The second order perturbation approach for elliptic partial differential equations on random domains

DOI10.1016/j.apnum.2017.11.002zbMath1379.65003OpenAlexW2769366842MaRDI QIDQ1686216

Helmut Harbrecht, Michael D. Multerer

Publication date: 21 December 2017

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

Full work available at URL: https://edoc.unibas.ch/57869/1/20171216212844_5a3581fc564ac.pdf

zbMATH Keywords

numerical resultsperturbation methodboundary integral equationsvariancekurtosisskewnesselliptic boundary value problemexpectationrandom domain

Mathematics Subject Classification ID

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)

Related Items (7)

Geometric aspects of shape optimization ⋮ Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains ⋮ On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity ⋮ A Higher Order Perturbation Approach for Electromagnetic Scattering Problems on Random Domains ⋮ Stochastic Approximation for Optimization in Shape Spaces ⋮ Isogeometric multilevel quadrature for forward and inverse random acoustic scattering ⋮ Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM

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