Localized Model Reduction for Nonlinear Elliptic Partial Differential Equations: Localized Training, Partition of Unity, and Adaptive Enrichment
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Publication:6108165
DOI10.1137/22m148402xzbMath1517.65117arXiv2202.09872OpenAlexW4317935617MaRDI QIDQ6108165
Tommaso Taddei, Kathrin Smetana
Publication date: 29 June 2023
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.09872
Sampling theory, sample surveys (62D05) Numerical optimization and variational techniques (65K10) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order elliptic equations (35J15) Approximation by arbitrary linear expressions (41A45) Overdetermined initial-boundary value problems for PDEs and systems of PDEs (35N30)
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