双対Lagrange乗数法による共役射影勾配法の高速化に関する検討

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  • Study on improvement of computation performance of the conjugate projected gradient method using dual Lagrange multiplier method

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<p>The conjugate projected gradient (CPG) method is an iterative solver for a linear problem with linear multipoint constraints. In the present study, a formulation of the projection procedure is rewritten for the dual Lagrange method, which is used in a mortar finite element method. A block matrix with respect to a slave surface of the constraint matrix, CT , becomes a diagonal matrix due to the biorthogonal shape functions, which is used in the dual Lagrange multiplier method. By utilizing this property, the projection may be conducted without solving a linear problem for a coefficient matrix, CTC .</p>

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