Shape Optimization for Mitigating Coastal Erosion

减轻海岸侵蚀的形状优化

• 批准号: 423760857
• 负责人: Professor Dr. Volker Schulz
• 金额: --
• 依托单位: Arbeitsgruppe Optimierung bei partiellen Differentialgleichungen
• 依托单位国家: 德国
• 项目类别: Priority Programmes
• 财政年份: 2019
• 资助国家: 德国
• 起止时间: 2018-12-31 至 2022-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/423760857?language=en
• 关键词: Shape; Optimization; Mitigating; Coastal; Erosion

Coastal erosion is a natural phenomenon, exacerbated by global warming, which has significant economic impact on countries with a large coastal part, like Senegal.This project aims at establishing a theoretical and numerical framework for the robust treat- ment of shape and topology optimization problems for the mitigation of coastal erosion. The problem class of shape and topology optimization problems in the context of coastal erosion is new and thus poses particular challenges: typical models for tidal effects rely on asymp- totic analysis often geared towards simulation but not towards optimization, and the proper mathematical formulation of operational optimization goals is open.Thus, this project is of fundamental nature and will provide first insights, onto which further exploration steps can be built on. Therefore, we aim at the following major project goals:- Analysis of proper system models. - Proper formulation of optimization objectives. - Study of existence of solutions and well-posedness. - Formulation of problem specific algorithmic approaches.- Robustification of optimization strategies. - Characterization and computation of conceptual and specific optimal solutions.

海岸侵蚀是一种自然现象，全球变暖加剧了海岸侵蚀，对塞内加尔等沿海国家的经济产生了重大影响，本项目旨在建立一个理论和数值框架，用于解决海岸侵蚀的形状和拓扑优化问题。海岸侵蚀背景下的形状和拓扑优化问题是一个新的问题，因此提出了特殊的挑战：潮汐效应的典型模型依赖于通常面向模拟而不是面向优化的渐近分析，并且操作优化目标的适当数学公式是开放的。因此，该项目具有基础性质并且将提供第一见解，因此，我们的研究计划主要目标如下：-分析合适的系统模型。- 正确制定优化目标。- 解的存在性与适定性的研究。- 制定具体问题的算法方法。优化策略的鲁棒化。- 概念和具体的最佳解决方案的表征和计算。