Galerkin method for constrained variational equations and a collage-based approach to related inverse problems

• M.I. Berenguer ^[1] ; H. Kunze ^[2] ; D. La Torre ^[3] ; M. Ruiz Galán ^[1]
  1. [1] Universidad de Granada

     Universidad de Granada

     Granada, España

     
  2. [2] University of Guelph

     University of Guelph

     Canadá

     
  3. [3] University of Milan

     University of Milan

     Milán, Italia

     

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• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 292, Nº 1 (15 January 2016), 2016, págs. 67-75
• Idioma: inglés
• DOI: 10.1016/j.cam.2015.06.016
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• Resumen

  • For a general variational equation with constraints we present both the stability of the corresponding Galerkin method and a collage theorem for a related inverse problem. In addition we demonstrate the applicability of the results by considering forward and inverse boundary value problems of some linear impulsive differential equations.