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 …

An effective method for numerical evaluation of general 2D and 3D high order singular boundary integrals

XW Gao - Computer methods in applied mechanics and …, 2010 - Elsevier
In this paper, a robust method is presented for numerical evaluation of weakly, strongly,
hyper-and super-singular boundary integrals, which exist in the Cauchy principal value …

[HTML][HTML] An isogeometric boundary element method for three dimensional potential problems

YP Gong, CY Dong, XC Qin - Journal of Computational and Applied …, 2017 - Elsevier
Isogeometric analysis (IGA) coupled with boundary element method, ie IGABEM, received a
lot of attention in recent years. In this paper, we extend the IGABEM to solve 3D potential …

BEM evaluation of surface octahedral strains and internal strain gradients in 3D-printed scaffolds used for bone tissue regeneration

TV Gortsas, SV Tsinopoulos, E Polyzos, L Pyl… - Journal of the …, 2022 - Elsevier
Most of the mechnoregulatory computational models appearing so far in tissue engineering
for bone healing predictions, utilize as regulators for cell differentiation mainly the octahedral …

[HTML][HTML] Definitions, properties and applications of finite-part integrals

G Monegato - Journal of computational and applied mathematics, 2009 - Elsevier
Definitions, properties and applications of finite-part integrals - ScienceDirect Skip to main
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Numerical calculation of regular and singular integrals in boundary integral equations using Clenshaw–Curtis quadrature rules

L Chen, X Li - Engineering Analysis with Boundary Elements, 2023 - Elsevier
The efficient and accurate calculation of integrals, especially singular and nearly singular
integrals, poses a great challenge in boundary integral equation (BIE) methods. In this …

Numerical evaluation of strain gradients in classical elasticity through the Boundary Element Method

DC Rodopoulos, TV Gortsas, SV Tsinopoulos… - European Journal of …, 2021 - Elsevier
Strain gradient fields seem to play an important role on the functionality of flexoelectric and
functionally graded materials, bones, biomembranes, new sensing equipment and micro …

Projection plane method for evaluation of arbitrary high order singular boundary integrals

XW Gao, WZ Feng, K Yang, M Cui - Engineering Analysis with Boundary …, 2015 - Elsevier
In this paper, an efficient method for numerical evaluation of all kinds of singular curved
boundary integrals from 2D/3D BEM analysis is proposed based on an operation technique …

Improved singular boundary method for elasticity problems

Y Gu, W Chen, X He - Computers & Structures, 2014 - Elsevier
This paper presents a simple approach to evaluate origin intensity factors of the singular
boundary method (SBM), a recent strong-form boundary discretization numerical technique …

DBEM computation of T-stress and mixed-mode SIFs using interaction integral technique

WZ Feng, LF Gao, YW Dai, W Qian - Theoretical and Applied Fracture …, 2020 - Elsevier
In this paper, dual boundary element method (DBEM) is combined with interaction integral (I-
integral) to evaluate stress intensity factors (SIFs) and T-stress simultaneously for mixed …