Concepedia

Lumped Mass Matrix

A Lumped Mass Matrix is a diagonal mass matrix derived from the consistent mass matrix in finite element formulation by redistributing the element mass to the nodes in a manner that preserves total mass while simplifying dynamic analysis through decoupled equations of motion.

214

Publications

9.4K

Citations

508

Authors

239

Institutions

Publications per year

2017–2026

41

Variants

Diagonal Mass Matrix

Parents

Publications

214

A note on mass lumping and related processes in the finite element method

E. Hinton, T. Rock, O. C. Zienkiewicz · Earthquake Engineering & Structural Dynamics · 1976 · 369 citations

, , +12

A modified finite element method for solving the time‐dependent, incompressible Navier‐Stokes equations. Part 1: Theory

Philip Gresho, Stevens T. Chan, Robert L. Lee et al. · International Journal for Numerical Methods in Fluids · 1984 · 360 citations

, , +16

A Galerkin least‐squares finite element method for the two‐dimensional Helmholtz equation

Lonny L. Thompson, Peter M. Pinsky · International Journal for Numerical Methods in Engineering · 1995 · 253 citations

, , +11

Realistic Eigenvalue Bounds for the Galerkin Mass Matrix

Andy Wathen · IMA Journal of Numerical Analysis · 1987 · 237 citations

, , +16

On the theory of semi‐implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation

Philip Gresho, Stevens T. Chan · International Journal for Numerical Methods in Fluids · 1990 · 234 citations

, , +16

1–5 of 214

Authors

508

  1. VT
    Vidar Thomée

    Chalmers University of Technology, Sweden

    5 publications · 296 citations

    5

    h-index

  2. PG
    Philip Gresho

    Lawrence Livermore National Laboratory, United States

    5 publications · 722 citations

    5

    h-index

  3. DJ
    Daniel J. Inman

    Virginia Tech, United States

    3 publications · 155 citations

    3

    h-index

  4. RL
    Raytcho Lazarov

    Texas A&M University, United States

    3 publications · 269 citations

    3

    h-index

  5. DZ
    Dapeng Zhang

    Guangdong Ocean University, China

    3 publications · 64 citations

    3

    h-index

1–5 of 508

Institutions

239

  1. University of Michigan

    Ann Arbor, United States

    8 h-index

    15 publications

    671 citations

  2. Swansea University

    Swansea, United Kingdom

    5 h-index

    12 publications

    1.5K citations

  3. University of Colorado Boulder

    Boulder, United States

    4 h-index

    5 publications

    113 citations

  4. Lawrence Livermore National Laboratory

    Livermore, United States

    4 h-index

    13 publications

    2.4K citations

  5. Chalmers University of Technology

    Gothenburg, Sweden

    4 h-index

    4 publications

    236 citations

  6. Zhejiang University

    Hangzhou, China

    4 h-index

    9 publications

    154 citations

  7. Texas A&M University

    College Station, United States

    4 h-index

    9 publications

    686 citations

  8. Cornell University

    Ithaca, United States

    3 h-index

    3 publications

    110 citations

1–8 of 239

Venues

  1. 18

    h-index

  2. Journal of Sound and Vibration

    JSV · 9 publications · 283 citations

    9

    h-index

  3. 9

    h-index

  4. 8

    h-index

  5. Journal of vibration and acoustics

    7 publications · 180 citations

    7

    h-index

1–5