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瑞典 Umeå University 计算数学 全奖PhD position
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瑞典 umeå university 计算数学 全奖phd position 申请地址：https://www.umu.se/en/work-with- ... ropagation-_504751/ 职位描述：phd position in computational methods for wave propagation employee职位，享受职工工资和休假待遇 地址： the department of mathematics and mathematical statistics of umeå university 截止日期：apply latest 2022/05/31. (有问题欢迎联系 siyang.wang@umu.se) project description and tasks there are many challenges to simulate wave propagation in realistic models. for example, waves propagate for many periods in a domain much larger than the wavelength, thus requiring scalable high-order methods that are suitable for implementation on modern parallel computers. complex geometry at material interfaces and boundaries imposes difficulties for generating high-quality meshes. heterogeneous material properties with discontinuities and multiscale features require special techniques to achieve high-order accuracy. as an example, the elastic wave equation models seismic waves generated by earthquakes that propagate through the earth layers and on the earth surface. the surface waves give rise to ground shaking and can cause enormous damages to the surrounding communities. to mitigate such seismic hazards, reliable simulation of wave propagation is a vital tool. the governing equation in this example is expressed as a system of hyperbolic partial differential equations. in this project, we will develop, analyze, and implement fast and reliable numerical methods for solving wave propagation problems. much attention will be placed on the numerical analysis perspective, such as stability analysis, error estimates, conditioning, and time-step restriction. the project will be carried out in collaboration with the computational mathematics group at umeå university and our external collaborators. |
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2楼2022-05-10 03:56:57
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Project description and tasks There are many challenges to simulate wave propagation in realistic models. For example, waves propagate for many periods in a domain much larger than the wavelength, thus requiring scalable high-order methods that are suitable for implementation on modern parallel computers. Complex geometry at material interfaces and boundaries imposes difficulties for generating high-quality meshes. Heterogeneous material properties with discontinuities and multiscale features require special techniques to achieve high-order accuracy. As an example, the elastic wave equation models seismic waves generated by earthquakes that propagate through the Earth layers and on the Earth surface. The surface waves give rise to ground shaking and can cause enormous damages to the surrounding communities. To mitigate such seismic hazards, reliable simulation of wave propagation is a vital tool. The governing equation in this example is expressed as a system of hyperbolic partial differential equations. In this project, we will develop, analyze, and implement fast and reliable numerical methods for solving wave propagation problems. Much attention will be placed on the numerical analysis perspective, such as stability analysis, error estimates, conditioning, and time-step restriction. The project will be carried out in collaboration with the computational mathematics group at Umeå University and our external collaborators. |
3楼2022-05-10 03:58:11