We prove that by using a specific lumping technique, the critical time step is exactly the same as if no crack were present. This somewhat improves a previous result for which the critical time step was reduced by a factor of square root of 2 from the case with no crack. The new ...
A generalized mass lumping technique for vector finite-element solutions of the time-dependent Maxwell equations 来自 国家科技图书文献中心 喜欢 0 阅读量: 42 作者:A Fisher,RN Rieben,GH Rodrigue,DA White 摘要: Time-domain finite-element solutions of Maxwell's equations require the solution of a ...
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,...
(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) to the FEM. Approximating a differential equation by means of the FEM, when the accumulation term ...
Special-lumping technique: Entries of the lumped mass matrix are set proportional to corresponding diagonal elements of the consistent mass matrix with the constant of proportionality selected to conserve the total mass. The positive definiteness of the consistent mass matrix requires that its diagonal ...
From an architectural point of view, wood is a warmer material, and architects will often leave mass timber structural elements exposed for aesthetic reasons. This technique reduces the need for other finishes like drywall and paint, which eliminates some sources of volatile organic compounds (VOCs)...
{M}^e\)must be nonnegative. Unlike the previous three conditions, this constraint is nonlinear in the mass matrix entries. It can be checked in two ways: through the eigenvalues of\(\mathbf {M}^e\), or the sequence of principal minors. The second technique is more practical if the ...
This technique involves enhancing the load-bearing capacity of the soil by inserting piers made of stone aggregates coated with concrete cement into the ground. Building Construction Phase Based on interviews with the construction team, the various tasks involved in the erection of the structure were...
In the present article, we introduce a new approach that uses a standard lumping technique, also known as the row‐sum technique, in the extended finite element method (XFEM) in order to stabilize a fully‐coupled hydromechanical model in the presence of a strong discontinuity. Typically, ...
To overcome these oscillations, we use the mass lumping technique which eliminates the oscillations at the interface. Tests on the problems in homogeneous porous media show that although the mass lumping technique slightly decreases the accuracy of the method, the experimental order of convergence ...