Probabilistic domain decomposition (PDD) is an alternative paradigm for solving boundary
value problems (BVPs) in parallel with excellent scalability properties, thanks to its reliance …

The element-free Galerkin (EFG) method is developed in this paper for solving the nonlinear
p-Laplacian equation. The moving least squares approximation is used to generate …

摘要乌石凹陷流砂港组地层岩石粒度变化大, 低孔, 低渗目标占比近50%,“甜点”
储层预测是实现油田经济开发的关键因素, 而储层孔隙度, 黏土杂积含量评价是“甜点” …

We consider the solution of boundary value problems of mathematical physics with neural
networks of a special form, namely radial basis function networks. This approach does not …

In this paper, the improved element-free Galerkin (IEFG) method is developed for the
numerical analysis of the nonlinear p-Laplacian problem. In this method, the improved …

A methodology is presented for the numerical solution of nonlinear elliptic systems in
unbounded domains, consisting of three elements. First, the problem is posed on a finite …

Рассматривается решение краевых задач математической физики на нейронных
сетях специального вида—сетях радиальных базисных функций. Рассматриваемый …

In this paper we study the Fréchet differentiability of the objective functional for a quite
general class of coefficient inverse problems. We present sufficient conditions for the …

Digital twins are widely used in modern industry. A digital twin is a computer model that
copies the behavior of a physical object. Digital twins of objects with distributed parameters …

The flow of a viscous fluid past a cylinder is a classical problem in fluid-structure interaction
and a benchmark for numerical methods in computational fluid dynamics. We solve it with …