We develop the Galerkin method for a recent version of the Lax–Milgram theorem. The generation of the corresponding finite-dimensional subspaces for concrete boundary value problems leads us to consider certain biorthogonal systems in the reflexive Banach spaces in question. In addition, we present an application to the numerical solution of inverse problems involving certain elliptic boundary value problems
Galerkin schemes and inverse boundary value problems in reflexive Banach spaces / M. Berenguer, H. Kunze, D. La Torre, M. Ruiz Galán. - In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. - ISSN 0377-0427. - 275(2015 Feb 01), pp. 100-112. [10.1016/j.cam.2014.08.003]
Galerkin schemes and inverse boundary value problems in reflexive Banach spaces
D. La TorrePenultimo
;
2015
Abstract
We develop the Galerkin method for a recent version of the Lax–Milgram theorem. The generation of the corresponding finite-dimensional subspaces for concrete boundary value problems leads us to consider certain biorthogonal systems in the reflexive Banach spaces in question. In addition, we present an application to the numerical solution of inverse problems involving certain elliptic boundary value problems
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