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Adaptive hp-FEM with Arbitrary-Level Hanging Nodes for Maxwell's Equations
2010
Advances in Applied Mathematics and Mechanics
Adaptive higher-order finite element methods (hp-FEM) are well known for their potential of exceptionally fast (exponential) convergence. However, most hp-FEM codes remain in an academic setting due to an extreme algorithmic complexity of hp-adaptivity algorithms. This paper aims at simplifying hpadaptivity for H(curl)-conforming approximations by presenting a novel technique of arbitrary-level hanging nodes. The technique is described and it is demonstrated numerically that it makes adaptive
doi:10.4208/aamm.10-m1012
fatcat:bllbnlbvdjcyladgtpvwz4bcny