Publicación: A FINITE ELEMENT ANALYSIS OF A PSEUDOSTRESS FORMULATION FOR THE STOKES EIGENVALUE PROBLEM
Fecha
2015
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IMA JOURNAL OF NUMERICAL ANALYSIS
Resumen
IN THIS PAPER WE ANALYSE A FINITE ELEMENT APPROXIMATION OF THE STOKES EIGENVALUE PROBLEM. WE INTRODUCE A VARIATIONAL FORMULATION RELYING ONLY ON THE PSEUDOSTRESS TENSOR AND PROPOSE A DISCRETIZATION BY MEANS OF THE LOWEST-ORDER BREZZI?DOUGLAS?MARINI MIXED FINITE ELEMENT. HOWEVER, SIMILAR RESULTS HOLD TRUE FOR OTHER H(DIV)-CONFORMING ELEMENTS, LIKE RAVIART?THOMAS ELEMENTS. WE SHOW THAT THE RESULTING SCHEME PROVIDES A CORRECT APPROXIMATION OF THE SPECTRUM AND PROVE OPTIMAL-ORDER ERROR ESTIMATES. FINALLY, WE REPORT SOME NUMERICAL TESTS SUPPORTING OUR THEORETICAL RESULTS.
