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...

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Published in:Journal of engineering mechanics 2024-04, Vol.150 (4)
Main Authors: Epstein, Marcelo, Soleimani, Kasra, Sudak, Leszek
Format: Article
Language:English
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Hyperbolic differential equations
Mathematical analysis
Matrices (mathematics)
Operators (mathematics)
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Sudak, Leszek
description 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.
doi_str_mv 10.1061/JENMDT.EMENG-7350
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source ASCE美国土木工程师学会电子期刊和会议录
subjects Hyperbolic differential equations
Mathematical analysis
Matrices (mathematics)
Operators (mathematics)
title Applications of Space–Time Elements
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