A meshless thermal modelling for functionally graded porous materials under the influence of temperature dependent heat sources

DOI10.1016/j.enganabound.2022.09.017OpenAlexW4297238065MaRDI QIDQ6137978

Mas Irfan P. Hidayat

Publication date: 16 January 2024

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2022.09.017

zbMATH Keywords

meshlesstransient heat conductionlocal collocationmoving krigingtemperature dependent heat sources

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Classical thermodynamics, heat transfer (80-XX)

Cites Work

• Unnamed Item
• Meshless local B-spline-FD method and its application for 2D heat conduction problems with spatially varying thermal conductivity
• Nonlinear transient heat conduction analysis of functionally graded materials in the presence of heat sources using an improved meshless radial point interpolation method
• Meshless local B-spline collocation method for heterogeneous heat conduction problems
• A meshless local moving Kriging method for two-dimensional solids
• Integrated multiquadric radial basis function approximation methods
• SSPH basis functions for meshless methods, and comparison of solutions with strong and weak formulations
• Generalizing the finite element method: Diffuse approximation and diffuse elements
• The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-Gordon equations
• Analytical transformation of volume integral for the time-stepping BEM analysis of 2D transient heat conduction in anisotropic media
• Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
• Remediation of contaminated groundwater by meshless local weak forms
• RBF-DQ algorithms for elliptic problems in axisymmetric domains
• DMLPG method for specifying a control function in two-dimensional parabolic inverse PDEs
• Analysis and application of the interpolating element-free Galerkin method for extended Fisher-Kolmogorov equation which arises in brain tumor dynamics modeling
• The radial basis function-differential quadrature method for elliptic problems in annular domains
• Error analysis of a meshless weak form method based on radial point interpolation technique for Sivashinsky equation arising in the alloy solidification problem
• Local RBF method for multi-dimensional partial differential equations
• An improved meshless method with almost interpolation property for isotropic heat conduction problems
• Two-dimensional steady heat conduction in functionally gradient materials by triple-reciprocity boundary element method
• Smoothed particle hydrodynamics: theory and application to non-spherical stars
• Element‐free Galerkin methods
• Exponential convergence andH-c multiquadric collocation method for partial differential equations
• A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs
• Moving kriging interpolation and element-free Galerkin method
• Reproducing kernel particle methods
• An efficient meshless method based on the moving Kriging interpolation for two‐dimensional variable‐order time fractional mobile/immobile advection‐diffusion model