🔶✳️🔶

🌐 #معرفی سخنرانان کارگاه بین‌المللی تخصصی توابع پایه شعاعی

❇️ سخنران : Elisabeth Larson

✴️ موضوع سخنرانی :

Radial basis function partition of unity methods for PDEs

💠 #چکیده :

Radial basis function (RBF) approximation methods were introduced in the context of scattered data interpolation. They have attractive theoretical properties such as guaranteed non-singularity of the interpolation matrix for multivariate approximations. When solving partial differential equations the scattered data property is instead used for dealing with non-trivial geometries without the need for a mesh. Using global approximation with globally supported RBFs leads to dense and ill-conditioned linear systems. The current trend is therefore to used localized approximations. The two main examples are RBF-generated finite difference methods (RBF-FD) and radial basis function partition of unity methods (RBF-PUM) In RBF-PUM, local RBF approximation on overlapping patches covering the computational domain are blended together using partition of unity weight functions. In this presentation, we introduce RBF-PUM, we show how the stability of RBF-PUM is improved by oversampling, we introduce an adaptive RBF-PUM scheme, and show results for application problems solved with RBF-PUM.


📝 ثبت نام (رایگان) از طریق لینک زیر:
https://wecademy.ir/radial-basis/

📢کانال تلگرام :
@WeCademy

⭕️ برای کسب اطلاعات بیشتر، به سایت یا کانال تلگرامی درج شده، مراجعه نمایید.