Adaptive hp-FEM with Arbitrary-Level Hanging Nodes for Maxwell's Equations

Pavel Solin
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
more » ... it makes adaptive hp-FEM more efficient compared to hp-FEM on regular meshes and meshes with one-level hanging nodes.
doi:10.4208/aamm.10-m1012 fatcat:bllbnlbvdjcyladgtpvwz4bcny