Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions

DOI10.1016/j.cma.2019.05.027zbMath1441.74289arXiv1902.04095OpenAlexW2951074797WikidataQ127804286 ScholiaQ127804286MaRDI QIDQ1988154

Tao Yin, Gang Bao, Liwei Xu

Publication date: 16 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04095

zbMATH Keywords

boundary element methodelastic waveregularized formulationhyper-singular boundary integral operatorthermoelastic wave

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Thermal effects in solid mechanics (74F05) Fredholm integral equations (45B05) Boundary element methods for boundary value problems involving PDEs (65N38) PDEs in connection with mechanics of deformable solids (35Q74) Boundary value problems for second-order elliptic systems (35J57)

Related Items (6)

Regularized hyper-singular boundary integral equation methods for three-dimensional poroelastic problems ⋮ A singular boundary method for transient coupled dynamic thermoelastic analysis ⋮ A Highly Accurate Perfectly-Matched-Layer Boundary Integral Equation Solver for Acoustic Layered-Medium Problems ⋮ A windowed Green function method for elastic scattering problems on a half-space ⋮ Regularized integral equation methods for elastic scattering problems in three dimensions ⋮ An Accurate HyperSingular Boundary Integral Equation Method for Dynamic Poroelasticity in Two Dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A fast and high-order method for the three-dimensional elastic wave scattering problem
• The coated thermoelastic body within a low-frequency elastodynamic field
• A system of boundary integral equations for the transmission problem in acoustics
• A high order spectral algorithm for elastic obstacle scattering in three dimensions
• Boundary element methods in three-dimensional thermoelasticity
• Boundary integral equation method in thermoelasticity. I: General analysis
• Non-reflecting boundary conditions for elastic waves
• Boundary integral equations
• Multilevel fast multipole algorithm for elastic wave scattering by large three-dimensional objects
• Integral equations with non integrable kernels
• Hypersingular boundary integral equations for radiation and scattering of elastic waves in three dimensions
• The boundary integro-differential equations of three-dimensional Neumann problem in linear elasticity
• Direct and inverse elastic scattering from anisotropic media
• An accurate boundary element method for the exterior elastic scattering problem in two dimensions
• On non-reflecting boundary conditions in unbounded elastic solids
• Inverse obstacle scattering for elastic waves in three dimensions
• High-accuracy quadrature methods for solving boundary integral equations of axisymmetric elasticity problems
• The fast solution of boundary integral equations.
• Nyström method for elastic wave scattering by three-dimensional obstacles
• A multi-level fast multipole BEM for 3-D elastodynamics in the frequency domain
• Inverse obstacle scattering for elastic waves
• On Rayleigh Expansions in Thermoelastic Scattering
• Thermoelasticity and Irreversible Thermodynamics
• The Scattering Amplitudes and Cross Sections in the Theory of Thermoelasticity
• Numerical Solution of an Exterior Neumann Problem Using a Double Layer Potential
• The Atkinson-Wilcox theorem in thermoelasticity
• A Fast Fourier--Galerkin Method Solving a Boundary Integral Equation for the Biharmonic Equation
• Boundary Integral Equation Methods for the Two-Dimensional Fluid-Solid Interaction Problem
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

This page was built for publication: Boundary integral equation methods for the elastic and thermoelastic waves in three dimensions