Extending linear finite elements to quadratic precision on arbitrary meshes

DOI10.1016/j.amc.2016.12.010zbMath1411.65152OpenAlexW2571191923MaRDI QIDQ1735265

Jaime Arturo de la Torre, Pep Español, Daniel Duque

Publication date: 28 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.12.010

zbMATH Keywords

finite element methodLaplacianlinear precisionquadratic precision

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items

Delta Voronoi smoothed particle hydrodynamics, \(\delta\)-VSPH, An Assignment Procedure from Particles to Mesh that Preserves Field Values

Uses Software

• CGAL
• Eigen

Cites Work

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• Development of the meshless finite volume particle method with exact and efficient calculation of interparticle area
• Enhancement of stability and accuracy of the moving particle semi-implicit method
• Adaptive particle refinement and derefinement applied to the smoothed particle hydrodynamics method
• Voronoi fluid particle model for Euler equations
• Moving least-square reproducing kernel methods. I: Methodology and convergence
• The non-Sibsonian interpolation: A new method of interpolation of the value of a function on an arbitrary set of points
• Lagrangian versus Eulerian integration errors
• Localmaximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
• Smooth, second order, non-negative meshfree approximants selected by maximum entropy
• Mesoscopic dynamics of Voronoi fluid particles
• High-Order Curvilinear Finite Element Methods for Lagrangian Hydrodynamics
• THE PARTICLE FINITE ELEMENT METHOD — AN OVERVIEW
• Theory and Applications of Smoothed Particle Hydrodynamics