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 …

Surface motion of multiple alluvial valleys for incident plane SH-waves by using a semi-analytical approach

JT Chen, PY Chen, CT Chen - Soil Dynamics and Earthquake Engineering, 2008 - Elsevier
In this paper, the degenerate kernels and Fourier series expansions are adopted in the null-
field integral equation to solve the exterior Helmholtz problems with alluvial valleys. The …

[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
contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View PDF …

Dynamic rupture on a planar fault in three-dimensional half space—I. Theory

H Zhang, X Chen - Geophysical Journal International, 2006 - academic.oup.com
In this study, we extended the boundary integral equation method (BIEM) to include the
effect of free surface, which is crucial for the interpretation of near-field observations of large …

An efficient method to evaluate hypersingular and supersingular integrals in boundary integral equations analysis

G Karami, D Derakhshan - Engineering Analysis with Boundary Elements, 1999 - Elsevier
An efficient algorithm is employed to evaluated hyper and super singular integral equations
encountered in boundary integral equations analysis of engineering problems. The …

Null-field integral equations for stress field around circular holes under antiplane shear

JT Chen, WC Shen, AC Wu - Engineering Analysis with Boundary …, 2006 - Elsevier
In this paper, we derive the null-field integral equation for a medium containing circular
cavities with arbitrary radii and positions under uniformly remote shear. To fully capture the …

A direct approach for boundary integral equations with high‐order singularities

A Frangi, M Guiggiani - International Journal for Numerical …, 2000 - Wiley Online Library
Boundary integral equations with extremely singular (ie, more than hypersingular) kernels
would be useful in several fields of applied mechanics, particularly when second‐and third …

Dynamic stress concentration for multiple multilayered inclusions embedded in an elastic half-space subjected to SH-waves

R Sheikhhassani, M Dravinski - Wave Motion, 2016 - Elsevier
The dynamic stress concentration factor (DSCF) is evaluated along the interfaces of multiple
multilayered inclusions embedded in a half-space when subjected to a plane harmonic SH …

Analytical integrations in 3D BEM for elliptic problems: Evaluation and implementation

A Salvadori - International Journal for Numerical Methods in …, 2010 - Wiley Online Library
The present publication deals with 3D elliptic boundary value problems (potential, Stokes,
elasticity) in the framework of linear, isotropic, and homogeneous materials. Numerical …