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Computational Mathematics

间断伽辽金方法

Discontinuous Galerkin Method

A finite element method for the numerical solution of partial differential equations. It combines features of the finite element and finite volume methods. / 一种用于偏微分方程数值解的有限元方法。它结合了有限元和有限体积方法的特点。

Knowledge type
数学理论
First proposed or discovered
Proposer
Turkey Farm member
Creator
农场主
Last updated
2026-10-29 19:06:24
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Sub-knowledge points

Weak formulationNumerical fluxElemental assembly

Higher-order knowledge points

Finite Element MethodFinite Volume MethodSpectral Element Method

Main parameters and performance indicators

polynomial degree: order of accuracystabilization parameter: for handling discontinuities

Open problems

Optimal error estimates for complex nonlinear problemsEfficient implementation on high-performance architectures

Related literature

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Fully discrete, decoupled, second-order and unconditionally energy-stable DG–SAV–ZEC scheme for smectic-A liquid crystal hydrodynamicsOpen source

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automated knowledge publish农场主2026-10-29 19:06:24

Record title: Discontinuous Galerkin Method.