Arash Mehraban1, Henry Tufo1, Stein Sture2, Richard Regueiro2,*
CMES-Computer Modeling in Engineering & Sciences, Vol.129, No.3, pp. 1283-1303, 2021, DOI:10.32604/cmes.2021.017476
Abstract Higher-order displacement-based finite element methods are useful for simulating bending problems and potentially addressing mesh-locking associated with nearly-incompressible elasticity, yet are computationally expensive.
To address the computational expense, the paper presents a matrix-free, displacement-based, higher-order, hexahedral finite element implementation of compressible and nearly-compressible (ν → 0.5) linear isotropic elasticity
at small strain with p-multigrid preconditioning. The cost, solve time, and scalability of the implementation with
respect to strain energy error are investigated for polynomial order p = 1, 2, 3, 4 for compressible elasticity, and p =
2, 3, 4 for nearly-incompressible elasticity, on different number of CPU cores for… More >
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