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Space-Time adaptive algorithm for the mixed parabolic problem

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Abstract

In this paper we present an a-posteriori error estimator for the mixed formulation of a linear parabolic problem, used for designing an efficient adaptive algorithm. Our space-time discretization consists of lowest order Raviart-Thomas finite element over graded meshes and discontinuous Galerkin method with variable time step. Finally, several examples show that the proposed method is efficient and reliable.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Salamanca, Plaza de la Merced 1-4, 37008, Salamanca, Spain

    J. M. Cascón

  2. Departamento de Matemática Aplicada, Universidad de Salamanca, Plaza de la Merced s/n, 37008, Salamanca, Spain

    L. Ferragut & M. I. Asensio

Authors
  1. J. M. Cascón
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  2. L. Ferragut
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  3. M. I. Asensio
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Cascón, J., Ferragut, L. & Asensio, M. Space-Time adaptive algorithm for the mixed parabolic problem. Numer. Math. 103, 367–392 (2006). https://doi.org/10.1007/s00211-006-0677-y

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  • DOI: https://doi.org/10.1007/s00211-006-0677-y

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