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Numerik 3
Probleme der Kontinuumsmechanik und ihre numerische Behandlung
This introductory text is based on courses within a multi-semester cycle on “Numerical Mathematics” given by the author at Heidelberg University over a period of 25 years. The present fourth part is devoted to problems in Continuum Mechanics, especially in Structural and Fluid Mechanics, and their numerical solution by finite element methods. Again theoretical as well as practical aspects are considered. As basis of an appropriate numerical approximation the mathematical models are systematically derived from fundamental physical principles. The understanding of the contents requires besides the material of the preceding parts of this series, “Numerik 0 (Einführung in die Numerische Mathematik)”, “Numerik 1 (Numerik gewöhnlicher Differentialgleichungen)”, and “Numerik 2 (Numerik partieller Differentialgleichungen)” only that prior knowledge as is usually provided in the basic Analysis and Linear Algebra courses.
