ESAIM: Proceedings (ESAIM: PROC)

Free access article

ESAIM: Proc., 2007, Vol. 21, pp. 1-15
DOI: 10.1051/proc:072101

Projection-based interpolation and automatic hp-adaptivity for finite element discretizations of elliptic and Maxwell problems

L. Demkowicz and J. Kurtz

Institute for Computational Engineering and Sciences The University of Texas at Austin, Austin, TX 78712, USA

(Published online: 4 December 2007)

Abstract
Following a summary of results on the Projection-Based Interpolation for H¹-, : H(curl)-, and H(div)-conforming finite elements, we review the main steps of the hp-algorithm that produces automatically a sequence of hp-refined meshes, and delivers exponential convergence for both regular and singular solutions. The algorithm is illustrated with numerical examples from acoustic and electromagnetic scattering.