An Efficient and Effective FEM Solver for Diffusion Equation with Strong Anisotropy
Explore an advanced finite element method (FEM) seminar presented by Lin Mu from the University of Georgia, focusing on solving diffusion equations with strong anisotropy. Delve into the development of a high-order discontinuous Galerkin scheme with an efficient preconditioner, designed to address numerical pollution in non-anisotropy-aligned meshes and reduce computational costs. Examine the auxiliary space preconditioning framework and the implementation of an effective line smoother using a graph-based approach. Gain insights into applications in magnetic confinement fusion and review numerical experiments that validate the method's effectiveness and robustness. Discover cutting-edge research in finite element analysis and its practical applications in solving complex diffusion problems.