The finite-element method (FEM) with mass lumping is an efficient scheme for modeling seismic wave propagation in the subsurface, especially in the presence of sharp velocity contrasts and rough topography. A number of numerical simulations for triangles are presented to illustrate the strength of ...
1) Mass lumping 质量矩阵集中2) lumped mass matrix 集中质量矩阵 1. Consistent mass matrix and lumped mass matrixes are the common types of mass matrixes in structural dynamic analysis. 一致质量矩阵与集中质量矩阵是结构动力分析中常用的质量矩阵形式。 2. Using finite-element simulation of acoustic ...
In this article, we construct new higher order finite element spaces for the approximation of the two-dimensional (2D) wave equation. These elements lead to explicit methods after time discretization through the use of appropriate quadrature formulas which permit mass lumping. These formulas are cons...
The goal of this study is to evaluate the effect of mass lumping on the dispersion properties of four finite-element velocity/surface-elevation pairs that are used to approximate the linear shallow-water equations. For each pair, the dispersion relation, obtained using the mass lumping technique,...
(1971), among others. In our approach the lumping of the mass matrix results from the use of a Lobatto quadrature formula for the integrals over rectangular Lagrange finite elements of degree k. Previous article in issue Next article in issue Keywords Eigenvalue problem lumped mass FEM numerical...
Fried I, Malkus DS (1975) Finite element mass lumping by numerical integration with no convergence rate loss. Int J Solids Struct 11:461–466 ArticleMATHGoogle Scholar Geradin M (1973) Computational efficiency of equilibrium models for eigenvalue analysis. In: Fraeijs de Veubeke B (ed) High...
The appropriate finite element space was introduced by Nédélec in the 1980s [92, 93] and the elements of this space are now called edge elements. In this section and in the following, we shall study quadrilateral and hexahedral edge elements with mass-lumping. More precisely, this section ...
研究的对象是两个质点，其mass matrix是对角矩阵，而这也是lumped mass matrix的特征。可以想见的是，...
3) Mass lumping 质量矩阵集中 4) lumped mass matrix 集总质量矩阵 5) Mass matrix 质量矩阵 1. By revising the rotation displacement equation,a mass matrix of this kind of structure is derived by virtual principle in this paper. 采用虚功原理,通过对单元转角-位移方程的修正,推导了这种计算模...
B is a stiffness matrix and P is the vector of loads. In the case of the finite element method (FEM), the mass matrix can be handled either consistently or by mass lumping. Mass lumping is a numerical technique, which attempts to transmit a feature of the finite differences method (FDM...