[PDF][PDF] Convergence of Weak Galerkin Finite Element Method for Westervelt's Quasi-linear Wave Equation

P Jana, N Kumar, P Zhu, B Deka - 2024 - hal.science
We propose a weak Galerkin finite element method for the Westervelt model of ultrasound
waves on polygonal meshes. More precisely, we study the spatial discretization of …