The meshless local Petrov-Galerkin method based on moving Taylor polynomial approximation to investigate unsteady diffusion-convection problems of anisotropic functionally graded materials related to incompressible flow

DOI10.1016/j.enganabound.2021.06.026OpenAlexW3193580056MaRDI QIDQ1980249

Mohammad Ivan Azis, Mostafa Abbaszadeh, Mehdi Dehghan

Publication date: 3 September 2021

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2021.06.026

zbMATH Keywords

meshless local Petrov-Galerkin (MLPG) methodmoving Taylor polynomial approximationanisotropic functionally graded materials problemsplane elastostatic equations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (4)

An efficient extrapolation multigrid method based on a HOC scheme on nonuniform rectilinear grids for solving 3D anisotropic convection-diffusion problems ⋮ A suitable hybrid meshless method for the numerical solution of time-fractional fourth-order reaction-diffusion model in the multi-dimensional case ⋮ Special issue of \textit{Engineering Analysis with Boundary Elements}: Computational approaches to mechanical response analysis of structures at diverse scales ⋮ A half boundary method for two dimensional unsteady convection-diffusion equations

Cites Work

• Unnamed Item
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• Boundary integral based graded element for elastic analysis of 2D functionally graded plates
• Partition of unity-based thermomechanical meshfree method for two-dimensional crack problems
• A meshfree collocation method based on moving Taylor polynomial approximation for high order partial differential equations
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations
• Numerical investigation of the meshless radial basis integral equation method for solving 2D anisotropic potential problems
• The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations
• Solution of multi-dimensional Klein-Gordon-Zakharov and Schrödinger/Gross-Pitaevskii equations via local radial basis functions-differential quadrature (RBF-DQ) technique on non-rectangular computational domains
• Analyzing wave propagation problems with the improved complex variable element-free Galerkin method
• Meshless analysis of Darcy flow with a variational multiscale interpolating element-free Galerkin method
• Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation
• Inverse heat conduction problems by meshless local Petrov-Galerkin method
• Variational multiscale interpolating element-free Galerkin method for the nonlinear Darcy-Forchheimer model
• Direct meshless local Petrov-Galerkin (DMLPG) method for time-fractional fourth-order reaction-diffusion problem on complex domains
• The interpolating element-free Galerkin method for three-dimensional elastoplasticity problems
• A complex variable boundary point interpolation method for the nonlinear Signorini problem
• Solving heat conduction problems by the direct meshless local Petrov-Galerkin (DMLPG) method
• Stress analysis in anisotropic functionally graded materials by the MLPG method
• Analyzing 3D advection-diffusion problems by using the dimension splitting element-free Galerkin method
• Green's function for frequency analysis of thin annular plates with nonlinear variable thickness
• Investigation of the Oldroyd model as a generalized incompressible Navier-Stokes equation via the interpolating stabilized element free Galerkin technique
• The reproducing kernel particle Petrov-Galerkin method for solving two-dimensional nonstationary incompressible Boussinesq equations
• The interpolating element-free Galerkin (IEFG) method for three-dimensional potential problems
• A complex variable boundary element-free method for the Helmholtz equation using regularized combined field integral equations
• Modeling groundwater flow and contaminant transport
• A review on the mechanics of functionally graded nanoscale and microscale structures
• The improved element-free Galerkin method for three-dimensional elastoplasticity problems
• Steady and transient Green's functions for anisotropic conduction in an exponentially graded solid
• A new meshless method for steady-state heat conduction problems in anisotropic and inhomogeneous media
• Thermally conductive elliptic inhomogeneities in 2D anisotropic solids
• The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics
• On generalized moving least squares and diffuse derivatives
• Numerical Investigation on Direct MLPG for 2D and 3D Potential Problems
• Symmetric Coupling of the Meshless Galerkin BoundaryNode and Finite Element Methods for Elasticity
• A Galerkin Boundary Node Method for Two-Dimensional Linear Elasticity
• Properties of adaptive clinical trial signature design in the presence of gene and gene-treatment interaction
• A boundary element approach for solving plane elastostatic equations of anisotropic functionally graded materials

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