An a posteriori error analysis of a velocity–pseudostress formulation of the generalized Stokes problem

Autor: María González, Tomás P. Barrios, Galina C. García, Rommel Bustinza

Publikováno v: Journal of Computational and Applied Mathematics. 357:349-365

We consider a stabilized mixed finite element method introduced recently for the generalized Stokes problem. The method is obtained by adding suitable least squares terms to the dual-mixed variational formulation of the problem in terms of the veloci

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https://doi.org/10.1016/j.cam.2019.02.019

Numerical observers with vanishing viscosity for the 1d wave equation

Autor: Takéo Takahashi, Galina C. García

Publikováno v: Advances in Computational Mathematics
Advances in Computational Mathematics, 2014, 40 (4), pp.711-745. ⟨10.1007/s10444-013-9320-5⟩
ADVANCES IN COMPUTATIONAL MATHEMATICS
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Advances in Computational Mathematics, Springer Verlag, 2014, 40 (4), pp.711-745. ⟨10.1007/s10444-013-9320-5⟩

We consider a numerical scheme associated with the iterative method developed in Ramdani et al. (ESAIM Control Optim. Calc. Var. 13(3):503---527, 2007) to recover initial conditions of conservative systems. In this method, the initial conditions are

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20cf6a03622511eb091989a3812076d5
https://doi.org/10.1007/s10444-013-9320-5

A priori and a posteriori error analysis for a large-scale ocean circulation finite element model

Autor: J. M. Cascón, Galina C. García, Rodolfo Rodríguez

Publikováno v: Computer Methods in Applied Mechanics and Engineering. 192:5305-5327

We consider the finite element solution of the stream function–vorticity formulation for a large-scale ocean circulation model. First, we study existence and uniqueness of solution for the continuous and discrete problems. Under appropriate regular

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4e3e215319ceea827b9ffa5ba6656fd8
https://doi.org/10.1016/j.cma.2003.09.002

A heat source reconstruction formula from single internal measurements using a family of null controls

Autor: Galina C. García, Marcelo Tapia, Axel Osses

Publikováno v: Journal Of Industrial And Management Optimization
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JOURNAL OF INVERSE AND ILL-POSED PROBLEMS

We consider the inverse problem of determining the spatial dependence of the source term in a heat equation in assuming known, from a single internal measurements of the solution in . The purpose of this paper is to establish a reconstruction formula

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Inverse problem and null-controllability for parabolic systems

Autor: Takéo Takahashi, Galina C. García

Publikováno v: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS
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CONICYT Chile
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Journal of Inverse and Ill-posed Problems
Journal of Inverse and Ill-posed Problems, De Gruyter, 2011, 19, pp.379--405. ⟨10.1515/JIIP.2011.036⟩
Journal of Inverse and Ill-posed Problems, 2011, 19, pp.379--405. ⟨10.1515/JIIP.2011.036⟩

In this paper, we present some abstract results giving a general connection between null-controllability and several inverse problems for a class of parabolic equations. We obtain some conditional stability estimates for the inverse problems consisti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91dd6b8a0707a407d8b8b675335f8958