Coercivity results of the polygonal finite volume element method based on Wachspress generalized barycentric coordinate over quadrilateral meshes

Key Points

• The result indicates improved coercivity in the finite volume element method across quadrilateral meshes.
• Key evidence shows that using Wachspress generalized barycentric coordinates significantly enhances stability metrics.
• Assessment involved a detailed analysis of numerical simulations on various quadrilateral mesh configurations.
• These findings may enable more robust computational methods in engineering applications.