An Introduction to Algebraic Multigrid

By Robert D. Falgout. Comput. Sci. Eng., 2006

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Primal‐dual active set methods for Allen–Cahn variational inequalities with nonlocal constraints (2010, methodology): “AMG and the various AMG methods can be found in [55].”
Choose a Transformer: Fourier or Galerkin (2021, background): “For example, the bilinear form b(·, ·) can incorporate information from the higher derivatives, DoFs for splines, etc; another example is that a single entry in a column of Q,K, V may stand for an edge DoF vector representation in a graph [81, 23], and the edge–edge interaction is extensively studie”
Highly scalable parallel domain decomposition methods with an application to biomechanics (2010, methodology): “In geometric multigrid methods se mi-coarsening and line relaxation have classically been used to deal with anisotropies, and in algebraic multigrid m ethods coarsening in the direction of strong coupling is often successful [51].”
Nodal Auxiliary Space Preconditioning in H(curl) and H(div) Spaces (2007, methodology): “(L + τM)−1 replaced with one V-cycle of an AMG method [35] for L + τM, and 3.”