標(biāo)題：Adaptive AMG for Time-Space Diffusion Equations
報(bào)告時(shí)間：2024年06月01日（星期六）19:30-20:15
報(bào)告地點(diǎn)：線(xiàn)上騰訊會(huì)議（會(huì)議ID:795335883 密碼:5512)
主講人：岳孝強(qiáng)
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)介：
In this talk, we construct a fully discrete scheme of the linear FE method in both temporal and spatial directions, derive many characterizations on the coefficient matrix and numerically verify that the fully FE approximation possesses the saturation error order under L2 norm. We present an estimation like $1+\mathcal{O}(\tau^\alpha h^{-2\beta})$ on the condition number of the coefficient matrix. Finally, we develop and analyze an adaptive algebraic multigrid (AMG) method with low algorithmic complexity. We reveal a reference formula to measure the strength-of-connection tolerance which severely affect the robustness of AMG methods in handling fractional diffusion equations, and illustrate the well robustness and high efficiency of the proposed algorithm compared with the classical AMG, conjugate gradient and Jacobi iterative methods.
主講人簡(jiǎn)介：
岳孝強(qiáng)，湘潭大學(xué)教授，目前主要從事偏微分方程數(shù)值計(jì)算以及并行軟件研發(fā)等研究工作。在SIAM J. Sci. Comput.、J. Sci. Comput.、Communications in Computational Physics、Computers & Mathematics with Applications、Computers & Fluids等期刊上已發(fā)表學(xué)術(shù)論文30余篇。主持國(guó)防基礎(chǔ)科研核科學(xué)挑戰(zhàn)專(zhuān)題、國(guó)家自然科學(xué)基金青年項(xiàng)目與湖南省自然科學(xué)基金青年項(xiàng)目等?，F(xiàn)為FASP、JXPAMG、和ParaDiag軟件包的主要研發(fā)成員，擔(dān)任美國(guó)數(shù)學(xué)學(xué)會(huì)《數(shù)學(xué)評(píng)論》評(píng)論員。
