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, ...
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 ...
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) ...
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)...
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 is consistently integrated, results from the expression: [Please refer to ...
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 ...
Chen,C. M. Fan.Convective drying analysis of three-dimensional porous solid by mass lumping finite element technique[J]. Heat and Mass Transfer .2008(4)K. Murugesan, D. C. Lo, D. L. Young, C. W. Chen and C. M. Fan, Convective drying analysis of three dimensional po- rous solid ...
The proposed mass lumping technique is a generalization of previously published results for cracks and holes. Time step estimates are studied for crack singular enrichment functions and for hole enrichment. In both cases, we show that the critical time step does not tend to zero and is of the ...
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 remains the same.Jakub SolovskyRadek FucikNumberical mathematiocs and advanced applications: European conference on numberical...
A mid-node mass lumping scheme is proposed to formulate the lumped mass matrices of serendipity elements for accurate structural vibration analysis. Since the row-sum technique leads to unacceptable negative lumped mass components for serendipity elements, the diagonal scaling HRZ method is frequently ...