Review of dual boundary element methods with emphasis on hypersingular integrals and divergent series

JT Chen, HK Hong - 1999 - asmedigitalcollection.asme.org
This article provides a perspective on the current status of the formulations of dual boundary
element methods with emphasis on the regularizations of hypersingular integrals and …

Regularization techniques applied to boundary element methods

M Tanaka, V Sladek, J Sladek - 1994 - asmedigitalcollection.asme.org
This review article deals with the regularization of the boundary element formulations for
solution of boundary value problems of continuum mechanics. These formulations may be …

Modelling of pile wave barriers by effective trenches and their screening effectiveness

SE Kattis, D Polyzos, DE Beskos - Soil Dynamics and Earthquake …, 1999 - Elsevier
The three-dimensional problem of isolation of vibration by a row of piles is studied
numerically on the basis of a model replacing the row of piles by an effective trench in order …

Vibration isolation by a row of piles using a 3‐D frequency domain BEM

SE Kattis, D Polyzos, DE Beskos - International Journal for …, 1999 - Wiley Online Library
The problem of vibration isolation by a row of piles is numerically solved in a three‐
dimensional context by an advanced frequency domain boundary element method (BEM) …

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 …

[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 …

Hypersingular formulation for boundary stress evaluation

M Guiggiani - Engineering Analysis with Boundary Elements, 1994 - Elsevier
Instead of using shape function derivatives and Hooke's law, the full stress tensor is
evaluated at boundary points by direct application of boundary integral identities for the …

An adaptive element subdivision technique for evaluation of various 2D singular boundary integrals

XW Gao, K Yang, J Wang - Engineering analysis with boundary elements, 2008 - Elsevier
In this paper, a unified algorithm is presented for the numerical evaluation of weakly,
strongly and hyper singular boundary integrals with or without a logarithmic term, which …

[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 …

An explainable machine learning-based probabilistic framework for the design of scaffolds in bone tissue engineering

G Drakoulas, T Gortsas, E Polyzos… - … and Modeling in …, 2024 - Springer
Recently, 3D-printed biodegradable scaffolds have shown great potential for bone repair in
critical-size fractures. The differentiation of the cells on a scaffold is impacted among other …