PRFBPerfect Reconstruction Filter Bank
PRFBProspective Research for Brussels (Belgium)
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In Figure 15, we present the solutions obtained with the SUPG, GLS, SGS, and PRFB methods when [epsilon] = [10.sup.-4], ft = (0.15,0.1), and f = 0 for various values of reaction (<r = 10, [10.sup.2], [10.sup.3]).
The plots show that the PRFB solution captures the characteristic features of the exact solution even on coarse meshes.
We observe that the classical SUPG method is very similar to the GLS method, whereas the PRFB method has a stabilization effect similar to LCB for one-dimensional convection-diffusion-reaction problems.
The PRFB and LCB methods are able to capture both the internal and boundary layers and produce approximations consistent with the physical solution while the approximations generated by the SUPG and GLS methods exhibit spurious oscillations in the reaction-dominated regime.