Magneto‐Micropolar Fluid Motion: On the Convergence Rate of the Spectral Galerkin Approximations

Marko Antonio Rojas-Medar · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1997

Abstract In this work we study error estimates and their respective convergence rates for approximate solution of spectral Galerkin type for the equations of motion of a magneto‐micropolar fluid in a bounded domain. We find error estimates that are optimal in the H1‐norm as well as estimates in the L2‐norm with improved rate with respect to the one immediately derived from the previous H1‐error estimate.

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