Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method

DOI10.1016/j.camwa.2017.08.030zbMath1416.80006OpenAlexW2753308909MaRDI QIDQ2314268

Yan Gu, Xiaoqiao He, Wen Chen, Chuan-Zeng Zhang

Publication date: 22 July 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.08.030

zbMATH Keywords

boundary element methodanisotropic mediathin-walled structuresthree-dimensional problemsnearly singular integral

Mathematics Subject Classification ID

Boundary element methods applied to problems in thermodynamics and heat transfer (80M15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (74)

Boundary element analysis of thin structures using a dual transformation method for weakly singular boundary integrals ⋮ The localized method of fundamental solutions for 2D and 3D second-order nonlinear boundary value problems ⋮ A NURBS-enhanced improved interpolating boundary element-free method for 2D potential problems and accelerated by fast multipole method ⋮ The generalized finite difference method for in-plane crack problems ⋮ Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation ⋮ A speculative extension of the differential operator definition to fractal via the fundamental solution ⋮ Construction of special shape functions for triangular elements with one edge lying in the crack front ⋮ The generalized finite difference method for an inverse time-dependent source problem associated with three-dimensional heat equation ⋮ A typical backward substitution method for the simulation of Helmholtz problems in arbitrary 2D domains ⋮ Domain-decomposition generalized finite difference method for stress analysis in multi-layered elastic materials ⋮ A Numerical-Analytical Method for Time-Fractional Dual-Phase-Lag Models of Heat Transfer ⋮ A fast multipole boundary element method based on higher order elements for analyzing 2-D potential problems ⋮ A meshless radial basis function based method for modeling dual-phase-lag heat transfer in irregular domains ⋮ A boundary knot method for 3D time harmonic elastic wave problems ⋮ Hybrid nearly singular integration for three-dimensional isogeometric boundary element analysis of coatings and other thin structures ⋮ Bi-directional sinh transformations based on the generalized Duffy space for nearly singular integrals ⋮ NURBS-enhanced polygonal scaled boundary finite element method for heat diffusion in anisotropic media with internal heat sources ⋮ A direct Chebyshev collocation method for the numerical solutions of three-dimensional Helmholtz-type equations ⋮ Efficient evaluation of weakly singular integrals with Duffy-distance transformation in 3D BEM ⋮ Electroelastic Analysis of Two-Dimensional Piezoelectric Structures by the Localized Method of Fundamental Solutions ⋮ A modified dual-level fast multipole boundary element method for large-scale three-dimensional potential problems ⋮ Coupling of the improved singular boundary method and dual reciprocity method for multi-term time-fractional mixed diffusion-wave equations ⋮ NURBS-enhanced line integration boundary element method for 2D elasticity problems with body forces ⋮ A modified multilevel algorithm for large-scale scientific and engineering computing ⋮ Analyze the singularity of the heat flux with a singular boundary element ⋮ The boundary element method for elasticity problems with concentrated loads based on displacement singular elements ⋮ The generalized finite difference method for long-time dynamic modeling of three-dimensional coupled thermoelasticity problems ⋮ A regularized approach evaluating the near-boundary and boundary solutions for three-dimensional Helmholtz equation with wideband wavenumbers ⋮ A direct meshless method for solving two-dimensional second-order hyperbolic telegraph equations ⋮ Simulation of the band structure for scalar waves in 2D phononic crystals by the singular boundary method ⋮ A regularized approach evaluating origin intensity factor of singular boundary method for Helmholtz equation with high wavenumbers ⋮ Fracture mechanics analysis of two-dimensional cracked thin structures (from micro- to nano-scales) by an efficient boundary element analysis ⋮ A novel space-time meshless method for nonhomogeneous convection-diffusion equations with variable coefficients ⋮ Localized method of fundamental solutions for large-scale modeling of two-dimensional elasticity problems ⋮ On the formulation of a BEM in the Bézier-Bernstein space for the solution of Helmholtz equation ⋮ A modified dual-level fast multipole boundary element method based on the Burton-Miller formulation for large-scale three-dimensional sound field analysis ⋮ Hybrid nearly singular integration for isogeometric boundary element analysis of coatings and other thin 2D structures ⋮ Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains ⋮ A Regularized Singular Boundary Method for Inverse Cauchy Problem in Three-Dimensional Elastostatics ⋮ Numerical Simulation of Non-Linear Schrodinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution ⋮ A Dual-Level Method of Fundamental Solutions in Conjunction with Kernel-Independent Fast Multipole Method for Large-Scale Isotropic Heat Conduction Problems ⋮ A Novel B-Spline Method for Modeling Transport Problems in Anisotropic Inhomogeneous Media ⋮ Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory ⋮ A meshless method for solving three-dimensional time fractional diffusion equation with variable-order derivatives ⋮ A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media ⋮ A meshless singular boundary method for transient heat conduction problems in layered materials ⋮ The rapid assessment for three-dimensional potential model of large-scale particle system by a modified multilevel fast multipole algorithm ⋮ An efficient boundary collocation scheme for transient thermal analysis in large-size-ratio functionally graded materials under heat source load ⋮ Localized method of fundamental solutions for three-dimensional inhomogeneous elliptic problems: theory and MATLAB code ⋮ A cubic B-spline semi-analytical algorithm for simulation of 3D steady-state convection-diffusion-reaction problems ⋮ A fast multipole boundary element method based on higher order elements for analyzing 2-D elastostatic problems ⋮ Regularized singular boundary method for 3D potential flow ⋮ The adaptive algorithm for the selection of sources of the method of fundamental solutions ⋮ Regularized formulation of potential field gradients in singular boundary method ⋮ A novel triangular element with continuous nodal acoustic pressure gradient for acoustic scattering problems ⋮ Retracted: A hybrid finite element-meshfree method based on partition of unity for transient wave propagation problems in homogeneous and inhomogeneous media ⋮ A meshless singular boundary method for elastic wave propagation in 2D partially saturated poroelastic media ⋮ A dual-level method of fundamental solutions for three-dimensional exterior high frequency acoustic problems ⋮ High-precision calculation of electromagnetic scattering by the Burton-Miller type regularized method of moments ⋮ An efficient and accurate numerical method for the heat conduction problems of thermal metamaterials based on edge-based smoothed finite element method ⋮ Dynamic analysis and wave propagation in rotating heterogeneous cylinders under moving load and thermal conditions; implementing an efficient mesh free method ⋮ The generalized finite difference method for long-time transient heat conduction in 3D anisotropic composite materials ⋮ A Coupled FE-Meshfree Triangular Element for Acoustic Radiation Problems ⋮ Dispersion Reduction for the Wave Propagation Problems Using a Coupled “FE-Meshfree” Triangular Element ⋮ Boundary function method for boundary identification in two-dimensional steady-state nonlinear heat conduction problems ⋮ Element-free Galerkin scaled boundary method based on moving Kriging interpolation for steady heat conduction analysis ⋮ Boundary moving least square method for 2D elasticity problems ⋮ Localized method of fundamental solutions for interior Helmholtz problems with high wave number ⋮ Boundary element analysis of the orthotropic potential problems in 2-d thin structures with the higher order elements ⋮ A novel B-spline method to analyze convection-diffusion-reaction problems in anisotropic inhomogeneous medium ⋮ The Distance-Sinh combined transformation for near-singularity cancelation based on the generalized Duffy normalization ⋮ An accurate meshless collocation technique for solving two-dimensional hyperbolic telegraph equations in arbitrary domains ⋮ Method of fundamental solutions for a Cauchy problem of the Laplace equation in a half-plane ⋮ An isogeometric boundary element method for heat transfer problems of multiscale structures in electronic packaging with arbitrary heat sources

