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The finite volume method on Sierpiński Simplices
Communications in Nonlinear Science and Numerical Simulation ( IF 3.4 ) Pub Date : 2020-07-31 , DOI: 10.1016/j.cnsns.2020.105468 Nizar Riane , Claire David
中文翻译:
SierpińskiSimplices上的有限体积法
更新日期:2020-07-31
Communications in Nonlinear Science and Numerical Simulation ( IF 3.4 ) Pub Date : 2020-07-31 , DOI: 10.1016/j.cnsns.2020.105468 Nizar Riane , Claire David
In the sequel, we extend the Strichartz average approach, for the Laplacian on Sierpiński Simplices, which uses average values of a function over basic sets, following the seminal work of Kusuoka and Zhou, rather than using pointwise ones as classically done in the literature. Until now, the implementation of the related finite volume method, in the case of Sierpiński Simplices, had not been done.
中文翻译:
SierpińskiSimplices上的有限体积法
在续集中,我们扩展了Strichartz平均方法,适用于SierpińskiSimplices上的Laplacian,该方法在Kusuoka和Zhou的开创性工作之后使用基本集上函数的平均值,而不是像文献中那样经典地使用逐点方法。到目前为止,在SierpińskiSimplices中,尚未完成相关有限体积方法的实现。