Randomized trial demonstrates stability and accuracy of a stabilizer-free method for nonconvex geometries, suggesting improved computational efficiency.
Key Points
The aim is to develop a stabilizer-free weak Galerkin method for the Brinkman equations on various mesh types.
Developed a weak Galerkin finite element method eliminating conventional stabilization techniques.
Utilized bubble functions to enhance stability and convergence.
Conducted numerical experiments to test and validate theoretical error estimates.
Achieved optimal-order error estimates for the weak Galerkin finite element solutions.
Demonstrated stability of the method across convex and nonconvex meshes.
Validated the theoretical results with a series of numerical experiments.