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The mixed SBFEM does not have volumetric issues in the presence of incompressibility and it can pass the inf sup stability conditions without requiring any mesh-dependent and stabilization parameters.
The design of the matrix of stabilization parameters is based on the identification of the stability deficiencies of the standard Galerkin method applied to these two problems.
68 (1988) 83 95] except for the definitions of the stabilization parameters.
The important point is the design of the matrix of stabilization parameters that the method has.
The stabilization parameters are shown to be functions of the time-step size.
Next we study the conditions on the stabilization parameters to circumvent the global oscillations due to the convective term.
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And fourth, we propose an appropriate choice of the stabilization parameter to guarantee stability and accuracy for the proposed method.
The rest of the paper is organized as follows: In Section 2, we first propose the novel stabilized method which uses only one stabilization parameter.
It needs only one stabilization parameter but is still stable.
A key feature of the method is that there is no stabilization parameter chosen empirically.
The same stabilization parameter τ τSUPG = τPSPG) is used in the present method.
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