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To solve the shell problem, we propose a mixed finite element method with bubble-stabilization term and discrete Riesz-representation operators. It is shown that this new method is coercive, implying the well-knownK-ellipticity and the Inf-Sup condition being circumvented, and the resulting linear system is symmetrically positively definite, with a condition number being at mostO(h −2). Further, an optimal error bound is attained.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Jul 3, 2007
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