Compressed Absorbing Boundary Conditions via Matrix Probing

DOI10.1137/14095563XzbMath1326.65057arXiv1401.4421OpenAlexW1830441176MaRDI QIDQ3196612

R. Bélanger-Rioux, Laurent Demanet

Publication date: 30 October 2015

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.4421

zbMATH Keywords

absorbing boundary conditionheterogeneous mediafittingHelmholtz equationnonreflecting boundary conditionopen boundary conditionmatrix probingradiating boundary conditionrandom Dirichlet data

Mathematics Subject Classification ID

Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30)

Related Items (7)

Construction and Numerical Assessment of Local Absorbing Boundary Conditions for Heterogeneous Time-Harmonic Acoustic Problems ⋮ Double sweep preconditioner for optimized Schwarz methods applied to the Helmholtz problem ⋮ Cornerstones of Sampling of Operator Theory ⋮ The method of polarized traces for the 2D Helmholtz equation ⋮ Scalable Matrix-Free Adaptive Product-Convolution Approximation for Locally Translation-Invariant Operators ⋮ Estimation of linear operators from scattered impulse responses ⋮ Model order reduction of layered waveguides via rational Krylov fitting

Uses Software

• UMFPACK

Cites Work

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