Abstract
In Chap. 5, we explained how to apply the finite element method to nonlinear ordinary differential equations. We saw that calculating the finite element solution of nonlinear differential equations required us to solve a nonlinear system of algebraic equations and discussed how these algebraic equations could be solved. In this chapter, we explain how to apply the finite element method to nonlinear partial differential equations by combining: (i) the material on calculating the finite element solution of linear partial differential equations given in Chaps. 7–10 and (ii) the material on calculating the finite element solution of nonlinear ordinary differential equations in Chap. 5.
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Whiteley, J. (2017). Nonlinear Elliptic Partial Differential Equations. In: Finite Element Methods. Mathematical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-49971-0_11
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DOI: https://doi.org/10.1007/978-3-319-49971-0_11
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Online ISBN: 978-3-319-49971-0
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