Boundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximation
Sign Up to like & getrecommendations! Published in 2022 at "Numerische Mathematik"
DOI: 10.1007/s00211-021-01259-8
Abstract: Time-domain Boundary Element Methods (BEM) have been successfully used in acoustics, optics and elastodynamics to solve transient problems numerically. However, the storage requirements are immense, since the fully populated system matrices have to be computed… read more here.
Keywords: boundary element; wave equation; cross approximation; approximation ... See more keywords
Fast Construction of Measurement Matrix and Sensing Matrix With Dual Adaptive Cross Approximation
Sign Up to like & getrecommendations! Published in 2025 at "IEEE Antennas and Wireless Propagation Letters"
DOI: 10.1109/lawp.2024.3481498
Abstract: To accelerate the solution of current coefficients in the compressive sensing method of moments, a new strategy for constructing the measurement matrix is proposed, as well as the sensing matrix is optimized. First, the far-field… read more here.
Keywords: measurement matrix; sensing matrix; matrix; adaptive cross ... See more keywords
Improving the Accuracy of the Adaptive Cross Approximation With a Convergence Criterion Based on Random Sampling
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Antennas and Propagation"
DOI: 10.1109/tap.2020.3010857
Abstract: The accuracy of the adaptive cross approximation (ACA) algorithm, a popular method for the compression of low-rank matrix blocks in method of moment computations, is sometimes seriously compromised by unpredictable errors in the convergence criterion.… read more here.
Keywords: accuracy adaptive; convergence; cross approximation; adaptive cross ... See more keywords
Preconditioned Localized-Solution Iterative Solver With Nested Cross Approximation for Large Arrays
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DOI: 10.1109/tap.2024.3410519
Abstract: A localized solution-based iterative solver for method of moments (MoM) analysis of large antenna arrays with disjoint, nonidentical elements is presented. The formulation introduces computational cost reducing extensions for the direct coupling technique (DCT), which… read more here.
Keywords: localized solution; solution; large arrays; nested cross ... See more keywords
Combination of Adaptive Cross Approximation and Asymptotic Waveform Evaluation for Efficient Analysis of Wide-Band RCS
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DOI: 10.1109/tap.2025.3589667
Abstract: The adaptive cross approximation (ACA) combined with the asymptotic waveform evaluation (AWE) is proposed for efficient analysis of wide-band RCS. Conventional AWE requires filling the higher order impedance matrix, but the higher order impedance matrix… read more here.
Keywords: matrix; waveform evaluation; asymptotic waveform; adaptive cross ... See more keywords