Interpolating meshless local Petrov-Galerkin method for steady state heat conduction problem

DOI10.1016/j.enganabound.2018.12.012zbMath1464.80031OpenAlexW2910237018WikidataQ128631265 ScholiaQ128631265MaRDI QIDQ666821

Krishna Mohan Singh, Rituraj Singh

Publication date: 12 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2018.12.012

zbMATH Keywords

heat conductionMLPG methodinterpolating moving least squares method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods applied to problems in thermodynamics and heat transfer (80M15) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (8)

A meshfree method for the solution of 2D and 3D second order elliptic boundary value problems in heterogeneous media ⋮ Petrov–Galerkin zonal free element method for 2D and 3D mechanical problems ⋮ A comparison study of the efficiency and accuracy of IEFG in solving elasticity problems using different nodal integration schemes ⋮ Research on error estimations of the interpolating boundary element free-method for two-dimensional potential problems ⋮ The FMM accelerated PIES with the modified binary tree in solving potential problems for the domains with curvilinear boundaries ⋮ Nonlinear heat transfer analysis of spines using MLPG method ⋮ An improved implementation of triple reciprocity boundary element method for three-dimensional steady state heat conduction problems ⋮ Analysis of the MLS variants in the meshless local Petrov-Galerkin method for a solution to the 2D Laplace equation

Cites Work

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• Error analysis for moving least squares approximation in 2D space
• Error estimates for the interpolating moving least-squares method
• Analyzing 2D fracture problems with the improved element-free Galerkin method
• Enforcement of boundary conditions in meshfree methods using interpolating moving least squares
• Meshless solution of a diffusion equation with parameter optimization and error analysis
• Error estimates for the interpolating moving least-squares method in \(n\)-dimensional space
• A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
• A critical assessment of the truly meshless local Petrov-Galerkin (MLPG), and local boundary integral equation (LBIE) methods
• A novel interpolating element-free Galerkin (IEFG) method for two-dimensional elastoplasticity
• Analysis of two methods based on Galerkin weak form for fractional diffusion-wave: meshless interpolating element free Galerkin (IEFG) and finite element methods
• The transient heat conduction MPM and GIMP applied to isotropic materials
• A variational multiscale interpolating element-free Galerkin method for convection-diffusion and Stokes problems
• Analysis of the inherent instability of the interpolating moving least squares method when using improper polynomial bases
• The error estimates of the interpolating element-free Galerkin method for two-point boundary value problems
• The interpolating element-free Galerkin method for 2D transient heat conduction problems
• Interpolating element-free Galerkin method for the regularized long wave equation and its error analysis
• The complex variable interpolating moving least-squares method
• The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin-Bona-Mahony-Burgers and regularized long-wave equations on non-rectangular domains with error estimate
• The interpolating element-free Galerkin (IEFG) method for two-dimensional potential problems
• MESHFREE COLLOCATION METHOD FOR IMPLICIT TIME INTEGRATION OF ODES
• Properties of adaptive clinical trial signature design in the presence of gene and gene-treatment interaction
• Meshfree collocation solution of boundary value problems via interpolating moving least squares
• Space-time meshfree collocation method: Methodology and application to initial-boundary value problems
• Surfaces Generated by Moving Least Squares Methods

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