Approximation of the three-field Stokes system via optimized quadrilateral finite elements. (English) Zbl 0765.76053

Summary: In a recent paper the first two authors showed that a convenient choice of “bubble tensors” leads to a significant reduction of the number of degrees of freedom needed to define finite element spaces for the extra stresses, suitable for the solution of viscoelastic flow problems. In this context specialists’ usual guiding criterion is a stable and accurate approximation of the underlying linear problem: the three-field Stokes system. Keeping this in view, a new element for the approximation of this problem following the same ideas is presented. Some computer tests illustrate the potentialities of the new methods.


76M10 Finite element methods applied to problems in fluid mechanics
76A10 Viscoelastic fluids
Full Text: DOI EuDML


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