Abstract
In Chap. 33, the existence and uniqueness of the weak solution of a boundary value problem as defined in Chap. 32, p. 375, have been proved provided the bilinear form ((v, u)) = A(v, u) + + a(v, u) is V-elliptic. In this chapter, the application of variational methods to the construction of this weak solution or its sufficiently close approximation will be discussed. As will be seen, these methods are very similar to those which have been applied in Chaps. 12 to 15 to the approximate solution of problems considerably more special as far as differential equations are concerned.
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© 1977 Karel Rektorys
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Rektorys, K. (1977). Application of Direct Variational Methods to the Construction of an Approximation of the Weak Solution. In: Variational Methods in Mathematics, Science and Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-6450-4_36
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DOI: https://doi.org/10.1007/978-94-011-6450-4_36
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-011-6452-8
Online ISBN: 978-94-011-6450-4
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