This self-contained book, the first in a two-part series on hp-adaptive finite elements by Leszek Demkowicz, describes 1D and 2D finite element codes and automatic hp-adaptivity strategies that are designed to deliver meshes in the full range of error levels. The book first considers standard 1D elliptic problems and a 1D wave propagation problem. The author proceeds to discuss 2D elliptic problems, examining two model problems that are slightly beyond standard-level examples. He also includes an entire chapter on geometric modeling and mesh generation. The book then focuses on 2D time-harmonic Maxwell equations. A companion CD-ROM containing 1D and 2D codes accompanies the text.
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