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Linear Boundary Value Problems

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Finite Element Methods

Part of the book series: Mathematical Engineering ((MATHENGIN))

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Abstract

In the previous chapter, we demonstrated how to calculate the finite element solution of a very simple differential equation. The intention of this simple example was to give the reader an overview of the steps required when applying the finite element method. As a consequence, for the sake of clarity, some mathematical rigour was neglected. In this chapter, we introduce more rigour into our description of the finite element method and demonstrate how to calculate the finite element solution of general linear, second-order, boundary value problems.

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Correspondence to Jonathan Whiteley .

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Whiteley, J. (2017). Linear Boundary Value Problems. In: Finite Element Methods. Mathematical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-49971-0_3

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  • DOI: https://doi.org/10.1007/978-3-319-49971-0_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-49970-3

  • Online ISBN: 978-3-319-49971-0

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