The polygonal finite element method for solving heat conduction problems
DOI10.1016/j.enganabound.2023.07.024zbMATH Open1537.80007MaRDI QIDQ6539915
G. R. Liu, Shao-Wei Wu, Cheng-Tao Wu, Rui-Ping Niu, Chen Jiang
Publication date: 15 May 2024
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
heat conduction problempolygonal finite element methodWachspress shape functionconvex polygon meshes
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)
Cites Work
- Title not available (Why is that?)
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- Solving elliptic eigenvalue problems on polygonal meshes using discontinuous Galerkin composite finite element methods
- Barycentric coordinates for convex polytopes
- Mimetic finite difference method for the Stokes problem on polygonal meshes
- Extended finite element method on polygonal and quadtree meshes
- A new description of the stress state at a point with applications
- A novel shape-free plane quadratic polygonal hybrid stress-function element
- Elastic-plastic analysis of arbitrary heterogeneous materials with the Voronoi cell finite element method
- Residual based error estimate and quasi-interpolation on polygonal meshes for high order BEM-based FEM
- An \(n\)-sided polygonal selective smoothed finite element method for nearly incompressible visco-hyperelastic soft materials
- A high-order mixed polygonal finite element for incompressible Stokes flow analysis
- A virtual element formulation for general element shapes
- An equal-order mixed polygonal finite element for two-dimensional incompressible Stokes flows
- Modeling 2D transient heat conduction problems by the numerical manifold method on Wachspress polygonal elements
- A paradigm for higher-order polygonal elements in finite elasticity using a gradient correction scheme
- Application of discontinuous Galerkin method to mechanical 2D problem with arbitrary polygonal and very high-order finite elements
- A new polyhedral element for the analysis of hexahedral-dominant finite element models and its application to nonlinear solid mechanics problems
- A material based finite element analysis of heterogeneous media involving Dirichlet tessellations
- A general construction of barycentric coordinates over convex polygons
- Recent advances in the construction of polygonal finite element interpolants
- A virtual element method for elastic and inelastic problems on polytope meshes
- Arbitrary polygon mesh for elastic and elastoplastic analysis of solids using smoothed finite element method
- Polygon scaled boundary finite elements for crack propagation modelling
- Polygonal finite elements for finite elasticity
- Generalized Barycentric Coordinates on Irregular Polygons
- BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
- Polygonal finite elements for incompressible fluid flow
- Gradient Bounds for Wachspress Coordinates on Polytopes
- A Rational Basis for Function Approximation
- Conforming polygonal finite elements
- NURBS-enhanced polygonal scaled boundary finite element method for heat diffusion in anisotropic media with internal heat sources
- A polygonal element differential method for solving two-dimensional transient nonlinear heat conduction problems
- A new general analytical PBEM for solving three-dimensional transient nonlinear heat conduction problems with spatially-varying heat generation
- Shape-free arbitrary polygonal hybrid stress/displacement-function flat shell element for linear and geometrically nonlinear analyses
- Linear smoothed polygonal and polyhedral finite elements
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