A hybrid mimetic spectral element method for three-dimensional linear elasticity problems

DOI10.1016/j.jcp.2021.110179OpenAlexW3126901333MaRDI QIDQ2120760

Yanyan Li

Publication date: 1 April 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110179

zbMATH Keywords

Lagrange multiplierdomain decompositionvariational principlede Rham complexhybridizationmimetic spectral element method

Mathematics Subject Classification ID

Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Elliptic equations and elliptic systems (35Jxx)

Cites Work

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• Breaking spaces and forms for the DPG method and applications including Maxwell equations
• Mimetic finite difference method
• Why starting from differential equations for computational physics?
• Physics-compatible discretization techniques on single and dual grids, with application to the Poisson equation of volume forms
• Variational principles for incremental finite element methods
• On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
• Discrete conservation properties for shallow water flows using mixed mimetic spectral elements
• Convergence of a substructuring method with Lagrange multipliers
• Construction of dual bases
• The mathematical structure of classical and relativistic physics. A general classification diagram
• The mortar finite element method with Lagrange multipliers
• Construction and application of algebraic dual polynomial representations for finite element methods on quadrilateral and hexahedral meshes
• Dual and approximate dual basis functions for B-splines and NURBS -- comparison and application for an efficient coupling of patches with the isogeometric mortar method
• The discrete Steklov-Poincaré operator using algebraic dual polynomials
• A mimetic spectral element solver for the Grad-Shafranov equation
• Construction of dual \(B\)-spline functions
• Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
• A traction-based equilibrium finite element free from spurious kinematic modes for linear elasticity problems
• Equilibrium Finite Element Formulations
• Edge Functions for Spectral Element Methods
• Isogeometric Discrete Differential Forms in Three Dimensions
• The mortar element method for three dimensional finite elements
• Dual-primal FETI methods for linear elasticity
• Finite element exterior calculus, homological techniques, and applications
• Pure equilibrium tetrahedral finite elements for global error estimation by dual analysis
• Finite element exterior calculus: from Hodge theory to numerical stability
• Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
• BASIC PRINCIPLES OF VIRTUAL ELEMENT METHODS
• Mixed Finite Element Methods and Applications
• New displacement hybrid finite element models for solid continua
• A minimal stabilisation procedure for mixed finite element methods

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