A greedy MOR method for the tracking of eigensolutions to parametric elliptic PDEs

Estimates of eigenvalues in context of PDEs (35P15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Robust parameter designs (62K25) Model reduction in optics and electromagnetic theory (78M34)

Cites Work

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On the shortest spanning subtree of a graph and the traveling salesman problem
Approximate methods for stochastic eigenvalue problems
Multiparametric shell eigenvalue problems
Uncertainty quantification for Maxwell's eigenproblem based on isogeometric analysis and mode tracking
Least-squares Padé approximation of parametric and stochastic Helmholtz maps
Regularity and sparse approximation of the recursive first moment equations for the lognormal Darcy problem
A nonintrusive reduced order modelling approach using proper orthogonal decomposition and locally adaptive sparse grids
Tensor train approximation of moment equations for elliptic equations with lognormal coefficient
Stochastic collocation method for computing eigenspaces of parameter-dependent operators
A Static condensation Reduced Basis Element method : approximation anda posteriorierror estimation
Finite element approximation of eigenvalue problems
Sparse Tensor Approximation of Parametric Eigenvalue Problems
Perturbation Analysis for the Darcy Problem with Log-Normal Permeability
Certified Reduced Basis Methods for Parametrized Partial Differential Equations
Reduced basis approximation anda posteriorierror estimates for parametrized elliptic eigenvalue problems
Simultaneous reduced basis approximation of parameterized elliptic eigenvalue problems
Spectral Methods for Uncertainty Quantification
Output bounds for reduced-basis approximations of symmetric positive definite eigenvalue problems
Convergence analysis of Padé approximations for Helmholtz frequency response problems
Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates
Fast Least-Squares Padé approximation of problems with normal operators and meromorphic structure
Sparse grids
On Uncertainty Quantification of Eigenvalues and Eigenspaces with Higher Multiplicity
Rational-approximation-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots
Algorithm 1040: the Sparse Grids Matlab Kit -- a Matlab implementation of sparse grids for high-dimensional function approximation and uncertainty quantification

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