A Parallel Study of the Approximate Component Mode Synthesis Special Finite Element Method
نویسندگان
چکیده
A special finite element method based on approximate component mode synthesis (ACMS) was introduced in [U. Hetmaniuk, R. Lehoucq, A special finite element method based on component mode synthesis, ESAIM: Mathematical Modelling and Numerical Analysis, 44 (2010), 401-420]. ACMS was developed for second order elliptic partial differential equations with rough or highly varying coefficients. Here, a parallel implementation of ACMS is presented and parallel scalability issues are discussed for representative examples. Additionally, a parallel domain decomposition preconditioner (FETI-DP) is applied to solve the ACMS finite element system. Weak parallel scalabilty results for ACMS are presented for up to 1024 cores. Our numerical results also suggest a quadratic-logarithmic condition number bound for the preconditioned FETI-DP method applied to ACMS discretizations.
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