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Creators/Authors contains: "Allendes, Alejandro"

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  1. ; ; (, Mathematical Models and Methods in Applied Sciences)
    null (Ed.)
    In Lipschitz two- and three-dimensional domains, we study the existence for the so-called Boussinesq model of thermally driven convection under singular forcing. By singular we mean that the heat source is allowed to belong to [Formula: see text], where [Formula: see text] is a weight in the Muckenhoupt class [Formula: see text] that is regular near the boundary. We propose a finite element scheme and, under the assumption that the domain is convex and [Formula: see text], show its convergence. In the case that the thermal diffusion and viscosity are constants, we propose an a posteriori error estimator and show its reliability. We also explore efficiency estimates. 
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  2. ; ; (, SIAM Journal on Scientific Computing)
    null (Ed.)
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  3. ; ; (, Computer Methods in Applied Mechanics and Engineering)
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