A spatial-temporal GFDM with an additional condition for transient heat conduction analysis of FGMs
From MaRDI portal
Publication:2006291
DOI10.1016/j.aml.2020.106579zbMath1452.80005OpenAlexW3035536381MaRDI QIDQ2006291
Publication date: 8 October 2020
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2020.106579
Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Diffusive and convective heat and mass transfer, heat flow (80A19) Spectral, collocation and related (meshless) methods applied to problems in thermodynamics and heat transfer (80M22)
Related Items
Localized singular boundary method for the simulation of large-scale problems of elliptic operators in complex geometries ⋮ An upwind generalized finite difference method for meshless solution of two-phase porous flow equations ⋮ On the supporting nodes in the localized method of fundamental solutions for 2D potential problems with Dirichlet boundary condition ⋮ Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material ⋮ Analysis of 2D heat conduction in nonlinear functionally graded materials using a local semi-analytical meshless method ⋮ Generalized finite difference method (GFDM) based analysis for subsurface flow problems in anisotropic formation ⋮ Magneto-thermal-mechanical analysis of functionally graded thick-walled spherical vessels ⋮ Bending analysis of simply supported and clamped thin elastic plates by using a modified version of the LMFS ⋮ Numerical solution of partial integro-differential equation with a weakly singular kernel based on Sinc methods ⋮ Distributed source scheme to solve the classical form of Poisson equation using 3-d finite-difference method for improved accuracy and unrestricted source position ⋮ An efficient collocation method for long-time simulation of heat and mass transport on evolving surfaces ⋮ The space-time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation ⋮ Generalized finite difference method based meshless analysis for coupled two-phase porous flow and geomechanics ⋮ Solving the <scp>2D</scp> and <scp>3D</scp> nonlinear inverse source problems of elliptic type partial differential equations by a homogenization function method ⋮ Advanced shifted sixth-kind Chebyshev tau approach for solving linear one-dimensional hyperbolic telegraph type problem ⋮ Modified space‐time radial basis function collocation method for long‐time simulation of transient heat conduction in<scp>3D</scp>anisotropic composite materials ⋮ Electroelastic Analysis of Two-Dimensional Piezoelectric Structures by the Localized Method of Fundamental Solutions ⋮ Solving nonlinear elliptic inverse source, coefficient and conductivity problems by the methods with bases satisfying the boundary conditions automatically ⋮ A spatio-temporal fully meshless method for hyperbolic PDEs ⋮ A generalized finite difference method for 2D dynamic crack analysis ⋮ On the augmented moving least squares approximation and the localized method of fundamental solutions for anisotropic heat conduction problems ⋮ An element-free Galerkin method for the obstacle problem ⋮ Short communication: the generalized finite difference method for electroelastic analysis of 2D piezoelectric structures ⋮ Localized method of fundamental solutions for two- and three-dimensional transient convection-diffusion-reaction equations ⋮ Space-time generalized finite difference nonlinear model for solving unsteady Burgers' equations ⋮ Fracture mechanics analysis of two-dimensional cracked thin structures (from micro- to nano-scales) by an efficient boundary element analysis ⋮ A meshless generalized finite difference method for solving shallow water equations with the flux limiter technique ⋮ Homogenization function method for time-fractional inverse heat conduction problem in 3D functionally graded materials ⋮ A localized extrinsic collocation method for Turing pattern formations on surfaces ⋮ Localized Chebyshev collocation method for solving elliptic partial differential equations in arbitrary 2D domains ⋮ Integrating Krylov Deferred Correction and Generalized Finite Difference Methods for Dynamic Simulations of Wave Propagation Phenomena in Long-Time Intervals ⋮ The rapid assessment for three-dimensional potential model of large-scale particle system by a modified multilevel fast multipole algorithm ⋮ Generalized finite difference method for electroelastic analysis of three-dimensional piezoelectric structures ⋮ An enriched finite element method with interpolation cover functions for acoustic analysis in high frequencies ⋮ Localized singular boundary method for solving Laplace and Helmholtz equations in arbitrary 2D domains ⋮ High-precision calculation of electromagnetic scattering by the Burton-Miller type regularized method of moments ⋮ A GFDM with supplementary nodes for thin elastic plate bending analysis under dynamic loading ⋮ A space-time generalized finite difference method for solving unsteady double-diffusive natural convection in fluid-saturated porous media ⋮ Space-time generalized finite difference method for solving the thin elastic plate bending under dynamic loading ⋮ A generalized finite difference method for solving biharmonic interface problems
Cites Work
- Fast simulation of multi-dimensional wave problems by the sparse scheme of the method of fundamental solutions
- Optimization of temperature-dependent functionally graded material bodies
- Meshless analyses for time-fractional heat diffusion in functionally graded materials
- Truly meshless localized type techniques for the steady-state heat conduction problems for isotropic and functionally graded materials
- A meshless singular boundary method for transient heat conduction problems in layered materials
- A boundary knot method for 3D time harmonic elastic wave problems
- A domain-decomposition generalized finite difference method for stress analysis in three-dimensional composite materials
- Singular boundary method for 2D and 3D heat source reconstruction
- Error analysis of the meshless finite point method
- Analysis of an augmented moving least squares approximation and the associated localized method of fundamental solutions
- A high accuracy method for long-time evolution of acoustic wave equation
- An efficient boundary collocation scheme for transient thermal analysis in large-size-ratio functionally graded materials under heat source load
- Localized MFS for the inverse Cauchy problems of two-dimensional Laplace and biharmonic equations
- A truly meshfree method for solving acoustic problems using local weak form and radial basis functions
- A semi-Lagrangian meshless framework for numerical solutions of two-dimensional sloshing phenomenon
- A complex variable boundary element-free method for the Helmholtz equation using regularized combined field integral equations
- A Dual-Level Method of Fundamental Solutions in Conjunction with Kernel-Independent Fast Multipole Method for Large-Scale Isotropic Heat Conduction Problems