A discontinuous enrichment method for the efficient solution of plate vibration problems in the medium-frequency regime

DOI10.1002/nme.2888zbMath1202.74201OpenAlexW2155396316MaRDI QIDQ3062577

Radek Tezaur, Charbel Farhat, P. Massimi

Publication date: 28 December 2010

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.2888

zbMATH Keywords

Lagrange multiplierswave propagationKirchhoff plateplate vibrationsmultiscalediscontinuous Galerkinmedium frequencydiscontinuous enrichment

Mathematics Subject Classification ID

Related Items (6)

Overview of the discontinuous enrichment method, the ultra-weak variational formulation, and the partition of unity method for acoustic scattering in the medium frequency regime and performance comparisons ⋮ The ultra weak variational formulation of thin clamped plate problems ⋮ Embedded kinematic boundary conditions for thin plate bending by Nitsche's approach ⋮ A hybrid discontinuous in space and time Galerkin method for wave propagation problems ⋮ A unified approach for embedded boundary conditions for fourth-order elliptic problems ⋮ The discontinuous enrichment method for medium-frequency Helmholtz problems with a spatially variable wavenumber

Cites Work

• Unnamed Item
• Primal hybrid finite element methods for 4th order elliptic equations
• A discontinuous Galerkin method with Lagrange multipliers for the solution of Helmholtz problems in the mid-frequency regime
• The discontinuous enrichment method for multiscale analysis.
• The variational theory of complex rays: a predictive tool for medium-frequency vibrations.
• A discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of short wave exterior Helmholtz problems on unstructured meshes
• A discontinuous enrichment method for capturing evanescent waves in multiscale fluid and fluid/solid problems
• SHORT WAVE MODELLING USING SPECIAL FINITE ELEMENTS
• Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems
• The discontinuous enrichment method for elastic wave propagation in the medium-frequency regime
• Convergence Analysis of a Discontinuous Galerkin Method with Plane Waves and Lagrange Multipliers for the Solution of Helmholtz Problems
• A discontinuous enrichment method for three-dimensional multiscale harmonic wave propagation problems in multi-fluid and fluid-solid media
• Numerical modelling of elastic wave scattering in frequency domain by the partition of unity finite element method
• Mixed and Hybrid Finite Element Methods
• Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?
• Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem
• The Ultra-Weak Variational Formulation for Elastic Wave Problems
• The discontinuous enrichment method

This page was built for publication: A discontinuous enrichment method for the efficient solution of plate vibration problems in the medium-frequency regime