基于通量的 HDG 方法

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-05-31 DOI:10.1002/num.23117

Issei Oikawa

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引用次数: 0

摘要

本文针对稳态扩散问题提出了基于通量的可杂化非连续伽勒金（HDG）方法，并通过让稳定参数趋于无穷大提出了一种新方法。假设存在 inf-sup 条件，我们证明了该方法的拟合优度和最优阶误差估计。我们证明了一些三角形元素满足 inf-sup 条件。我们还提供了数值结果来支持我们的理论结果。

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A flux‐based HDG method

In this article, we present a flux‐based formulation of the hybridizable discontinuous Galerkin (HDG) method for steady‐state diffusion problems and propose a new method derived by letting a stabilization parameter tend to infinity. Assuming an inf‐sup condition, we prove its well‐posedness and error estimates of optimal order. We show that the inf‐sup condition is satisfied by some triangular elements. Numerical results are also provided to support our theoretical results.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464