1Partitioning of two coupled domains23456(A mixed interpolation!)Mixed formulations can lead to mixed results!789101112The localized modeling, as in Hamilton’s canonical equations, also increases the interface unknowns from N to 2N multipliers. Now the question is: Is the theory of localized modeling just an intellectual pleasure or does it offer also a practical facility? Localized Lagrange Multipliers13141516Example: Heterogeneities of Partitioned Plane-Stress Structure— joint elements in horizontal directionMaximum Difference of Elastic Modulus is 51017Residuals Comparisonred ----- no scale black -----equilibrium residual comparison constraint residual comparison18no scaleLagrange Multiplier Time
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