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Nonlinear Elliptic Partial Differential Equations

Name: Nonlinear Elliptic Partial Differential Equations
Creator: Jonathan P. Whiteley

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Other literature type 01 Jan 2017Publisher:Springer International Publishing

Authors: Jonathan P. Whiteley;

doi: 10.1007/978-3-319-49971-0_11

Nonlinear Elliptic Partial Differential Equations

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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.

Related Organizations

University of Oxford
United Kingdom
University of Oxford
United Kingdom

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