Mixed finite element methods for biharmonic obstacle problems

• Paolo Piersanti ^[1] ; Tianyu Sun ^[2]
  1. [1] Chinese University of Hong Kong

     Chinese University of Hong Kong

     RAE de Hong Kong (China)

     
  2. [2] Indiana University Bloomington

     Indiana University Bloomington

     Township of Bloomington, Estados Unidos

     
• Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 82, Nº. 2, 2025, págs. 241-250
• Idioma: inglés
• DOI: 10.1007/s40324-025-00383-x
• Enlaces
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• Resumen

  • This paper is devoted to the study of an alternative Finite Element Method to the one originally proposed by Ciarlet & Raviart, and then complemented by Ciarlet & Glowinski, for studying the numerical approximation of the solution of the biharmonic problem. In addition to providing an alternative way of approximating the solution of the biharmonic problem, the method here presented is valid also in the context where the solution to the biharmonic problem is subjected to a constraint. The theoretical results we derived are complemented by a series of numerical experiments.