2023/04/23 by Jun Hu, Hu, Jun, Yizhou Liang +3 · 1 citation
Engineering · Mathematics · Medicine · #65N30 #Elasticity and Material Modeling #FOS: Mathematics #Geometric and Algebraic Topology #Medical Imaging Techniques and Applications #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.2304.11566
openalex publication_date 2023/04/23 · openalex created_date 2023/04/27 · openalex updated_date 2026/07/28
This paper discusses the construction of local bounded commuting projections for discrete subcomplexes of the gradgrad complexes in two and three dimensions, which play an important role in the finite element theory of elasticity (2D) and general relativity (3D). The construction first extends the local bounded commuting projections to the discrete de Rham complexes to other discrete complexes. Moreover, the argument also provides a guidance in the design of new discrete gradgrad complexes.