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.
Keywords
- General Boundary Value Problems
- Finite Element Solution
- Natural Neumann Boundary Conditions
- Define Basis Functions
- Canonical Element
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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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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