A CONVERGENT NUMERICAL APPROXIMATION FOR THE COUPLED MAXWELL-LANDAU-LIFSHITZ-GILBERT EQUATIONS WITH INERTIA EFFECTS: A convergent numerical approximation for the coupled Maxwell-Landau-Lifshitz-Gilbert equations with inertia effects

Authors: Kitengeso, Raymond, Zheng, Zhoushun

Source: Journal of Applied Analysis & Computation. 15:1719-1741

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, convergence, Maxwell equations, Maxwell, FEM-BEM, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Landau-Lifshitz-Gilbert, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs

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Access URL: https://zbmath.org/8011324
https://doi.org/10.11948/20240364

Generalised adaptive cross approximation for convolution quadrature based boundary element formulation

Authors: A.M. Haider, S. Rjasanow, M. Schanz

Source: Computers & Mathematics with Applications. 175:470-486

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, 35L05, 65M38, 65R20, generalised convolution quadrature, FOS: Mathematics, Wave equation, multivariate adaptive cross approximation, wave equation, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Numerical methods for integral equations, 0101 mathematics, 01 natural sciences, boundary element method

File Description: application/xml

Access URL: http://arxiv.org/abs/2312.11219
https://zbmath.org/7967225
https://doi.org/10.1016/j.camwa.2024.10.025

Three-dimensional hybrid SAFE-BEM for elastic guided-wave scattering in a plate with finite width

Authors: Taizo Maruyama, Kosuke Kanda, Sumika Yamada

Source: Engineering Analysis with Boundary Elements. 163:426-435

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, Wave scattering in solid mechanics, semi-analytical finite-element method, elastic wave, Thermodynamics in solid mechanics, guided wave, boundary element method

File Description: application/xml

Access URL: https://zbmath.org/7855392
https://doi.org/10.1016/j.enganabound.2024.03.027

Modeling and experiments on the vibro-acoustic analysis of ring stiffened cylindrical shells with internal bulkheads: A comparative study: Modeling and experiments on the vibro-acoustic analysis of ring stiffened cylindrical shells with internal bulkheads: a comparative study

Authors: Cong Gao, Jiawei Xu, Fuzhen Pang, Haichao Li, Kai Wang

Source: Engineering Analysis with Boundary Elements. 162:239-257

Subject Terms: Finite difference methods applied to problems in solid mechanics, Boundary element methods for initial value and initial-boundary value problems involving PDEs, Vibrations in dynamical problems in solid mechanics, experiment, Finite difference methods for initial value and initial-boundary value problems involving PDEs, impact loading, narrow band random loading, ring stiffened cylindrical shell, Boundary element methods applied to problems in solid mechanics, vibro-acoustic response, boundary element method

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Implementation of DRBEM for coupled sine-Gordon equations

Authors: Nagehan Alsoy-Akgün

Source: Engineering Analysis with Boundary Elements. 156:407-431

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, coupled sine-Gordon equation (CSGE), 0103 physical sciences, finite difference method (FDM), 0101 mathematics, dual reciprocity boundary element method (DRBEM), modified Helmholtz equation (MHE), 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/7849712
https://doi.org/10.1016/j.enganabound.2023.08.019
https://avesis.yyu.edu.tr/publication/details/c0fa75ef-2b8c-4a55-8ef5-0a8984cd8c27/oai

Modified BEM for scattering analysis by a flaw at interface in an anisotropic multi-layered plate

Authors: Chen Yang, Bin Wang, Zhenghua Qian, Sohichi Hirose

Source: Engineering Analysis with Boundary Elements. 152:704-727

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, Wave scattering in solid mechanics, 2-d modified BEM, infinite boundary, guided wave scattering, Anisotropy in solid mechanics, anisotropy, Plates, Boundary element methods applied to problems in solid mechanics

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Access URL: https://zbmath.org/7848478
https://doi.org/10.1016/j.enganabound.2023.04.028

WBEM-based analysis of band structures of solid-solid and fluid-fluid phononic crystals with frequency-independent fundamental solutions

Authors: Wei, Qi, Xiang, Jiawei, Zhu, Weiping, Hu, Hongjiu

Source: Engineering Analysis with Boundary Elements. 151:439-456

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, domain integral, matrix compression, band structure, Numerical methods for wavelets, wavelet-based boundary element method, Numerical methods for low-rank matrix approximation, B-spline wavelet on the interval, phononic crystals, Boundary element methods applied to problems in solid mechanics

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A front-tracking immersed-boundary framework for simulating Lagrangian melting problems

