Article ID Journal Published Year Pages File Type
1140470 Mathematics and Computers in Simulation 2007 7 Pages PDF
Abstract
We propose a new class of hierarchic higher-order finite elements suitable for the hp-FEM discretization of symmetric linear elliptic problems. These elements use shape functions which are partially orthonormal on the reference domain under the energetic inner product induced by the elliptic problem. We present numerical experiments showing excellent conditioning properties of the new partially orthogonal shape functions compared to other popular sets of hierarchic shape functions.
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Physical Sciences and Engineering Engineering Control and Systems Engineering
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