A locally calculable P3‐pressure in a decoupled method for incompressible Stokes equations

• DOI: 10.1002/num.23101
• Publication Date: 2024-03-22T09:27:20Z
• Authors: Chunjae Park
• Keywords: Pressure-correction method

Abstract This article will suggest a new finite element method to find ‐velocity and ‐pressure solving incompressible Stokes equations at low cost. The solves first the decoupled equation for ‐velocity. Then, using calculated velocity, locally calculable be defined component‐wisely. resulting is analyzed have optimal order of convergence. Since pressure by local computation only, chief time cost on Besides, overcomes problem singular vertices or corners.