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

RojasMedar M. A. | Zendy

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

Author(s) -

RojasMedar M. A.

Publication year - 1997

Publication title -

zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 51

eISSN - 1521-4001

pISSN - 0044-2267

DOI - 10.1002/zamm.19970771003

Subject(s) - rate of convergence , norm (philosophy) , bounded function , mathematics , galerkin method , mathematical analysis , convergence (economics) , domain (mathematical analysis) , error analysis , magneto , work (physics) , motion (physics) , physics , classical mechanics , finite element method , computer science , thermodynamics , channel (broadcasting) , power (physics) , political science , law , economics , economic growth , computer network

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 H 1 ‐norm as well as estimates in the L 2 ‐norm with improved rate with respect to the one immediately derived from the previous H 1 ‐error estimate.

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