Authors: Kevin Zhong, Christopher J. Howland, Detlef Lohse, Roberto Verzicco

Source: Journal of Computational Physics. 525:113762

Subject Terms: Stefan problems, Numerical methods for eigenvalue problems for boundary value problems involving PDEs, fluid-solid interaction, phase change, multiphase flow, one-fluid model, eulerian-Lagrangian, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, turbulent flows, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Boundary element methods for initial value and initial-boundary value problems involving PDEs, immersed boundary method, Boundary element methods applied to problems in fluid mechanics, meshing, heat transfer

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Access URL: http://arxiv.org/abs/2409.20244
https://zbmath.org/8021068
https://doi.org/10.1016/j.jcp.2025.113762

One-side diffuse-interface immersed boundary method for compressible flows

Authors: Buchen Wu, Yaguang Liu, Lin Fu

Source: Journal of Computational Physics. 523:113667

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, immersed boundary method, continuous forcing, Boundary element methods applied to problems in fluid mechanics, compressible flows, diffuse interface method

File Description: application/xml

A natural boundary element reduced-dimension model for uniform high-voltage transmission line problem in an unbounded outer domain

Authors: Teng, Fei, Luo, Zhen Dong

Source: Computational and Applied Mathematics. 43

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, proper orthogonal decomposition, Error bounds for boundary value problems involving PDEs, reduced-dimension recurrence method, Numerical methods for partial differential equations, boundary value problems, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Boundary element methods for boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, uniform high-voltage transmission line problem, natural boundary element

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Access URL: https://zbmath.org/7841113
https://doi.org/10.1007/s40314-024-02617-6

Investigation on responses and wave climbing of a ship in large waves using a fully nonlinear boundary element method

Authors: Chuan-Jie Zhang, Jia-Le Wang, Rong-Qi Chen, Sun Shili, Hui Li

Source: Engineering Analysis with Boundary Elements. 125:250-263

Subject Terms: fully nonlinear method, Boundary element methods for initial value and initial-boundary value problems involving PDEs, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, wave climbing, Boundary element methods applied to problems in fluid mechanics, 0103 physical sciences, 0101 mathematics, Ship waves, 01 natural sciences, boundary element method, large waves

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S095579972100028X

A Highly Efficient Reduced-Order Extrapolating Model for the 2D Viscoelastic Wave Equation: A highly efficient reduced-order extrapolating model for the 2D viscoelastic wave equation

Authors: Teng, Fei, Luo, Zhendong

Source: Advances in Applied Mathematics and Mechanics. 13:355-377

Subject Terms: Extrapolation to the limit, deferred corrections, viscoelastic wave equation, highly efficient reduced-order extrapolating model, Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs, 01 natural sciences, natural boundary element, Boundary element methods for initial value and initial-boundary value problems involving PDEs, Error bounds for initial value and initial-boundary value problems involving PDEs, proper orthogonal decomposition, Boundary element methods applied to problems in fluid mechanics, 0101 mathematics, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Viscoelastic fluids, numerical experiments, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Access URL: https://zbmath.org/7409119
https://doi.org/10.4208/aamm.oa-2019-0351

The scaled boundary finite element method based on the hybrid quadtree mesh for solving transient heat conduction problems

Authors: Bo Yu, Albert A. Saputra, Pengmin Hu, Yan Gu

Source: Applied Mathematical Modelling. 89:541-571

Subject Terms: transient heat conduction problems, Boundary element methods for initial value and initial-boundary value problems involving PDEs, hybrid quadtree mesh, Boundary element methods applied to problems in thermodynamics and heat transfer, fiber inclusions, Diffusive and convective heat and mass transfer, heat flow, 0101 mathematics, 01 natural sciences, scaled boundary finite element method, crack problems

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0307904X20304005

Precision controllable Gaver–Wynn–Rho algorithm in Laplace transform triple reciprocity boundary element method for three dimensional transient heat conduction problems: Precision controllable Gaver-Wynn-Rho algorithm in Laplace transform triple reciprocity boundary element method for three dimensional transient heat conduction problems

Authors: Shuaiping Guo, Hongguang Li, Xinming Fan, Kuidong Gao

Source: Engineering Analysis with Boundary Elements. 114:166-177

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, Boundary element methods applied to problems in thermodynamics and heat transfer, 0103 physical sciences, transient heat conduction, Diffusive and convective heat and mass transfer, heat flow, precision controllable Gaver-Wynn-Rho, 0101 mathematics, triple reciprocity method, 01 natural sciences, boundary element method

