Affine Approximation of Parametrized Kernels and Model Order Reduction for Nonlocal and Fractional Laplace Models

DOI10.1137/19M124321XzbMath1434.65224arXiv1901.06748OpenAlexW3025536561MaRDI QIDQ5110552

Max D. Gunzburger, O. Burkovska

Publication date: 20 May 2020

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

Full work available at URL: https://arxiv.org/abs/1901.06748

zbMATH Keywords

reduced basis methodfractional Laplaciannonlocal diffusionaffine approximationparametric regularity

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Fractional partial differential equations (35R11)

Related Items (6)

Analysis of Anisotropic Nonlocal Diffusion Models: Well-Posedness of Fractional Problems for Anomalous Transport ⋮ Numerical methods for nonlocal and fractional models ⋮ Projection-tree reduced-order modeling for fast \(N\)-body computations ⋮ An optimization-based approach to parameter learning for fractional type nonlocal models ⋮ On rational Krylov and reduced basis methods for fractional diffusion ⋮ On the \(s\)-derivative of weak solutions of the Poisson problem involving the regional fractional Laplacian

Uses Software

• redbKIT

Cites Work

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