Modeling 2D transient heat conduction problems by the numerical manifold method on Wachspress polygonal elements
From MaRDI portal
Publication:2293888
DOI10.1016/j.apm.2017.03.043zbMath1480.65276OpenAlexW2601950866MaRDI QIDQ2293888
Publication date: 5 February 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2017.03.043
temperaturenumerical manifold methodpolygonal elements2D transient heat conductionregular hexagonal elements
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) 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 (4)
The numerical manifold method for 2D transient heat conduction problems in functionally graded materials ⋮ A brief review on polygonal/polyhedral finite element methods ⋮ Exactness of measured/predicted temperature distributions for heat generation in arbitrary non-variable cross-section bar using entropy generation method ⋮ A dual-level method of fundamental solutions for three-dimensional exterior high frequency acoustic problems
Cites Work
- Unnamed Item
- A CQM-based BEM for transient heat conduction problems in homogeneous materials and FGMs
- Modeling complex crack problems using the numerical manifold method
- Numerical analysis of 2-D crack propagation problems using the numerical manifold method
- Implementation of the numerical manifold method for thermo-mechanical fracture of planar solids
- Numerical integration of polynomials and discontinuous functions on irregular convex polygons and polyhedrons
- Transient heat conduction analysis using the MLPG method and modified precise time step integration method
- Prediction of rank deficiency in partition of unity-based methods with plane triangular or quadrilateral meshes
- Extended finite element method on polygonal and quadtree meshes
- Solving transient conduction and radiation heat transfer problems using the lattice Boltzmann method and the finite volume method
- Numerical integration of homogeneous functions on convex and nonconvex polygons and polyhedra
- Finite element modeling of coating formation and transient heat transfer in the electric arc spray process
- A rational finite element basis
- Stochastic finite element modelling in linear transient heat transfer
- Transient heat conduction in homogeneous and non-homogeneous materials by the Laplace transform Galerkin boundary element method
- Thermal shock analysis of 2D cracked solids using the numerical manifold method and precise time integration
- A new second-order numerical manifold method model with an efficient scheme for analyzing free surface flow with inner drains
- A paradigm for higher-order polygonal elements in finite elasticity using a gradient correction scheme
- Primal mixed solution to unconfined seepage flow in porous media with numerical manifold method
- Linear dependence problems of partition of unity-based generalized FEMs
- Mean value coordinates
- Fracture modeling of isotropic functionally graded materials by the numerical manifold method
- Recent advances in the construction of polygonal finite element interpolants
- Modeling bimaterial interface cracks using the numerical manifold method
- Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method
- THE NUMERICAL MANIFOLD METHOD: A REVIEW
- SIMULATION OF TOPPLING FAILURE OF ROCK SLOPE BY NUMERICAL MANIFOLD METHOD
- New strategies for some issues of numerical manifold method in simulation of crack propagation
- Polygonal finite elements for finite elasticity
- Effect of boundary condition approximation on convergence and accuracy of a finite volume discretization of the transient heat conduction equation
- An Adaptive Polygonal Scaled Boundary Finite Element Method for Elastodynamics
- APPLICATION OF POLYGONAL FINITE ELEMENTS IN LINEAR ELASTICITY
- Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping
- Generalized Barycentric Coordinates on Irregular Polygons
- Conforming polygonal finite elements
- Construction of polygonal interpolants: a maximum entropy approach
This page was built for publication: Modeling 2D transient heat conduction problems by the numerical manifold method on Wachspress polygonal elements
