A Priori and a Posteriori Error Analyses of a Pressure-Robust Virtual Element Method for the Two-Dimensional Brinkman problem

Key Points

• Pressure-robust virtual element method effectively addresses error in the Brinkman problem, enhancing solutions.
• Key evidence indicates significant error reduction with mesh refinement and stability metrics during analysis.
• Observational analysis focuses on error metrics related to numerical methods applied to the two-dimensional Brinkman problem.
• Findings support the virtual element method as a robust tool for solving complex fluid dynamics problems, necessitating further validation.