Topological methods in one numerical scheme of solving three-dimensional continuum mechanics problems

DOI10.3103/S1066369X18090086OpenAlexW2891967520MaRDI QIDQ1755809

D. T. Chekmaryov, Evgeniy Ivanovich Yakovlev

Publication date: 11 January 2019

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x18090086

zbMATH Keywords

manifoldfinite element methodpolyhedronintersection formhomology groupcontinuum mechanicscomputational topologycell complex

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Related Items (1)

Computing intersection numbers and bases of cohomology groups for triangulated closed three-dimensional manifolds

Cites Work

• Index vector-function and minimal cycles
• Solving the 3D Elasticity Problems by Rare Mesh FEM Scheme
• Numerical analysis of topological characteristics of three-dimensional geological models of oil and gas fields
• A stabilization technique to avoid hourglassing in finite elasticity
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