The finite-element method (FEM) with mass lumping is an efficientscheme for modeling seismic wave propagation in the subsurface,especially in the presence of sharp velocity contrasts and roughtopography. A number of numerical simulations for triangles arepresented to illustrate the strength of the ...
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.doi:10.1016/0377-0427(92)90016-QA.B. AndreevV.A. KascievaM. Vanmaele...
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 ...
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 ...
conditions similar to a Galerkin finite-element model Consequently, a unified domain numerical model is developed that readily represents each of the abovementioned domain numerical methods and an infinity of finite-element mass-lumping schemes by the specification of a single constant model parameter. ...
Fried I, Malkus DS (1975) Finite element mass lumping by numerical integration with no convergence rate loss. Int J Solids Struct 11:461–466 Article MATH Google Scholar Geradin M (1973) Computational efficiency of equilibrium models for eigenvalue analysis. In: Fraeijs de Veubeke B (ed) ...
4.2.1 Lumping of the Mass Matrix The bandwidth of the consistent mass matrix computed from Eq. (4.18d) depends on the node-numbering scheme. To reduce computational effort, we generally approximate it by a lumped (or diagonal) matrix; the same is also done for the consistent heat capacity ...
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 wave equation, the consistent mass matrix plays an opposite role tolumped mass matrixin dispersion error,consistent mass matrix makes the dispersion error to be ahead of the true signal,whil...
6.Vibration Analysis of Kirchhoff Plates by the Nonconforming Element Method with Mass-Lumping;薄板弯曲问题的集中质量非协调有限元模拟 7.They concentrated their efforts on turning out more products of higher quality.他们集中力量制造更多高质量的产品。 8.We must concentrate our efforts on improving the...
A diagonal-mass-matrix triangular-spectral-element method based on cubature points - Giraldo, Taylor () Citation Context ...raightforward for piecewise linear elements [8, 32], mass lumping techniques require particular quadrature or cubature rules at higher order to preserve the accuracy and ...