Calving is one of the main controls on the dynamics of marine ice sheets. We solve a quasi-
static linear elastic fracture dynamics problem, forced by a viscous pre-stress describing the …

Accurate computation of stress intensity factors (SIFs) for two-dimensional cracks by an
interaction integral method combined with special crack tip elements is presented in this …

The divergent integral∫ abf (x)(x− x 0)− n− 1 dx⁠, for−∞< a< x 0< b<∞ and n= 0, 1, 2,…, is
assigned, under certain conditions, the value equal to the simple average of the contour …

In this paper, we propose a new scheme for the temporal discretization of the new Caputo–
Hadamard fractional derivative in the form of incomplete gmma function via Whittaker M …

The indirect boundary integral formulation is inspired by the potential theory which is usually
applied to Laplace's equation (scalar or vector). Considering the similarity between Laplace …

边界元方法作为一种数值方法, 在各种科学工程问题中得到了广泛的应用.
本文参考了边界元法的求解思路, 从Somigliana 等式出发, 利用格林函数性质 …

The singular integral equation method is applied to present analytical solutions for modified
electric-magnetic-polarization saturation (EMPS) models subjected to semipermeable center …

We study Lévy flights with arbitrary index 0< μ≤ 2 inside a potential well of infinite depth.
Such a problem appears in many physical systems ranging from stochastic interfaces to …

This work provides a semi-analytical method for the calculation of the stress intensity factor
(SIF) associated with an internally pressurized eccentric annular crack embedded in an …

Many mathematical problems in science and engineering are defined by ordinary or partial
differential equations with appropriate initial-boundary conditions. Among the various …