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Applications of Space-Time Elements

delete2024-04-01
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PRE
AI
M
Marcelo Epstein *
K
K Soleimani
L
L. J. Sudak
DOI:10.1061/JENMDT.EMENG-7350delete
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Abstract

Abstract

En 中文
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.
Keywords:
Finite elements
Initial-boundary value problems in partial differential equations (PDEs)
Diffusion
Moving boundaries
Boundary growth
Coalescence

Journal

Engineering Fracture Mechanics cover
Engineering Fracture Mechanics
IF:
5.3
Papers:
4.7K
Citations:
3.2W

Organization

U
University of Calgary
Scholars:
3.8W
Papers: 3.3W
Citations: 52