Applications of Space–Time Elements
Publication: Journal of Engineering Mechanics
Volume 150, Issue 4
Abstract
The potential of a finite-element technique based on an egalitarian meshing of the space–time domain of physical problems described by parabolic or hyperbolic differential equations is explored. A least-squares minimization technique is applied in the meshed domain to obtain stiffness-like matrices associated with various linear differential operators. Applications discussed include problems of boundary growth, and diffusive coalescence, in which cannot be regarded as the Cartesian product of two independent domains in space and time.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
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Published In
Journal of Engineering Mechanics
Volume 150 • Issue 4 • April 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: May 2, 2023
Accepted: Oct 26, 2023
Published online: Jan 30, 2024
Published in print: Apr 1, 2024
Discussion open until: Jun 30, 2024
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