Robust sparse low rank approximation of multi-parametric partial differential equations (B02)

多参数偏微分方程的鲁棒稀疏低秩逼近（B02）

• 批准号: 504290421
• 金额: --
• 依托单位: Institut für Geometrie und Praktische Mathematik (IGPM)
• 依托单位国家: 德国
• 项目类别: Collaborative Research Centres
• 资助国家: 德国
• 项目状态: 未结题
• 来源: https://gepris.dfg.de/gepris/projekt/504290421?language=en
• 关键词: Robust; sparse; low; rank; approximation

This project aims at numerical methods for parameter-dependent elliptic PDEs based on polynomial expansions in the parameter domain that retain their efficiency in challenging cases, such as high-contrast coefficients. To this end, we use a new type of low rank approximation for problems with infinitely many parameters and parameter-dependent approximate inversesprovided by the new concept of tensor coefficient hierarchical matrices.

该项目旨在基于参数域中的多项式展开的参数依赖椭圆偏微分方程的数值方法，在具有挑战性的情况下，如高对比度系数，保持其效率。为此，我们使用一种新的类型的低秩近似的无限多个参数和参数依赖的近似逆张量系数层次矩阵的新概念提供的问题。