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arxiv: 1403.1402 · v2 · pith:OTG3S5GAnew · submitted 2014-03-06 · 🧮 math.NA · cs.NA

Error analysis for an ALE evolving surface finite element method

classification 🧮 math.NA cs.NA
keywords methodsurfaceelementerrorevolvingfinitenumericaladvection
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We consider an arbitrary-Lagrangian-Eulerian evolving surface finite element method for the numerical approximation of advection and diffusion of a conserved scalar quantity on a moving surface. We describe the method, prove optimal order error bounds and present numerical simulations that agree with the theoretical results.

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