The purpose of this review paper is to present the techniques, advances, problems and
likely future developments in numerical modelling for rock mechanics. Such modelling is …

This article discusses finite element Galerkin schemes for a number of linear model
problems in electromagnetism. The finite element schemes are introduced as discrete …

Deep learning surrogate models have shown promise in solving partial differential
equations (PDEs). Among them, the Fourier neural operator (FNO) achieves good accuracy …

The deal.II library, Version 9.2 Skip to content Should you have institutional access? Here's how
to get it ... De Gruyter € EUR - Euro £ GBP - Pound $ USD - Dollar EN English Deutsch 0 …

In this chapter, we will study the fundamentals of the FE method, which are important for
simulating the behavior of piezoelectric sensors and actuators. The focus lies on linear FE …

Nektar++ is an open-source software framework designed to support the development of
high-performance scalable solvers for partial differential equations using the spectral/hp …

Systems of coupled, nonlinear partial differential equations (PDEs) often arise in simulation
of nuclear processes. MOOSE: Multiphysics Object Oriented Simulation Environment, a …

A new finite element method is presented that features the ability to include in the finite
element space knowledge about the partial differential equation being solved. This new …

扩展有限元法(extended finite element method, XFEM) 是1999 年提出的一种求解不连续力学
问题的数值方法, 它继承了常规有限元法(CFEM) 的所有优点, 在模拟界面, 裂纹生长 …

This is a survey of nonlinear approximation, especially that part of the subject which is
important in numerical computation. Nonlinear approximation means that the approximants …