An energy preserving time scheme based on the mortar element method for effective transmission conditions between fluid and solid domains in transient wave propagation problems

DOI10.1002/nme.7246OpenAlexW4365453371MaRDI QIDQ6070862

Alexandre Imperiale

Publication date: 24 November 2023

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.7246

zbMATH Keywords

finite element methodstime integrationacousticsexplicit

Mathematics Subject Classification ID

Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Cites Work

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• A discontinuous stabilized mortar method for general 3D elastic problems
• Higher-order triangular and tetrahedral finite elements with mass lumping for solving the wave equation
• Stability and dispersion analysis of improved time discretization for simply supported prestressed Timoshenko systems. Application to the stiff piano string
• Effective transmission conditions for thin-layer transmission problems in elastodynamics. The case of a planar layer model
• Fourth-order energy-preserving locally implicit time discretization for linear wave equations
• The mortar element method for three dimensional finite elements
• Energy Conserving Explicit Local Time Stepping for Second-Order Wave Equations
• Influence of Gauss and Gauss‐Lobatto quadrature rules on the accuracy of a quadrilateral finite element method in the time domain
• The spectral element method for elastic wave equations—application to 2-D and 3-D seismic problems
• How to Incorporate the Spring-Mass Conditions in Finite-Difference Schemes
• A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
• Stabilized leapfrog based local time-stepping method for the wave equation
• Construction and convergence analysis of conservative second order local time discretisation for linear wave equations
• Numerical Methods for Elastic Wave Propagation
• Discontinuous Galerkin Finite Element Method for the Wave Equation

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