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Volume 4, Issue 2
Foundation of Fast Non-Linear Finite Element Solvers, Part II

Peter L. Shi

Int. J. Numer. Anal. Mod., 4 (2007), pp. 241-279.

Published online: 2007-04

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  • Abstract

The author establishes a finite element solver algorithm of optimal speed for a class of quasi-linear equations with large stiffness variations and oscillations. In particular, the algorithm can successfully handle soft inclusions of negative stiffness. Besides the convergence analysis, large number of numerical examples are presented.

  • Keywords

finite elements, non-linear solver algorithm, optimal speed.

  • AMS Subject Headings

65N30, 65J15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{IJNAM-4-241, author = {Shi , Peter L.}, title = {Foundation of Fast Non-Linear Finite Element Solvers, Part II}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2007}, volume = {4}, number = {2}, pages = {241--279}, abstract = {

The author establishes a finite element solver algorithm of optimal speed for a class of quasi-linear equations with large stiffness variations and oscillations. In particular, the algorithm can successfully handle soft inclusions of negative stiffness. Besides the convergence analysis, large number of numerical examples are presented.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/861.html} }
TY - JOUR T1 - Foundation of Fast Non-Linear Finite Element Solvers, Part II AU - Shi , Peter L. JO - International Journal of Numerical Analysis and Modeling VL - 2 SP - 241 EP - 279 PY - 2007 DA - 2007/04 SN - 4 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/861.html KW - finite elements, non-linear solver algorithm, optimal speed. AB -

The author establishes a finite element solver algorithm of optimal speed for a class of quasi-linear equations with large stiffness variations and oscillations. In particular, the algorithm can successfully handle soft inclusions of negative stiffness. Besides the convergence analysis, large number of numerical examples are presented.

Shi , Peter L.. (2007). Foundation of Fast Non-Linear Finite Element Solvers, Part II. International Journal of Numerical Analysis and Modeling. 4 (2). 241-279. doi:
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