Applications of Space–Time Elements

The potential of a finite-element technique based on an egalitarian meshing of the space–time domain D of physical problems described by parabolic or hyperbolic differential equations is explored. A least-squares minimization technique is applied in the meshed domain D to obtain stiffness-like matri...

Full description

Saved in:
Bibliographic Details
Published in:Journal of engineering mechanics 2024-04, Vol.150 (4)
Main Authors: Epstein, Marcelo, Soleimani, Kasra, Sudak, Leszek
Format: Article
Language:English
Subjects:
Hyperbolic differential equations
Mathematical analysis
Matrices (mathematics)
Operators (mathematics)
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The potential of a finite-element technique based on an egalitarian meshing of the space–time domain D of physical problems described by parabolic or hyperbolic differential equations is explored. A least-squares minimization technique is applied in the meshed domain D to obtain stiffness-like matrices associated with various linear differential operators. Applications discussed include problems of boundary growth, and diffusive coalescence, in which D cannot be regarded as the Cartesian product of two independent domains in space and time.
ISSN:0733-9399
1943-7889
DOI:10.1061/JENMDT.EMENG-7350