Simplicial Lattice and Lagrange Elements

January 2, 2022January 9, 2022

We use Lagrange elements as an example to introduce the simplicial lattice and construction of finite elements based on a decomposition of the simplicial lattice.

Reference: Geometric decompositions of the simplicial lattice and smooth finite elements in arbitrary dimension Long Chen and Xuehai Huang. arXiv.2021.

https://lyc102.github.io/camtips/blog/Simplicial-Lattice/

2 thoughts on “Simplicial Lattice and Lagrange Elements”

Xuehai Huang says:

January 2, 2022 at 11:54 pm

It’s clear to use the one-to-one mapping between the Bernstein basis $\lambda^{\alpha}=\lambda_0^{\alpha_0}\lambda_1^{\alpha_1}\ldots\lambda_n^{\alpha_n}$ and the simplicial lattice $\alpha:=(\alpha_0,\alpha_1,\ldots, \alpha_n)\in\mathbb T_k^n$ .
lchen7 says:

January 2, 2022 at 11:24 pm

LaTeX Math Symbols is supported. Check https://docs.campuspress.com/en/articles/535

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