A stable node-based smoothed finite element method for acoustic problems (Q2631542)

scientific article

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English	A stable node-based smoothed finite element method for acoustic problems	scientific article

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instance of

scholarly article

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title

A stable node-based smoothed finite element method for acoustic problems (English)

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author

Yanyan Li

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published in

Computer Methods in Applied Mechanics and Engineering

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publication date

15 May 2019

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zbMATH Keywords

acoustic

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numerical methods

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node-based smoothed finite element method (NS-FEM)

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temporal stability

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discretization error

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cma.2015.09.005

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cites work

Finite element analysis of acoustic scattering

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Q2735604

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Recent development of dual BEM in acoustic problems

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Dispersion and pollution of meshless solutions for the Helmholtz equation

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Modified integration rules for reducing dispersion error in finite element methods.

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Dispersion analysis of finite element semidiscretizations of the two-dimensional wave equation

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Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?

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A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations

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Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains

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A Galerkin least‐squares finite element method for the two‐dimensional Helmholtz equation

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Residual-free bubbles for the Helmholtz equation

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A multiscale finite element method for the Helmholtz equation

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A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution

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Q4951622

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The partition of unity finite element method: basic theory and applications

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THE PARTITION OF UNITY METHOD

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The discontinuous enrichment method

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High-Order Finite Element Methods for Acoustic Problems

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\(p\)-version FEM for structural acoustics with a posteriori error estimation

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Higher order finite and infinite elements for the solution of Helmholtz problems

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Element‐free Galerkin methods

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Element-free Galerkin solutions for Helmholtz problems: Formulation and numerical assessment of the pollution effect

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Dispersion analysis of the meshfree radial point interpolation method for the Helmholtz equation

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An edge-based smoothed finite element method (ES-FEM) for analyzing three-dimensional acoustic problems

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Dispersion free analysis of acoustic problems using the alpha finite element method

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Hybrid smoothed finite element method for acoustic problems

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Q2709693

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Non-linear version of stabilized conforming nodal integration for Galerkin mesh-free methods

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A GENERALIZED GRADIENT SMOOTHING TECHNIQUE AND THE SMOOTHED BILINEAR FORM FOR GALERKIN FORMULATION OF A WIDE CLASS OF COMPUTATIONAL METHODS

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A G space theory and a weakened weak (W<sup>2</sup> ) form for a unified formulation of compatible and incompatible methods: Part I theory

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A G space theory and a weakened weak (W<sup>2</sup> ) form for a unified formulation of compatible and incompatible methods: Part II applications to solid mechanics problems

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ON G SPACE THEORY

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Theoretical aspects of the smoothed finite element method (SFEM)

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Node-based uniform strain elements for three-node triangular and four-node tetrahedral meshes

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ADDITIONAL PROPERTIES OF THE NODE-BASED SMOOTHED FINITE ELEMENT METHOD (NS-FEM) FOR SOLID MECHANICS PROBLEMS

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A node-based smoothed finite element method (NS-Fem) for upper bound solution to visco-elastoplastic analyses of solids using triangular and tetrahedral meshes

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Adaptive analysis using the node-based smoothed finite element method (NS-FEM)

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A three-dimensional adaptive analysis using the meshfree node-based smoothed point interpolation method (NS-PIM)

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A novel singular node-based smoothed finite element method (NS-FEM) for upper bound solutions of fracture problems

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Temporal stabilization of the node-based smoothed finite element method and solution bound of linear elastostatics and vibration problems

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Nodal integration of the element-free Galerkin method

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A temporal stable node-based smoothed finite element method for three-dimensional elasticity problems

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A novel alpha finite element method (\(\alpha \)FEM) for exact solution to mechanics problems using triangular and tetrahedral elements

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A HYBRID SMOOTHED FINITE ELEMENT METHOD (H-SFEM) TO SOLID MECHANICS PROBLEMS

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Identifiers

zbMATH Open document ID

1423.76285

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DOI

10.1016/j.cma.2015.09.005

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2631542