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数値解析セミナー
過去の記録 ～01/21｜次回の予定｜今後の予定 01/22～
| 開催情報 | 火曜日 16:30～18:00 数理科学研究科棟(駒場) 002号室 |
|---|---|
| 担当者 | 齊藤宣一、柏原崇人 |
| セミナーURL | https://sites.google.com/g.ecc.u-tokyo.ac.jp/utnas-bulletin-board/ |
今後の予定
2026年02月10日(火)
16:30-18:00 数理科学研究科棟(駒場) 122号室
Franz Chouly 氏 (Universidad de la República)
Finite Element Methods for the Elasto-Plastic Torsion Problem (English)
https://sites.google.com/g.ecc.u-tokyo.ac.jp/utnas-bulletin-board/
Franz Chouly 氏 (Universidad de la República)
Finite Element Methods for the Elasto-Plastic Torsion Problem (English)
[ 講演概要 ]
We will describe finite element methods for the elasto-plastic torsion problem, as a prototype of variational inequality with constraints on the gradient of the solution. This problem has been an object of study from the theoretical viewpoint since the 1970s. From the numerical analysis viewpoint, it remains difficult to obtain optimal a priori error estimates. We will present the numerical analysis and numerical results for three methods based on standard Lagrange finite elements of orden 1 or 2: a direct discretization and a Nitsche discretization of a modified variational inequality, when the source term is constant, and a penalty technique for a non constant source term. Particularly the Nitsche technique yields fully optimal a priori error bounds. This is a joint work with Patrick Hild (Université Paul Sabatier, Toulouse, France) and Tom Gustafsson (Aalto University, Finland).
[ 参考URL ]We will describe finite element methods for the elasto-plastic torsion problem, as a prototype of variational inequality with constraints on the gradient of the solution. This problem has been an object of study from the theoretical viewpoint since the 1970s. From the numerical analysis viewpoint, it remains difficult to obtain optimal a priori error estimates. We will present the numerical analysis and numerical results for three methods based on standard Lagrange finite elements of orden 1 or 2: a direct discretization and a Nitsche discretization of a modified variational inequality, when the source term is constant, and a penalty technique for a non constant source term. Particularly the Nitsche technique yields fully optimal a priori error bounds. This is a joint work with Patrick Hild (Université Paul Sabatier, Toulouse, France) and Tom Gustafsson (Aalto University, Finland).
https://sites.google.com/g.ecc.u-tokyo.ac.jp/utnas-bulletin-board/