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0955799720300552

Fully nonlinear investigation of focused wave slamming on a freely rotating flap

Authors: Yong Cheng, Gen Li, Chunyan Ji, Gangjun Zhai

Source: Engineering Analysis with Boundary Elements. 110:24-41

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, wave slamming, oscillating wave surge converter, HOBEM, Boundary element methods applied to problems in fluid mechanics, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, splash jet, fully nonlinear, focused wave, 0103 physical sciences, Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/7153239
https://doi.org/10.1016/j.enganabound.2019.10.005
https://www.sciencedirect.com/science/article/pii/S0955799719306113

A Fourier spectral immersed boundary method with exact translation invariance, improved boundary resolution, and a divergence-free velocity field

Authors: Zhe Chen, Charles S. Peskin

Source: Journal of Computational Physics. 509:113048

Subject Terms: nonuniform fast Fourier transform, viscous incompressible flow, Fluid Dynamics (physics.flu-dyn), fluid-structure interaction, FOS: Physical sciences, Physics - Fluid Dynamics, Numerical Analysis (math.NA), Fourier spectral method, 01 natural sciences, Boundary element methods for initial value and initial-boundary value problems involving PDEs, immersed boundary method, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, thin elastic boundary, Numerical methods for discrete and fast Fourier transforms, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

File Description: application/xml

Access URL: http://arxiv.org/abs/2302.08694
https://zbmath.org/8021012
https://doi.org/10.1016/j.jcp.2024.113048

BEM-based fast frequency sweep for acoustic scattering by periodic slab

Authors: Yuta Honshuku, Hiroshi Isakari

Source: Journal of Computational Physics. 509:113046

Subject Terms: periodic structure, Boundary element methods for initial value and initial-boundary value problems involving PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, phononic crystal, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), fast boundary element method, Padé approximation, 01 natural sciences, Boundary element methods applied to problems in optics and electromagnetic theory, fast frequency sweep

File Description: application/xml

Access URL: http://arxiv.org/abs/2305.08474
https://zbmath.org/8021010
https://doi.org/10.1016/j.jcp.2024.113046

An Enhanced Spectral Boundary Integral Method for Modeling Highly Nonlinear Water Waves in Variable Depth: An enhanced spectral boundary integral method for modeling highly nonlinear water waves in variable depth

Authors: Jinghua Wang

Source: SSRN Electronic Journal.

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, Physics - Atmospheric and Oceanic Physics, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, wave-seabed interactions, Boundary element methods applied to problems in fluid mechanics, Atmospheric and Oceanic Physics (physics.ao-ph), Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, boundary integral equation, Physics - Fluid Dynamics, Numerical quadrature and cubature formulas, fast Fourier transform, pseudo-spectrum method

File Description: application/xml

Access URL: http://arxiv.org/abs/2310.19840
https://zbmath.org/7974270
https://doi.org/10.1016/j.jcp.2024.113525

Current effects on nonlinear wave slamming by an Oscillating Wave Surge Converter: Current effects on nonlinear wave slamming by an oscillating wave surge converter

Authors: Chunyan Ji, Gen Li, Gangjun Zhai, Yong Cheng, Gaidai Oleg

Source: Engineering Analysis with Boundary Elements. 96:150-168

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, oscillating wave surge converter, Water waves, gravity waves, dispersion and scattering, nonlinear interaction, HOBEM, Boundary element methods applied to problems in fluid mechanics, jet flow, 0103 physical sciences, 0211 other engineering and technologies, 02 engineering and technology, current, pressure distribution, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/6958755
https://doi.org/10.1016/j.enganabound.2018.06.023
https://www.sciencedirect.com/science/article/pii/S0955799718301693
https://data.mendeley.com/datasets/m8h2nxsg32

A versatile immersed boundary method for high-fidelity simulation of Conjugate Heat Transfer: A versatile immersed boundary method for high-fidelity simulation of conjugate heat transfer

Authors: Rodrigo Vicente Cruz, Eric Lamballais

Source: Journal of Computational Physics. 488:112182

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, immersed boundary method, Boundary element methods applied to problems in thermodynamics and heat transfer, Boundary element methods applied to problems in fluid mechanics, turbulent pipe flow, Direct numerical and large eddy simulation of turbulence, conjugate heat transfer, direct numerical simulation, Diffusive and convective heat and mass transfer, heat flow, thermal boundary conditions

File Description: application/xml

Access URL: https://zbmath.org/7696958
https://doi.org/10.1016/j.jcp.2023.112182