Reduced basis approximation of parametric eigenvalue problems in presence of clusters and intersections
DOI10.1007/S40314-024-02917-XMaRDI QIDQ6636467
Gopal Priyadarshi, Abdul Hakim Halim, Daniele Boffi
Publication date: 12 November 2024
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
finite element methodsingular value decompositionparametric eigenvalue problemreduced order methodsnapshot matrix
Estimates of eigenvalues in context of PDEs (35P15) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical methods for low-rank matrix approximation; matrix compression (65F55)
Cites Work
- Uncertainty quantification for Maxwell's eigenproblem based on isogeometric analysis and mode tracking
- A reduced order model for the finite element approximation of eigenvalue problems
- Certified Reduced Basis Methods for Parametrized Partial Differential Equations
- A POD reduced-order model for eigenvalue problems with application to reactor physics
- Reduced basis approximation anda posteriorierror estimates for parametrized elliptic eigenvalue problems
- Simultaneous reduced basis approximation of parameterized elliptic eigenvalue problems
- A general formulation for a posteriori bounds for output functionals of partial differential equations; application to the eigenvalue problem
- A Mathematical and Computational Framework for Reliable Real-Time Solution of Parametrized Partial Differential Equations
- Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems
- Reduced Basis Methods for Partial Differential Equations
- Data-driven reduced order modeling for parametric PDE eigenvalue problems using Gaussian process regression
- A data-driven method for parametric PDE eigenvalue problems using Gaussian process with different covariance functions
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