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For the basic understanding of the topic aspects of numerical mathematics, natural sciences, computer science, and the corresponding engineering area are simultaneously important. Usually, the necessary information is distributed in different textbooks from the individual disciplines. In the present text the subject matter is presented in a comprehensive multidisciplinary way, where aspects from the different fields are treated insofar as it is necessary for general understanding. Overarching aspects and important questions related to accuracy, efficiency, and cost effectiveness are discussed.
Modeling of Continuum Mechanical Problems.
Discretization of Problem Domain.
Finite-Element Methods.
Other Discretization Methods.
Time Discretization.
Solution of Algebraic Systems of Equations.
Properties of Numerical Methods.
Finite-Element Methods in Structural Mechanics.
Finite-Volume Methods for Incompressible Flows.
Lattice-Boltzmann Methods for Flow Simulation.
Computation of Turbulent Flows.
Acceleration of Computations