2021/07/18 by Chunjae Park, Park, Chunjae
Engineering · #65N30 #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
paper · pdf · doi:10.48550/arxiv.2107.08472
openalex publication_date 2021/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper will suggest a new finite element method to find a P4-velocity and a P3-pressure solving incompressible Stokes equations at low cost. The method solves first the decoupled equation for a P4-velocity. Then, using the calculated velocity, a locally calculable P3-pressure will be defined component-wisely. The resulting P3-pressure is analyzed to have the optimal order of convergence. Since the pressure is calculated by local computation only, the chief time cost of the new method is on solving the decoupled equation for the P4-velocity. Besides, the method overcomes the problem of singular vertices or corners.