FINITE ELEMENT METHOD FOR PARTITIONING IRREGULAR MIXED TO DISCUSS BORDER CONTROL IN, WITH RESPECT TO THE STABILIZATION IN WAVE EQUATION

Authors

  • Claudio Fernando Balcazar Huapaya Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Lima Perú.
  • Maruja Yolanda Gavilán Gonzales Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Lima Perú.
  • María Del Carmen Cáceres Huamán Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Lima Perú.

DOI:

https://doi.org/10.15381/pes.v16i2.12168

Keywords:

Controllability in the boundary, stabilization, finite elements

Abstract

One investigates the controllability properties stabilization for the semidiscretizacion in one dimension of wave equation; where in this semidiscretizacion the meshes are not uniforms. The controllability in the boundary studies. A scheme of mixed finite elements is used; and it is constructed a succession of discreet controls Un for the semidiscreet equation of wave. We analyzed the convergence of this succession and test that assuming M- regularity of the meshes, the succession Un it converges to a continuous control.

Author Biographies

  • Claudio Fernando Balcazar Huapaya, Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Lima Perú.
    UNMSM, Facultad de Ciencias Matemáticas.
  • Maruja Yolanda Gavilán Gonzales, Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Lima Perú.
    UNMSM, Facultad de Ciencias Matemáticas.
  • María Del Carmen Cáceres Huamán, Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Lima Perú.
    UNMSM, Facultad de Ciencias Matemáticas.

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Published

2013-12-31

Issue

Section

Artículos

How to Cite

FINITE ELEMENT METHOD FOR PARTITIONING IRREGULAR MIXED TO DISCUSS BORDER CONTROL IN, WITH RESPECT TO THE STABILIZATION IN WAVE EQUATION. (2013). Pesquimat, 16(2). https://doi.org/10.15381/pes.v16i2.12168