Upcoming
第127回
- 日時 Time
-
2025年5月22日（木）10:30〜11:30
May 22nd, 10:30-11:30 (JST)
- 場所 Place
-
自然科学５号館数学棟４階コロキウム
NST Hall 5, Math building, 4th floor, Colloqium room
Zoom registration: https://forms.gle/dgeHysBjYkXcTrBh9
- 講演者 Speaker
-
JIANG Yu (School of Mathematics, Shanghai University of Finance and
Economics)
- タイトル Title
-
Recovery in vivo viscoelasticity from elastography measured data
- 概要 Abstract
-
This talk will briefly describe how to solve the inverse problem of
recovering in vivo viscoelasticity from elastography (magnetic resonance
elastography, ultrasound elastography)measurements. To solve it
robustly, one need to have a proper partial differential equation model
to describe the wave motion inside living body. And based on this PDE
model and given interior measurements, theoretical and numerical inverse
analyzes need to be performed. As the PDE model, we start with a dynamic
viscoelastic model and several simplified models are given. For
inversion analysis, we give several practical numerical inversion
methods to identify viscoelasticity, such as regularized numerical
differentiation method etc.
第126回
- 日時 Time
-
2025年4月7日（月）16:30〜18:00
- 場所 Place
-
自然科学５号館数学棟４階コロキウム
NST Hall 5, Math building, 4th floor, Colloqium room
- 講演者 Speaker
-
Björn Stinner (The University of Warwick)
- タイトル Title
-
Finite element schemes and mesh smoothing for geometric evolution
problems
- 概要 Abstract
-
Geometric evolutions can arise as simple models or fundamental building
blocks in various applications with moving boundaries and time-dependent
domains, such as grain boundaries in materials or deforming cell
boundaries. Mesh-based methods require adaptation and smoothing,
particularly in the case of strong deformations. We consider finite
element schemes based on classical approaches for geometric evolution
equations but augmented with the gradient of the Dirichlet energy or a
variant of it, which is known to produce a tangential mesh movement
beneficial for the mesh quality. We focus on the one-dimensional case,
where convergence of semi-discrete schemes can be proved, and discuss
two cases. For networks forming triple junctions, it is desirable to
keep the impact any additional, mesh smoothing terms on the geometric
evolution as small as possible, which can be achieved with a
perturbation approach. Regarding the elastic flow of curves, the
Dirichlet energy can serve as a replacement of the usual penalty in
terms of the length functional in that, modulo rescaling, it yields the
same minimisers in the long run.
Information
セミナーの趣旨
2013年4月，金沢大学の偏微分方程式研究者有志が集まり本セミナーを企画しました。各回の話題は，偏微分方程式の理論的な側面を中心に，セミナー幹事の関心に従い大らかに選択しています。参加者がセミナーを十分楽しみ，勉強し，新しい発見を得られるように，各回の最初の20分から30分程度，講演者の方にはその話題への導入となるような解説をお願いしています。ご関心がある方はどなたでもご自由にご参加ください。
どうぞよろしくお願いいたします。
セミナー幹事 Organizers
Patrick van Meurs・大塚 浩史・小俣 正朗・蚊戸 宣幸・木村 正人・榊原 航也・Thomas Geert De Jong・野津 裕史・橋本 伊都子・Norbert Pozar・Julius Fergy Tiongson Rabago
リンク Links
アクセス Access・数学コース Math course・計算数理プログラム Applied Math program
お問い合わせ Contact
Norbert Pozar ・npozar (at) se.kanazawa-u.ac.jp
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