Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping
DOI10.1002/nme.2589zbMath1176.74190OpenAlexW2170976551MaRDI QIDQ3649876
Deshabrata Roy Mahapatra, Sundararajan Natarajan, Stéphane Pierre Alain Bordas
Publication date: 7 December 2009
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.2589
numerical integrationfinite element methodconformal mappingquadraturediscontinuitiesSchwarz-Christoffel mappingnatural element methodXFEMintegration ruleWachspress shape functionspolygonal finite element
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Complex-variable methods applied to problems in solid mechanics (74S70)
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- Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method
- A state-of-the-art review of the X-FEM for computational fracture mechanics
- Surfaces over Dirichlet tessellations
- Meshless methods: a review and computer implementation aspects
- A smoothed finite element method for plate analysis
- A smoothed finite element method for mechanics problems
- A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics
- Meshless methods: An overview and recent developments
- The partition of unity finite element method: basic theory and applications
- Overview and recent advances in natural neighbour Galerkin methods
- Elastic-plastic analysis of arbitrary heterogeneous materials with the Voronoi cell finite element method
- The non-Sibsonian interpolation: A new method of interpolation of the value of a function on an arbitrary set of points
- Barycentric coordinates for convex sets
- Recent advances in the construction of polygonal finite element interpolants
- A smoothed finite element method for shell analysis
- Displacement and equilibrium models in the finite element method by B. Fraeijs de Veubeke, Chapter 9, Pages 145–197 of Stress Analysis, Edited by O. C. Zienkiewicz and G. S. Holister, Published by John Wiley & Sons, 1965
- APPLICATION OF POLYGONAL FINITE ELEMENTS IN LINEAR ELASTICITY
- Stabilized conforming nodal integration in the natural-element method
- Numerical Integration over the Planar Annulus
- Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
- An Extended Finite Element Method for Two-Phase Fluids
- Overview and construction of meshfree basis functions: from moving least squares to entropy approximants
- An extended finite element library
- A combined extended finite element and level set method for biofilm growth
- High degree efficient symmetrical Gaussian quadrature rules for the triangle
- A vector identity for the Dirichlet tessellation
- The natural element method in solid mechanics
- Elastic crack growth in finite elements with minimal remeshing
- Element‐free Galerkin methods
- Numerical comparison of several a posteriori error estimators for 2D stress analysis
- Algorithm 756: a MATLAB toolbox for Schwarz-Christoffel mapping
- Structured extended finite element methods for solids defined by implicit surfaces
- Generalized Barycentric Coordinates on Irregular Polygons
- Schwarz-Christoffel Mapping
- Voronoi cell finite element model based on micropolar theory of thermoelasticity for heterogeneous materials
- Reproducing kernel particle methods
- A finite element method for crack growth without remeshing
- Conforming polygonal finite elements
- Construction of polygonal interpolants: a maximum entropy approach
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