Error estimation and adaptive mesh refinement in boundary element method, an overview

E Kita, N Kamiya - Engineering Analysis with Boundary Elements, 2001 - Elsevier
Further to the previous review article (Adv Engng Software 19 (1)(1994) 21–32), this paper
reviews more recent studies on the same subject by citing more than one hundred papers …

[PDF][PDF] Formulation and numerical treatment of boundary integral equations with hypersingular kernels

M Guiggiani - Singular integrals in boundary element methods, 1998 - researchgate.net
Boundary integral equations with strongly singular and hypersingular kernels can be very
useful in many fields of applied mechanics. In this paper two basic aspects are addressed …

A review of error estimation and adaptivity in the boundary element method

S Liapis - Engineering analysis with boundary elements, 1994 - Elsevier
When using the boundary element method, the accuracy of the numerical solution depends
critically on the discretization of the boundary into elements (panels). The distribution of the …

Stress recovery and error estimation for the scaled boundary finite‐element method

AJ Deeks, JP Wolf - International journal for numerical methods …, 2002 - Wiley Online Library
The scaled boundary finite‐element method is a novel semi‐analytical technique, combining
the advantages of the finite element and the boundary element methods with unique …

Determination of stress intensity factors of V-notch structures by characteristic analysis coupled with isogeometric boundary element method

Z Han, C Cheng, S Yao, Z Niu - Engineering Fracture Mechanics, 2019 - Elsevier
To describe the physical fields of the V-notch structure accurately, the structure is first
divided into two parts, the notch tip sector containing singular stress field and the non …

One step forward towards the full integration of BEM and CAD software: An effective adaptive approach

AR Neto, ED Leonel - Engineering Analysis with Boundary Elements, 2022 - Elsevier
The advent of Isogeometric analysis enabled advances towards the straightforward
connection between geometric design and mechanical modelling phases. 3D approaches of …

Recent studies on adaptive boundary element methods

E Kita, N Kamiya - Advances in Engineering Software, 1994 - Elsevier
This is a review of the recent studies on adaptive mesh refinement schemes for boundary
element methods. We suppose that the adaptive mesh refinement schemes are constructed …

Error estimation for boundary element method

MT Liang, JT Chen, SS Yang - Engineering analysis with boundary …, 1999 - Elsevier
In this paper, six error indicators obtained from dual boundary integral equations are used
for local estimation, which is an essential ingredient for all adaptive mesh schemes in BEM …

Hypersingular residuals—a new approach for error estimation in the boundary element method

GH Paulino, LJ Gray, V Zarikian - International Journal for …, 1996 - Wiley Online Library
This paper presents a new approach for a posteriori 'pointwise'error estimation in the
boundary element method. The estimator relies upon evaluation of the residual of …

hp Fast multipole boundary element method for 3D acoustics

S Keuchel, K Vater, O Estorff - International Journal for …, 2017 - Wiley Online Library
A fast multipole boundary element method (FMBEM) extended by an adaptive mesh
refinement algorithm for solving acoustic problems in three‐dimensional space is presented …