We present a review of the application of the spectral-element method to regional and global
seismology. This technique is a high-order variational method that allows one to compute …

An open question concerns the spatial distribution of nodes that are suitable for high-order
Lagrange interpolation on the triangle and tetrahedron. Several current methods used to …

Algorithms are presented that enable the element matrices for the standard finite element
space, consisting of continuous piecewise polynomials of degree n on simplicial elements in …

Lower-order finite elements have been conventionally used to solve a wide range of
practical problems involving laminated composite plates. However, these elements are …

We propose a procedure to investigate local stress intensity factors at the scale of the
osteons in human Haversian cortical bone. The method combines a specific experimental …

近年来构造高精度, 高效且具有长时程跟踪能力的保结构算法已逐渐成为地震波模拟算法发展的
重要方向之一. 本文基于谱元法(SEM) 进行空间域离散结合新推导的三阶辛算法(NTSTO) …

Mass-lumped continuous finite elements allow for explicit time stepping with the second-
order wave equation if the resulting integration weights are positive and provide sufficient …

In recent years, structure-preserving algorithms effective for treating problems of high-
precision and long-time tracing have emerged as one attractive topic of the numerical …

This paper presents an uniform and unified approach to construct h‐and p‐shape functions
for quadrilaterals, triangles, hexahedral and tetrahedral based on the tensorial product of …

We construct a well-conditioned hierarchical basis for triangular H (curl)-conforming
elements with selected orthogonality. The basis functions are grouped into edge and interior …