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The micropolar Navier-Stokes equations: A priori error analysis
Ricardo H. Nochetto, Abner J. Salgado, Ignacio Tomas
The unsteady Micropolar Navier-Stokes Equations (MNSE) are a system of parabolic partial differential equations coupling linear velocity and pressure with angular velocity: materia…
A PDE approach to fractional diffusion in general domains: a priori error analysis
Ricardo H. Nochetto, Enrique Otarola, Abner J. Salgado
The purpose of this work is the study of solution techniques for problems involving fractional powers of symmetric coercive elliptic operators in a bounded domain with Dirichlet bo…
Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients
Andrea Bonito, Ronald A. DeVore, Ricardo H. Nochetto
Elliptic partial differential equations (PDEs) with discontinuous diffusion coefficients occur in application domains such as diffusions through porous media, electro-magnetic fiel…