Exploiting locality in sparse polynomial approximation of parametric elliptic PDEs and application to parameterized domains

DOI10.1051/m2an/2024050MaRDI QIDQ6652068

Wouter Gerrit van Harten, Laura Scarabosio

Publication date: 12 December 2024

Published in: European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

waveletsparametric PDEsuncertainty quantificationsurrogate modelshape uncertaintysparse high-dimensional approximation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) Multidimensional problems (41A63) PDEs with randomness, stochastic partial differential equations (35R60) Approximation by polynomials (41A10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

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