Cites Work

• Unnamed Item
• A mixed finite element discretisation of thin plate splines based on biorthogonal systems
• Boundary element analysis of the thermal behaviour in thin-coated cutting tools
• An adaptive element subdivision technique for evaluation of various 2D singular boundary integrals
• Using the iterated sinh transformation to evaluate two dimensional nearly singular boundary element integrals
• Growth, structure and pattern formation for thin films
• Adaptive hpq finite element methods for the analysis of 3D-based models of complex structures. I: Hierarchical modeling and approximations
• Nonsingular BEM formulations for thin-walled structures and elastostatic crack problems
• A mapping method for numerical evaluation of two-dimensional integrals with \(1/r\) singularity
• The evaluation of Cauchy principal value integrals in the boundary element method - a review
• A meshless method for solving the Cauchy problem in three-dimensional elastostatics
• Numerical evaluation of two-dimensional singular boundary integrals -- theory and Fortran code
• Revisit of the indirect boundary element method: necessary and sufficient formulation
• Analysis of two-dimensional thin structures (from micro- to nano-scales) using the boundary element method
• Asymptotic convergence in finite and boundary element methods. I: Theoretical results
• Asymptotic convergence in finite and boundary element methods. II: The LBB constant for rigid and elastic scattering problems
• A general algorithm for the numerical evaluation of nearly singular boundary integrals of various orders for two- and three-dimensional elasticity
• New variable transformations for evaluating nearly singular integrals in 2D boundary element method
• A novel boundary element approach for solving the anisotropic potential problems
• Analytic formulations for calculating nearly singular integrals in two-dimensional BEM
• A new method for the numerical evaluation of nearly singular integrals on triangular elements in the 3D boundary element method
• Singular integrals and boundary elements
• Heritage and early history of the boundary element method
• A general algorithm for evaluating nearly singular integrals in anisotropic three-dimensional boundary element analysis
• The distance sinh transformation for the numerical evaluation of nearly singular integrals over curved surface elements
• Two general algorithms for nearly singular integrals in two dimensional anisotropic boundary element method
• The sinh transformation for evaluating nearly singular boundary element integrals over high-order geometry elements
• A sinh transformation for evaluating two-dimensional nearly singular boundary element integrals
• A self‐adaptive co‐ordinate transformation for efficient numerical evaluation of general boundary element integrals
• Direct computation of Cauchy principal value integrals in advanced boundary elements
• Hierarchic plate and shell models based onp-extension
• A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method
• Computing principal-value integrals in 3-D BEM for time-harmonic elastodynamics - A direct approach
• Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostatics
• Application of sigmoidal transformations to weakly singular and near-singular boundary element integrals
• Some notes on singular integral techniques in boundary element analysis
• Analysis of shell-like structures by the Boundary Element Method based on 3-D elasticity: formulation and verification
• A sinh transformation for evaluating nearly singular boundary element integrals

This page was built for publication: Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method