Recent advances and emerging applications of the boundary element method

YJ Liu, S Mukherjee… - Applied …, 2011 - asmedigitalcollection.asme.org
Sponsored by the US National Science Foundation, a workshop on the boundary element
method (BEM) was held on the campus of the University of Akron during September 1–3 …

[图书][B] Boundary element methods for engineers and scientists: an introductory course with advanced topics

L Gaul, M Kögl, M Wagner - 2013 - books.google.com
Over the past decades, the Boundary Element Method has emerged as a ver satile and
powerful tool for the solution of engineering problems, presenting in many cases an …

Developments in structural-acoustic optimization for passive noise control

S Marburg - Archives of computational methods in engineering, 2002 - Springer
Low noise constructions receive more and more attention in highly industrialized countries.
Consequently, decrease of noise radiation challenges a growing community of engineers …

Performance of iterative solvers for acoustic problems. Part I. Solvers and effect of diagonal preconditioning

S Marburg, S Schneider - Engineering Analysis with Boundary Elements, 2003 - Elsevier
Boundary element discretization of the Kirchhoff–Helmholtz integral equation gives rise to a
linear system of equations. This system may be solved directly or iteratively. Application of …

Consistency, precision, and accuracy assessment of the collocation boundary element method for two-dimensional problems of potential and elasticity

NA Dumont - Archive of Applied Mechanics, 2024 - Springer
The collocation boundary element method, as developed and taught in the traditional books,
suffers from severe inconsistencies, partly responsible for the method's lack of clarity and …

A fast multi-level boundary element method for the Helmholtz equation

MM Grigoriev, GF Dargush - Computer Methods in Applied Mechanics and …, 2004 - Elsevier
Most recently, we have developed a novel multi-level boundary element method (MLBEM)
for the solution of the steady heat diffusion equation involving asymptotically decaying non …

An advanced direct time domain BEM for 3-D wave propagation in acoustic media

DC Rizos, S Zhou - Journal of sound and vibration, 2006 - Elsevier
This paper presents a new Boundary Element Method (BEM) in the direct time domain for
the solution of the wave propagation problem in 3D homogenous inviscid acoustic media …

A Krylov subspace projection method for simultaneous solution of Helmholtz problems at multiple frequencies

MM Wagner, PM Pinsky, AA Oberai… - Computer methods in …, 2003 - Elsevier
A Krylov subspace projection method which provides simultaneous solutions of the
Helmholtz equation at multiple frequencies in one solution step is presented. The projector …

On the explicit evaluation of stress intensity factors in the hybrid boundary element method

NA Dumont, AAO Lopes - … & Fracture of Engineering Materials & …, 2003 - Wiley Online Library
The hybrid boundary element method, as based on the Hellinger‐Reissner potential for
assumed singular stress fields, is suited for the explicit mathematical description of high …

On the solution of generalized non‐linear complex‐symmetric eigenvalue problems

NA Dumont - International journal for numerical methods in …, 2007 - Wiley Online Library
This paper brings an attempt toward the systematic solution of the generalized non‐linear,
complex‐symmetric eigenproblem (K0− iωC1− ω2M1− iω3C2− ω4M2−···) ϕ= 0, with real …