Rational-approximation-based model order reduction of Helmholtz frequency response problems with adaptive finite element snapshots
DOI10.3934/mine.2023074arXiv2112.04302MaRDI QIDQ6195619
Michele Ruggeri, Francesca Bonizzoni, Davide Pradovera
Publication date: 14 March 2024
Published in: Mathematics in Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.04302
rational approximationfrequency responsemodel order reductionadaptive mesh Refinementparametric Helmholtz equation
PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Numerical interpolation (65D05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Singularity in context of PDEs (35A21) Numerical methods for partial differential equations, boundary value problems (65N99) Classical solutions to PDEs (35A09) Model reduction in optics and electromagnetic theory (78M34)
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