Discontinuous Galerkin Model Order Reduction of Geometrically Parametrized Stokes Equation

DOI10.1007/978-3-030-55874-1_54zbMath1475.76061arXiv1912.09787OpenAlexW2996755776MaRDI QIDQ5152851

Nirav Vasant Shah, Martin W. Hess, Gianluigi Rozza

Publication date: 27 September 2021

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.09787

zbMATH Keywords

Stokes flowproper orthogonal decompositiondiscontinuous Galerkin methodgeometric parametrization

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Cites Work

• A discontinuous Galerkin reduced basis element method for elliptic problems
• Certified Reduced Basis Methods for Parametrized Partial Differential Equations
• Energy norm a posteriori error estimation for divergence‐free discontinuous Galerkin approximations of the Navier–Stokes equations
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• Discontinuous Galerkin Method
• The Compact Discontinuous Galerkin (CDG) Method for Elliptic Problems