Solution to Dirichlet Problem of Poisson Equations on Level-3 Sierpinski Pyramid

This paper solves the Dirichlet problem for the Poisson equation on the level-3 Sierpinski Pyramid using tetrahedral symmetry and finite linear algebra. The calculation concerns the complete ten-map three-dimensional structure. It may suggest an approach to other levels, which require separate analysis.

Authors

Kunyuan Li (ORCID: https://orcid.org/0009-0006-0874-5033)
Kui Yao (ORCID: https://orcid.org/0009-0008-7695-0690)
Chenlong Xue (ORCID: https://orcid.org/0009-0009-5319-8317)
Xuanlin Wan (ORCID: https://orcid.org/0009-0005-7160-3962)
Xia Zhang

Publication Details

Journal: Fractals
Published: 2026-10-31
DOI: https://doi.org/10.1142/s0218348x26501768
Primary Topic: Mathematical Dynamics and Fractals
Type: article
Field-Weighted Citation Impact: 0.00

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article

Solution to Dirichlet Problem of Poisson Equations on Level-3 Sierpinski Pyramid

Kunyuan Li, Kui Yao, Chenlong Xue, Xuanlin Wan et al.

Oct 31, 2026

Fractals

Mathematical Dynamics and Fractals

article

Solution to Dirichlet Problem of Poisson Equations on Level-3 Sierpinski Pyramid

Kunyuan Li, Kui Yao, Chenlong Xue, Xuanlin Wan, Xia Zhang

October 31, 2026article en

Abstract

This paper solves the Dirichlet problem for the Poisson equation on the level-3 Sierpinski Pyramid using tetrahedral symmetry and finite linear algebra. The calculation concerns the complete ten-map three-dimensional structure. It may suggest an approach to other levels, which require separate analysis.

Fractals

Openalex Percentile: Top 7%

Mathematical Dynamics and Fractals

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Solution to Dirichlet Problem of Poisson Equations on Level-3 Sierpinski Pyramid — Kunyuan Li, Kui Yao, et al. · Fractals (2026) | TGRS Research Map | TGRS