New Primal-Dual Weak Galerkin Finite Element Methods for Convection-Diffusion Problems
New Primal-Dual Weak Galerkin Finite Element Methods for Convection-Diffusion Problems
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DOI：
10.1016/j.apnum.2020.12.012
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发表时间：
2020-01
期刊：
影响因子：
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通讯作者：
Waixiang Cao;Chunmei Wang
中科院分区：
文献类型：
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作者：
Waixiang Cao;Chunmei Wang
针对对流扩散方程，提出了一种新的原始-对偶弱Galerkin有限元方法。在各种离散范数和标准L2范数下，建立了原始-对偶弱Galerkin逼近的最优阶误差估计.一系列的数值实验进行和报告，以验证理论研究结果。
This article devises a new primal-dual weak Galerkin finite element method for the convection-diffusion equation. Optimal order error estimates are established for the primal-dual weak Galerkin approximations in various discrete norms and the standard L 2 norms. A series of numerical experiments are conducted and reported to verify the theoretical findings.