Numerical Solution of the Poisson Equation on Domains with a Thin Layer of Random Thickness

DOI10.1137/140998652zbMath1382.65457OpenAlexW2321366621MaRDI QIDQ2798204

Bénédicte Puig, Marc Dambrine, Isabelle Greff, Helmut Harbrecht

Publication date: 4 April 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://edoc.unibas.ch/42302/1/20160329213808_56fad9a07d739.pdf

zbMATH Keywords

thin layer equationrandom domainsrandom boundary value problems

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Monte Carlo methods (65C05) Boundary value problems for second-order elliptic equations (35J25) Asymptotic expansions of solutions to PDEs (35C20) PDEs with randomness, stochastic partial differential equations (35R60) Numerical solutions to stochastic differential and integral equations (65C30)

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A mathematical model for turbulent transport through thin randomly oscillating layers surrounding a fixed domain ⋮ A massively parallel implementation of multilevel Monte Carlo for finite element models ⋮ Geometric aspects of shape optimization ⋮ Numerical solution of the homogeneous Neumann boundary value problem on domains with a thin layer of random thickness ⋮ A domain mapping approach for elliptic equations posed on random bulk and surface domains ⋮ A hybrid collocation-perturbation approach for PDEs with random domains ⋮ Estimation of exciton diffusion lengths of organic semiconductors in random domains

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