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We consider the preconditioned conjugate gradient method (PCG) with optimal preconditioner in the frame of the boundary element method (BEM) for elliptic first-kind integral equations. Our adaptive algorithm steers the termination of PCG as…

Numerical Analysis · Mathematics 2019-03-21 Thomas Führer , Alexander Haberl , Dirk Praetorius , Stefan Schimanko

In this paper we propose an enhanced version of the residual sub-sampling method (RSM) in [9] for adaptive interpolation by radial basis functions (RBFs). More precisely, we introduce in the context of sub-sampling methods a maximum profile…

Numerical Analysis · Mathematics 2022-03-29 R. Cavoretto A. De Rossi

In this paper, we propose a MIM (metallic metasurface-insulator-metal) stacked structure to realize perfect absorption in mid- and far- infrared bandwidth. A large number of metallic composite metallic units placed on a uniform layer of…

Optics · Physics 2022-05-20 Xing-Yu Xu , Zhong-Zhu Liang , Li Qin , Xue-Mei Su

For some anisotropic wave models, the PML (perfectly matched layer) method of open boundaries can become polynomially or exponentially unstable in time. In this work we present a new method of open boundaries, the phase space filter, which…

Numerical Analysis · Mathematics 2008-05-20 Avy Soffer , Chris Stucchio

In this paper we present a hybrid neural network augmented physics-based modeling (APBM) framework for Bayesian nonlinear latent space estimation. The proposed APBM strategy allows for model adaptation when new operation conditions come…

Machine Learning · Computer Science 2022-09-16 Tales Imbiriba , Ahmet Demirkaya , Jindřich Duník , Ondřej Straka , Deniz Erdoğmuş , Pau Closas

In this paper, we consider artificial boundary conditions for the linearized mixed Korteweg-de Vries (KDV) Benjamin-Bona-Mahoney (BBM) equation which models water waves in the small amplitude, large wavelength regime. Continuous…

Analysis of PDEs · Mathematics 2017-06-28 Christophe Besse , Pascal Noble , David Sanchez

The computational cost of the boundary-condition-enforced immersed boundary method (IBM) increases in the order of $\mathcal{O}(N^2)$ as the number of Lagrangian points, $N$, increases. This is due to the time-consuming calculation of the…

Fluid Dynamics · Physics 2024-03-25 Manabu Saito , Ryoichi Kurose

The numerical analysis of elastic wave propagation in unbounded media may be difficult to handle due to spurious waves reflected at the model artificial boundaries. Several sophisticated techniques such as nonreflecting boundary conditions,…

Classical Physics · Physics 2010-09-06 Jean-François Semblat , Ali Gandomzadeh , Luca Lenti

We consider the numerical approximation of boundary conditions in radiative transfer problems by a perfectly matched layer approach. The main idea is to extend the computational domain by an absorbing layer and to use an appropriate…

Numerical Analysis · Mathematics 2018-02-26 Herbert Egger , Matthias Schlottbom

The boundary element method (BEM) enables the efficient electromagnetic modelling of lossy conductors with a surface-based discretization. Existing BEM techniques for conductor modelling require either expensive dual basis functions or the…

Computational Physics · Physics 2020-12-29 Shashwat Sharma , Piero Triverio

The conditions for optimal reflection-free complex-absorbing potentials (CAPs) are discussed. It is shown that the CAPs as derived from the smooth-exterior-scaling transformation of the Hamiltonian,[J. Phys. B. 31, 1431 (1998)], serve as…

Quantum Physics · Physics 2009-11-11 Oded Shemer , Daria Brisker , Nimrod Moiseyev

We propose a low-complexity receiver structure for the recently introduced Affine Filter Bank Modulation (AFBM) scheme, which is a novel waveform designed for integrated sensing and communications (ISAC) systems operating in…

Signal Processing · Electrical Eng. & Systems 2025-06-23 Kuranage Roche Rayan Ranasinghe , Bruno S. Chang , Giuseppe Thadeu Freitas de Abreu

Numerical simulation of wave propagation in an infinite medium is made possible by surrounding a finite region by a perfectly matched layer (PML). Using this approach a generalized three-dimensional (3D) formulation is proposed for…

Numerical Analysis · Mathematics 2016-12-21 Hisham Assi , Richard S. C. Cobbold

Simulation of the acoustic wave equation plays an important role in various applications, including audio engineering, medical imaging, and fluid dynamics. However, the complexity of the propagation medium can pose challenges, such as the…

Numerical Analysis · Mathematics 2024-11-20 Tao Yu , Tailong Jin , Yanfeng Shen , Lei Zhang

Probing beam measurement (PBM)-based hybrid beamforming provides a feasible solution for cell-free MIMO. In this letter, we propose a novel probing beam optimization framework where three collaborative modules respectively realize PBM…

Information Theory · Computer Science 2024-09-23 Cheng Zhang , Shuangbo Xiong , Mengqing He , Lan Wei , Yongming Huang , Wei Zhang

We present three new semi-Lagrangian methods based on radial basis function (RBF) interpolation for numerically simulating transport on a sphere. The methods are mesh-free and are formulated entirely in Cartesian coordinates, thus avoiding…

Numerical Analysis · Mathematics 2018-05-09 Varun Shankar , Grady Wright

Inferring electromagnetic propagation characteristics within the marine atmospheric boundary layer (MABL) from data in real time is crucial for modern maritime navigation and communications. The propagation of electromagnetic waves is well…

Atmospheric and Oceanic Physics · Physics 2019-01-23 Marc Aurèle Gilles , Christopher Earls , David Bindel

This work is concerned with a unique combination of high order local absorbing boundary conditions (ABC) with a general curvilinear Finite Element Method (FEM) and its implementation in Isogeometric Analysis (IGA) for time-harmonic acoustic…

Numerical Analysis · Mathematics 2019-03-27 Tahsin Khajah , Vianey Villamizar

In this study, we apply the Analytical method of Blind Separation (ABS) of the cosmic microwave background (CMB) from foregrounds to estimate the CMB temperature power spectrum from multi-frequency microwave maps. We test the robustness of…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-21 Jian Yao , Le Zhang , Yuxi Zhao , Pengjie Zhang , Larissa Santos , Jun Zhang

In this paper, a nonsmooth semilinear parabolic partial differential equation (PDE) is considered. For a reduced basis (RB) approach, a space-time formulation is used to develop a certified a-posteriori error estimator. This error estimator…

Numerical Analysis · Mathematics 2022-12-29 Marco Bernreuther , Stefan Volkwein