A fictitious domain method for acoustic wave propagation problems

DOI10.1016/j.mcm.2009.04.020zbMath1185.76874OpenAlexW1978889491MaRDI QIDQ969887

Yang Zhang

Publication date: 8 May 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.04.020

zbMATH Keywords

Lagrange multiplierfictitious domain methodwave propagation problem

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

• Unnamed Item
• Unnamed Item
• Finite element approximation of incompressible Navier-Stokes equations with slip boundary condition. II
• Boundary Lagrange multipliers in finite element methods: Error analysis in natural norms
• The finite element method with Lagrange multipliers on the boundary: Circumventing the Babuška-Brezzi condition
• Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies
• Error analysis of a fictitious domain method applied to a Dirichlet problem
• A fictitious domain method for Dirichlet problem and applications
• A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations
• On some techniques for approximating boundary conditions in the finite element method
• Radiation boundary conditions for acoustic and elastic wave calculations
• Difference Approximations of the Neumann Problem for the Second Order Wave Equation
• Difference Approximations for the Second Order Wave Equation
• An Embedded Boundary Method for the Wave Equation with Discontinuous Coefficients
• A Second Order Accurate Embedded Boundary Method for the Wave Equation with Dirichlet Data
• $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations

This page was built for publication: A fictitious domain method for acoustic wave propagation problems