John Robert Whiteman

MAFELAP 1987

The Mathematics of Finite Elements and Applications VI

A Bibliography for Finite Elements

Ivo Babus̆ka, Theofanis Strouboulis

Ivo Babuška

Theofanis Strouboulis

Professor of Aerospace Engineering and Engineering Science and Professor of Mathematics Ivo Babuska

Associate Professor Department of Aerospace Engineering Theofanis Strouboulis

The finite element method is a numerical method widely used in engineering. Experience shows that unreliable computation can lead to very serious consequences. Hence reliability questions stand are at the forefront of engineering and theoretical interests. This book presents the mathematical theory of the finite element method and is the first to focus on the questions of how reliable computed results really are. It addresses among other topics the local behaviour, errors caused by pollution, superconvergence, and optimal meshes. Many computational examples illustrate the importance of the theoretical conclusions for practical computations. Graduate students, lecturers, and researchers in mathematics, engineering, and scientific computation will benefit from the clear structure of the book, and will find this a very useful reference.

The Finite Element Method and Its Reliability

John Robert Whiteman

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