Estimativo de error a posteriori para un fem en un modelo tipo boussinesq 2d

Luis Fernando  Mejía Rodríguez

doi:10.22490/ECBTI.6752

Vol. 3 No. 2 (2022)

Published

2022-11-25

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Mejía Rodríguez , L. F. . (2022). A posteriori error estimate for an emf in a 2d boussinesq type model. Documentos De Trabajo ECBTI, 3(2). https://doi.org/10.22490/ECBTI.6752

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A posteriori error estimate for an emf in a 2d boussinesq type model

DOI: https://doi.org/10.22490/ECBTI.6752

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Artículos

Luis Fernando Mejía Rodríguez Universidad Nacional Abierta y Distancia - UNAD

This work studies the numerical approximation of the solution of a non-linear 2D Boussinesq type system, where we implement a posteriori error method for the automatic refinement of the finite element method mesh to reduce the error in the approximation. In previous works, the existence and uniqueness of solutions for this type of system has been studied (Mejía & Muñoz, 2021; Chen, 2009). In this continuation of our work, we present post hoc error estimates for semi-discrete approximations and compare them with other estimates obtained automatically (Rognes & Logg, 2013).

finite element method, a posteriori estimate, Boussinesq systems

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Logg, A. Mardal, K. & Wells, G.N. (2011). Automated solution of differential equations by the finite element method. New Jersey: Springer.

Mejía, L. F. & Muñoz Grajales, J. C. (2021). Analytical and rothe time-discretization method for a boussinesq-type system over an uneven bottom. Communications in Nonlinear Science and Numerical Simulation, 102, 105951.

Mejía, L. F. (2019). Estudio analítico y numérico de un modelo bidimensional para la propagación de ondas en la superficie de un canal con fondo irregular. (Tesis de doctorado). Universidad del Valle, Cali.

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Rognes, M. E. & Logg, A. (2013). Automated goal-oriented error control i: Stationary variational problems. SIAM Journal on Scientific Computing, 35(3), C173–C193.

Mejía Rodríguez , L. F. . (2022). A posteriori error estimate for an emf in a 2d boussinesq type model. Documentos De Trabajo ECBTI, 3(2). https://doi.org/10.22490/ECBTI.6752

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A posteriori error estimate for an emf in a 2d boussinesq type model

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