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==Abstract==
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In this paper the FIC method is used as the basis for a new “alpha-adaptive”
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procedure (where alpha denotes the stabilization parameters) for obtaining stable
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solution in advective-diffusive problems where arbitrary sharp transverse gradients are
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present. The new stabilization thechnique can be viewed as an alternative class of
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adaptive methods where the numerical solution is enhanced by searching “adaptively”
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the optimal value of the streamline and transverse (crosswing) stabilization parameters
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while keeping the mesh and the finite element approximation unchanged. Indeed the
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basic alpha-adaptive process can be enhanced by combining it with standard h, p or hp
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adaptive schemes.
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In the first part of the paper the basis of the FIC stabilized method for advectivediffusive problems are explained. Next the algorithm for computing the streamline and
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transverse stabilization parameters via the new “alpha-adaptive” procedure is described.
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Finally, the efficiency and accuracy of the new approach are shown in two examples of
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application.
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Published in ''New Advances in Adaptive Computational Methods in Mechanics'', P. Ladeveze and J.T. Oden (Eds.), Elsevier, 1998
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DOI: 10.1016/S0922-5382(98)80017-2
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== Full document ==
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<pdf>Media:Draft_Samper_445405507_1761_con144.pdf</pdf>
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Return to Onate et al 1998a.

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