A review of finite-element methods for time-harmonic acoustics

LL Thompson - The Journal of the Acoustical Society of America, 2006 - pubs.aip.org
State-of-the-art finite-element methods for time-harmonic acoustics governed by the
Helmholtz equation are reviewed. Four major current challenges in the field are specifically …

The variational multiscale method for laminar and turbulent flow

V Gravemeier - Archives of Computational Methods in Engineering, 2006 - Springer
The present article reviews the variational multiscale method as a framework for the
development of computational methods for the simulation of laminar and turbulent flows …

The discontinuous enrichment method

C Farhat, I Harari, LP Franca - Computer methods in applied mechanics …, 2001 - Elsevier
We propose a finite element based discretization method in which the standard polynomial
field is enriched within each element by a non-conforming field that is added to it. The …

A class of discontinuous Petrov–Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D

J Zitelli, I Muga, L Demkowicz, J Gopalakrishnan… - Journal of …, 2011 - Elsevier
The phase error, or the pollution effect in the finite element solution of wave propagation
problems, is a well known phenomenon that must be confronted when solving problems in …

A survey of finite element methods for time-harmonic acoustics

I Harari - Computer methods in applied mechanics and …, 2006 - Elsevier
Many of the current issues and methodologies related to finite element methods for time-
harmonic acoustics are reviewed. The effective treatment of unbounded domains is a major …

A bubble‐stabilized finite element method for Dirichlet constraints on embedded interfaces

HM Mourad, J Dolbow, I Harari - International journal for …, 2007 - Wiley Online Library
We examine a bubble‐stabilized finite element method for enforcing Dirichlet constraints on
embedded interfaces. By 'embedded'we refer to problems of general interest wherein the …

[HTML][HTML] 可控源电磁三维频率域有限元模拟

徐志锋, 吴小平 - 地球物理学报, 2010 - html.rhhz.net
本文采用电磁场的磁矢量位和电标量势, 将Maxwell 方程组化为位势的类似于Helmholtz 型方程,
并引入罚项及稳定化方法克服了电磁三维有限元算法中的伪解及数值不稳定性; …

The discontinuous enrichment method for multiscale analysis

C Farhat, I Harari, U Hetmaniuk - Computer Methods in Applied Mechanics …, 2003 - Elsevier
Computation naturally separates scales of a problem according to the mesh size. A variety of
improved numerical methods are described by multiscale considerations, differing in the …

A discontinuous Galerkin method with plane waves and Lagrange multipliers for the solution of short wave exterior Helmholtz problems on unstructured meshes

C Farhat, P Wiedemann-Goiran, R Tezaur - Wave Motion, 2004 - Elsevier
Recently, a discontinuous Galerkin method with plane wave basis functions and Lagrange
multiplier degrees of freedom was proposed for the efficient solution of the Helmholtz …

Adjoint-weighted equation for inverse problems of incompressible plane-stress elasticity

U Albocher, AA Oberai, PE Barbone, I Harari - Computer Methods in …, 2009 - Elsevier
The adjoint-weighted equation (AWE) formulation is applied to incompressible isotropic
plane-stress elasticity for the solution of inverse problems. For the strong form of the problem …