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Over the last couple of decades, there has been a surge in various approaches to multiple-point statistics simulation, commonly referred to as MPS. These methods have aimed to improve several critical aspects of realism in the results,…

Ultrasonic guided waves offer a convenient and practical approach to structural health monitoring and non-destructive evaluation, thanks to some distinct advantages. Guided waves, in particular Lamb waves, can be used to localise damage by…

The numerical analysis of elastic wave propagation in unbounded media may be difficult due to spurious waves reflected at the model artificial boundaries. This point is critical for the analysis of wave propagation in heterogeneous or…

Computational Physics · Physics 2010-09-07 Jean-François Semblat , Luca Lenti , Ali Gandomzadeh

Elastic metasurfaces offer precise control over elastic waves for applications such as vibration isolation, sensing, and imaging. However, achieving high-efficiency and scattering-free performance with complex functionalities remains a…

Applied Physics · Physics 2025-12-15 Chun Min Li , Wenjing Ye

This paper investigates the application of a fast-wave slow-wave spectral deferred correction time-stepping method (FWSW-SDC) to the compressible Euler equations. The resulting model achieves arbitrary order accuracy in time, demonstrating…

Numerical Analysis · Mathematics 2025-05-23 Alex Brown , Joscha Fregin , Thomas Bendall , Thomas Melvin , Daniel Ruprecht , Jemma Shipton

We present a projection-based numerical integration technique to deal with embedded interface in finite element (FE) framework. The element cut by an embedded interface is denoted as a cut cell. We recognize elemental matrices of a cut cell…

Numerical Analysis · Mathematics 2020-05-05 Bin Liu , Rajeev Kumar Jaiman , Danielle Sweimann Tan

The global trends in the construction of modern structures require the integration of sensors together with data recording and analysis modules so that their integrity can be continuously monitored for safe-life, economic and ecological…

Signal Processing · Electrical Eng. & Systems 2025-04-08 M-A Torres-Arredondo , Julián Sierra-Pérez , Guénaël Cabanes

Finite volume schemes are commonly used to construct approximate solutions to conservation laws. In this study we extend the framework of the finite volume methods to dispersive water wave models, in particular to Boussinesq type systems.…

Classical Physics · Physics 2020-02-20 Denys Dutykh , Theodoros Katsaounis , Dimitrios Mitsotakis

Ultrasonic guided waves offer a convenient and practical approach to structural health monitoring and non-destructive evaluation. A key property of guided waves is the fully-defined relationship between central frequency and propagation…

Catastrophic failure in brittle materials is often due to the rapid growth and coalescence of cracks aided by high internal stresses. Hence, accurate prediction of maximum internal stress is critical to predicting time to failure and…

We consider the numerical approximation of acoustic wave propagation problems by mixed BDM(k+1)-P(k) finite elements on unstructured meshes. Optimal convergence of the discrete velocity and super-convergence of the pressure by one order are…

Numerical Analysis · Mathematics 2019-05-27 Herbert Egger , Bogdan Radu

We extend the framework of the finite volume method to dispersive unidirectional water wave propagation in one space dimension. In particular we consider a KdV-BBM type equation. Explicit and IMEX Runge-Kutta type methods are used for time…

Classical Physics · Physics 2020-01-09 Denys Dutykh , Theodoros Katsaounis , Dimitrios Mitsotakis

The Scaled Boundary Finite Element Method is a novel semi-analytical method jointly developed by Chongmin Song and John P Wolf to solve problems in elastodynamics and allied problems in civil engineering. This novel method has been recently…

Computational Physics · Physics 2007-05-23 V. S. Prasanna Rajan

The paper is concerned with the development of efficient and accurate solution procedures for the isogeometric boundary element method (BEM) when applied to problems that contain inclusions that have elastic properties different to the…

Numerical Analysis · Mathematics 2020-10-28 Gernot Beer , Eugenio Ruocco , Christian Duenser , Vincenzo Mallardo

We present a new method of wavelet packet decomposition to be used in gravitational wave detection. An issue in wavelet analysis is what is the time-frequency resolution which is best suited to analyze data when in quest of a signal of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Riccardo Sturani , Roberto Terenzi

Full Waveform Inversion (FWI) is an important geophysical technique considered in subsurface property prediction. It solves the inverse problem of predicting high-resolution Earth interior models from seismic data. Traditional FWI methods…

The Walker-Anderson half-space penetration model has been successfully used for the rapid, efficient calculation of penetration of walls by rigid and eroding rods. These models align well with detailed simulations for thick targets;…

Applied Physics · Physics 2025-08-26 Trenton Kirchdoerfer

Inspired by the key principle behind the EM algorithm, we propose a general methodology for conducting wavelet estimation with irregularly-spaced data by viewing the data as the observed portion of an augmented regularly-spaced data set. We…

Statistics Theory · Mathematics 2007-06-13 Thomas C. M. Lee , Xiao-Li Meng

Cracking Elements Method (CEM) is a numerical tool to simulate quasi-brittle fractures, which does not need remeshing, nodal enrichment, or complicated crack tracking strategy. The cracking elements used in the CEM can be considered as a…

Computational Engineering, Finance, and Science · Computer Science 2024-07-25 Xueya Wang , Yiming Zhang , Minjie Wen , Herbert Mang

Accurate measurement of light wavelength is critical for applications in spectroscopy, optical communication, and semiconductor manufacturing, ensuring precision and consistency of sensing, high-speed data transmission and device…