Study on improvement of computation performance of the conjugate projected gradient method using dual Lagrange multiplier method
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- MIYAMURA Tomoshi
- Nihon University
Bibliographic Information
- Other Title
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- 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
Abstract
<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>
Journal
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- The Proceedings of The Computational Mechanics Conference
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The Proceedings of The Computational Mechanics Conference 2023.36 (0), OS-1312-, 2023
The Japan Society of Mechanical Engineers
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Keywords
Details 詳細情報について
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- CRID
- 1390018451149639552
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- ISSN
- 24242799
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- Text Lang
- ja
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- Data Source
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- JaLC
- Crossref
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- Abstract License Flag
- Disallowed