Fundamentals of reduced basis method for problems governed by parametrized PDEs and applications

DOI10.1007/978-3-7091-1794-1_4zbMath1312.93027OpenAlexW59865758MaRDI QIDQ5253314

Gianluigi Rozza

Publication date: 5 June 2015

Published in: Separated Representations and PGD-Based Model Reduction (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7091-1794-1_4

zbMATH Keywords

parametrized partial differential equations (PDEs), Galerkin finite element (FE) methodreduced basis (\(RB\)) approximations

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) System structure simplification (93B11)

Related Items (11)

Reduced basis methods for time-dependent problems ⋮ Parametric solutions of turbulent incompressible flows in OpenFOAM via the proper generalised decomposition ⋮ kPCA-based parametric solutions within the PGD framework ⋮ Digital twins that learn and correct themselves ⋮ An overlapping domain decomposition method for the solution of parametric elliptic problems via proper generalized decomposition ⋮ Model order reduction for deforming domain problems in a time‐continuous space‐time setting ⋮ Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations ⋮ Solution of geometrically parametrised problems within a CAD environment via model order reduction ⋮ Hybridisable discontinuous Galerkin solution of geometrically parametrised Stokes flows ⋮ Hierarchical Model Reduction Techniques for Flow Modeling in a Parametrized Setting ⋮ Long-time Reynolds averaging of reduced order models for fluid flows: Preliminary results

Uses Software

• rbMIT

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