Titlebook: Large-Scale Scientific Computing; 11th International C Ivan Lirkov,Svetozar Margenov Conference proceedings 2018 Springer International Pub

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Numerical Solution of Cahn-Hilliard System by Adaptive Least-Squares Spectral Element Methods. . Hermite polynomials are used to give global differentiability in the approximated solution, and a space-time coupled formulation and the element-by-element technique are implemented. Two benchmark problems are presented in order to compare two refinement criteria based on the gradient of the solution and the local residual.

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An Algebraic Multigrid Method for an Adaptive Space–Time Finite Element Discretization on a Galerkin–Petrov variational formulation using piecewise linear finite elements simultaneously in space and time. In this work, we focus on .–adaptivity relying on a residual based a posteriori error estimation, and study some important components in the algebraic multigrid method for solving the space–time finite element equations.

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