A meshless singular boundary method for transient heat conduction problems in layered materials

DOI10.1016/j.camwa.2019.05.027zbMath1443.65251OpenAlexW2960179298WikidataQ127738769 ScholiaQ127738769MaRDI QIDQ2004419

Fajie Wang, Ji Lin, Lin Qiu

Publication date: 7 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2019.05.027

zbMATH Keywords

layered materialssingular boundary methodtime-dependent fundamental solutionstransient heat conductionorigin intensity factor

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solution of potential flow problems by the modified method of fundamental solutions: formulations with the single layer and the double layer fundamental solutions
• A method of fundamental solutions without fictitious boundary
• Boundary element analysis of the thermal behaviour in thin-coated cutting tools
• A new boundary meshfree method with distributed sources
• Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions
• Boundary reconstruction in two-dimensional steady state anisotropic heat conduction using a regularized meshless method
• A general method for an accurate evaluation of exponential integrals \(E_1(x)\), \(x>0\)
• A frequency domain formulation of the singular boundary method for dynamic analysis of thin elastic plate
• Boundary function method for inverse geometry problem in two-dimensional anisotropic heat conduction equation
• A simple accurate formula evaluating origin intensity factor in singular boundary method for two-dimensional potential problems with Dirichlet boundary
• A BEM formulation in conjunction with parametric equation approach for three-dimensional Cauchy problems of steady heat conduction
• A typical backward substitution method for the simulation of Helmholtz problems in arbitrary 2D domains
• Indirect boundary integral equation method for the Cauchy problem of the Laplace equation
• Simulation of heat conduction problems in layered materials using the meshless singular boundary method
• Optimal sources in the MFS by minimizing a new merit function: energy gap functional
• A regularized approach evaluating the near-boundary and boundary solutions for three-dimensional Helmholtz equation with wideband wavenumbers
• The element-free Galerkin method for the nonlinear \(p\)-Laplacian equation
• Numerical investigation on the obliquely incident water wave passing through the submerged breakwater by singular boundary method
• A novel meshless method for fully nonlinear advection-diffusion-reaction problems to model transfer in anisotropic media
• Coupling finite element method with meshless finite difference method in thermomechanical problems
• A fast singular boundary method for 3D Helmholtz equation
• Analytical evaluation of the origin intensity factor of time-dependent diffusion fundamental solution for a matrix-free singular boundary method formulation
• A boundary-only treatment by singular boundary method for two-dimensional inhomogeneous problems
• Three-dimensional complex variable element-free Galerkin method
• Analysis of three-dimensional anisotropic heat conduction problems on thin domains using an advanced boundary element method
• A boundary-type meshless solver for transient heat conduction analysis of slender functionally graded materials with exponential variations
• A simple empirical formula of origin intensity factor in singular boundary method for two-dimensional Hausdorff derivative Laplace equations with Dirichlet boundary
• Novel meshless method for solving the potential problems with arbitrary domain
• A comparison of time marching schemes for the transient heat conduction equation
• The method of fundamental solutions and quasi-Monte-Carlo method for diffusion equations
• Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method
• Simulation of Seismic Wave Scattering by Embedded Cavities in an Elastic Half-Plane Using the Novel Singular Boundary Method
• A Regularized Singular Boundary Method for Inverse Cauchy Problem in Three-Dimensional Elastostatics
• Boundary element method analysis of temperature fields in coated cutting tools

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