An operator splitting scheme with a distributed Lagrange multiplier based fictitious domain method for wave propagation problems
type: Item
instance of: scholarly article
title: An operator splitting scheme with a distributed Lagrange multiplier based fictitious domain method for wave propagation problems
zbMATH Open document ID: 1083.65090
author: V. A. Bokil
author: Roland Glowinski
published in: Journal of Computational Physics
publication date: 2005-06-13T00:00:00Z
review text: The article describes a method for the numerical solution of the time dependent problem of the obstacle scattering based on an extension of the domain and the use of a mixed finite element spatial discretisation together with a central difference time discretisation. The interaction with the obstacle is handled by an operator splitting. The approach is analyzed for a one-dimensional wave problem. Several important properties of the distributed multiplier method are also demonstrated. The efficiency of the method is shown on numerical results for two-dimensional wave problems. The work is related to the paper by \textit{F. Collino, P. Joly} and \textit{F. Millot} [J. Comput. Phys. 138, No. 2, 907--938 (1997; Zbl 1126.78311)].
reviewed by: Michal Beneš
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L05
zbMATH DE Number: 2175604
zbMATH Keywords: mixed finite element methods
zbMATH Keywords: operator splitting
zbMATH Keywords: fictitious domains
zbMATH Keywords: wave equation
zbMATH Keywords: finite differences
zbMATH Keywords: numerical results
zbMATH Keywords: perfectly matched layer
MaRDI profile type: Publication
full work available at URL: j.jcp.2004.10.040
OpenAlex ID: W1969811015
cites work: Q4836633
cites work: On Finite Element Domain Imbedding Methods
cites work: Q4836696
cites work: A capacitance matrix method for Dirichlet problem on polygon region
cites work: A finite-element capacitance matrix method for exterior Helmholtz problems
cites work: Q4218306
cites work: A fictitious domain method for Dirichlet problem and applications
cites work: Q4218295
cites work: On the solution of the Dirichlet problem for linear elliptic operators by a distributed Lagrande multiplier method
cites work: Efficient preconditioners based on fictitious domains for elliptic FE-problems with Lagrange multipliers
cites work: Fictitious domain method for unsteady problems: application to electromagnetic scattering
cites work: A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations
cites work: Q4450251
cites work: Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies
cites work: Q4856567
cites work: Q4383836
cites work: Error analysis of a fictitious domain method applied to a Dirichlet problem
cites work: Mixed and penalty formulations for finite element analysis of an eigenvalue problem in electromagnetism
cites work: Q3995612
cites work: Q3126807
cites work: On the Construction and Comparison of Difference Schemes
cites work: Q2761234
cites work: Fictitious domain methods for the numerical solution of two-dimensional scattering problems
DOI: 10.1016/J.JCP.2004.10.040
Recommended article: Q4450251
Recommended article: Distributed Lagrange multiplier functions for fictitious domain method with spectral/hp element discretization
Recommended article: Q5440523
Recommended article: Q4426206
Recommended article: On a fictitious domain method with distributed Lagrange multiplier for interface problems
Recommended article: Q3526606
Recommended article: Wavelet techniques for the fictitious-domain-Lagrange-multiplier-approach
Recommended article: A fictitious domain method with distributed Lagrange multipliers
Recommended article: Q3525542
Recommended article: Distributed Lagrange multipliers based on fictitious domain method for second order elliptic problems
description: scientific article; zbMATH DE number 2175604