A Progressive Reduced Basis/Empirical Interpolation Method for Nonlinear Parabolic Problems

DOI10.1137/17M1149638zbMath1397.65180arXiv1710.00511OpenAlexW2762731306WikidataQ129253840 ScholiaQ129253840MaRDI QIDQ4683934

Sébastien Meunier, Amina Benaceur, Alexandre Ern, Virginie Ehrlacher

Publication date: 26 September 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.00511

zbMATH Keywords

heat transfernonlinear PDEsempirical interpolation methodparabolic PDEsreduced-basis methodPREIM

Mathematics Subject Classification ID

Related Items (8)

An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation ⋮ A hyper-reduced MAC scheme for the parametric Stokes and Navier-Stokes equations ⋮ A training set subsampling strategy for the reduced basis method ⋮ A modelling framework for efficient reduced order simulations of parametrised lithium-ion battery cells ⋮ Multi‐fidelity error estimation accelerates greedy model reduction of complex dynamical systems ⋮ Reduced order modelling for a rotor-stator cavity using proper orthogonal decomposition ⋮ Reducing sensors for transient heat transfer problems by means of variational data assimilation ⋮ Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models

Uses Software

• FreeFem++
• redbKIT

Cites Work

• Unnamed Item
• Unnamed Item
• An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
• Theory and practice of finite elements.
• A general multipurpose interpolation procedure: The magic points
• CERTIFIED REDUCED BASIS METHODS FOR NONAFFINE LINEAR TIME-VARYING AND NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS
• Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation
• Certified Reduced Basis Methods for Parametrized Partial Differential Equations
• Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
• Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems
• Convergence Rates of the POD–Greedy Method
• Reduced-basis output bound methods for parabolic problems
• Reduced Basis Methods for Partial Differential Equations
• Galerkin proper orthogonal decomposition methods for parabolic problems
• Simultaneous empirical interpolation and reduced basis method for non-linear problems

This page was built for publication: A Progressive Reduced Basis/Empirical Interpolation Method for Nonlinear Parabolic Problems