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ApplicationsThe chapter discusses the development, analysis, and implementation of numerical methods for boundary value problems in elasticity, electromagnetism, and fluid mechanics. Each of the considered problems requires a suitable numerical treatment to capture relevant effects with a low number of degrees of freedom.
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978-3-319-81265-6Springer International Publishing Switzerland 2016
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Finite Difference Methodethods. The accuracy of the methods is investigated via stability and consistency properties assuming the existence of regular solutions. Optimal order convergence rates for general boundary conditions are addressed. The practicality of the methods is illustrated with short implementations.
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