Finite Element Solutions to Nonlinear Partial Differential Equations
Description:
This paper develops a numerical algorithm that produces finite element solutions for a broad class of partial differential equations. The method is based on steepest descent methods in the Sobolev space H¹(Ω). Although the method may be applied in more general settings, we consider only differential equations that may be written as a first order quasi-linear system. The method is developed in a Hilbert space setting where strong convergence is established for part of the iteration. We also prov…
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Date:
August 1981
Creator:
Beasley, Craig J. (Craig Jackson)