3 papers
math.NA2025
Stabilizer-free Weak Galerkin Methods for Quad-Curl Problems on polyhedral Meshes without Convexity Assumptions
Chunmei Wang, Shangyou Zhang
This paper introduces an efficient stabilizer-free weak Galerkin (WG) finite element method for solving the three-dimensional quad-curl problem. Leveraging bubble functions as a ke…
math.NA2025
An Auto-Stabilized Weak Galerkin Method for Elasticity Interface Problems on Nonconvex Meshes
Chunmei Wang, Shangyou Zhang
This paper introduces an auto-stabilized weak Galerkin (WG) finite element method for elasticity interface problems on general polygonal and polyhedral meshes, without requiring co…
math.NA2025
Auto-Stabilized Weak Galerkin Finite Element Methods for Stokes Equations on Non-Convex Polytopal Meshes
Chunmei Wang, Shangyou Zhang
This paper introduces an auto-stabilized weak Galerkin (WG) finite element method for solving Stokes equations without relying on traditional stabilizers. The proposed WG method ac…