods ⋮ Optimization of the Mean First Passage Time in Near-Disk and Elliptical Domains in 2-D with Small Absorbing Traps

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