Plenary and Semi-Plenary Lectures
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| Title: |
| Advances in Sparse Solvers |
| Lecturer: |
| Mingwu Yuan |
| Abstract: |
A cell storage scheme in the LDLT decomposition of sparse matrix was developed for solving symmetric positive-definite linear equations. The efficiency was promoted about 1 to 2 order. The solver we developed is the one of the top solvers in the world.
The procedure can be incorporated to generalized eigenvalue problem. Three different direct and iterative algorithms were discussed. Some convergence criteria are improved. This idea is also used for LDU decomposition for asymmetric equations. The efficiency is raised significantly. |
 Prof. Mingwu Yuan was born in 1939. He was graduated in solid mechanics of Dept. of Mathematics and Mechanics of Peking University, China in 1960. And he was post-graduated in aeroelasticity of the same department in 1964. At that time there is no degree system in China. He visited UC Berkeley as an exchange scholar between the two universities from 1980-1982. During this period he worked for Prof. Edward L. Wilson.
E. Wilson and Mingwu Yuan proposed the Ritz-vector algorithm for dynamic analysis by direct superposition in 1982. After he returned to China, he and his group developed a software package SAP84 and dominated the FEM software market in China. A huge application of this software was happened in this country. About 1000 users are using this code nationwide for their engineering design in the 20 years. Academically he worked on the generalized eigenvalue problem, mixed element for shear wall structure, drilling degree freedom of membrane element, pseudo arc length method, the sparse solver and generalized conforming elements based on analytical trail functions. About 130 papers were published in domestic and international journals.
Now he is the president of Chinese Association of Computational Mechanics, Fellow of IACM, general council member of IACM and council member of APACM. He accepted the T. H. H. Pian Medal in ICES’2K, LA, USA, July 2000. He also received several awards from Chinese government and Peking University.
He is the members of the editor board of the Journals: Computer Modeling in Science and Engineering, International Journal of Computational Methods, Structural Engineering and Mechanics, Chinese Journal of Computational Mechanics and Chinese Journal of Engineering Mechanics. |
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