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Applications of Space-Time Elements
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DOI：10.1061/JENMDT.EMENG-7350.png)
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摘要
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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.
Keyword:
Finite elements
Initial-boundary value problems in partial differential equations (PDEs)
Diffusion
Moving boundaries
Boundary growth
Coalescence
期刊
IF:
5.3
论文数:
5.0K
被引数:
3.2W
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引用论文
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Velocity-based time-discontinuous Galerkin space-time finite element method for elastodynamics弹性动力学的基于速度的时间间断Galerkin时空有限元方法
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