An LP empirical quadrature procedure for parametrized functions
From MaRDI portal
Publication:1681553
DOI10.1016/j.crma.2017.10.020zbMath1377.65074OpenAlexW2767249151MaRDI QIDQ1681553
Anthony T. Patera, Masayuki Yano
Publication date: 23 November 2017
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.crma.2017.10.020
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (11)
Sparse data-driven quadrature rules via \(\ell^p\)-quasi-norm minimization ⋮ Efficient hyperreduction of high-order discontinuous Galerkin methods: element-wise and point-wise reduced quadrature formulations ⋮ Empirical interscale finite element method (EIFEM) for modeling heterogeneous structures via localized hyperreduction ⋮ CECM: a continuous empirical cubature method with application to the dimensional hyperreduction of parameterized finite element models ⋮ Recent contributions to linear semi-infinite optimization: an update ⋮ A two-level parameterized model-order reduction approach for time-domain elastodynamics ⋮ An LP empirical quadrature procedure for reduced basis treatment of parametrized nonlinear PDEs ⋮ Discontinuous Galerkin reduced basis empirical quadrature procedure for model reduction of parametrized nonlinear conservation laws ⋮ An offline/online procedure for dual norm calculations of parameterized functionals: empirical quadrature and empirical test spaces ⋮ Goal-oriented model reduction for parametrized time-dependent nonlinear partial differential equations ⋮ Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs
Cites Work
- A mathematical introduction to compressive sensing
- A necessary and sufficient condition for exact sparse recovery by \(\ell_1\) minimization
- Extensions of Gauss quadrature via linear programming
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
- Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models
- Sparse and Redundant Representations
This page was built for publication: An LP empirical quadrature procedure for parametrized functions