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典型文献
CONVERGENCE RESULTS FOR NON-OVERLAP SCHWARZ WAVEFORM RELAXATION ALGORITHM WITH CHANGING TRANSMISSION CONDITIONS
文献摘要:
In this paper,we establish a new algorithm to the non-overlapping Schwarz domain decomposition methods with changing transmission conditions for solving one di-mensional advection reaction diffusion problem.More precisely,we first describe the new algorithm and prove the convergence results under several natural assumptions on the se-quences of parameters which determine the transmission conditions.Then we give a simple method to estimate the new value of parameters in each iteration.The interesting advantage of our method is that one may update the better parameters in each iteration to save the computational cost for optimizing the parameters after many steps.Finally some numerical experiments are performed to show the behavior of the convergence rate for the new method.
文献关键词:
作者姓名:
Minh-Phuong TRAN;Thanh-Nhan NGUYEN;Phuoc-Toan HUYNH;Nhu-Binh LY;Minh-Dang NGUYEN;Quoc-Anh HO
作者机构:
Applied Analysis Research Group,Faculty of Mathematics and Statistics,Ton Duc Thang University,Ho Chi Minh city,Vietnam;Department of Mathematics,Ho Chi Minh City University of Education,Ho Chi Minh City,Vietnam;Faculty of Mathematics and Statistics,Ton Duc Thang University,Ho Chi Minh city,Vietnam
引用格式:
[1]Minh-Phuong TRAN;Thanh-Nhan NGUYEN;Phuoc-Toan HUYNH;Nhu-Binh LY;Minh-Dang NGUYEN;Quoc-Anh HO-.CONVERGENCE RESULTS FOR NON-OVERLAP SCHWARZ WAVEFORM RELAXATION ALGORITHM WITH CHANGING TRANSMISSION CONDITIONS)[J].数学物理学报(英文版),2022(01):105-126
A类:
CONVERGENCE,OVERLAP,SCHWARZ,WAVEFORM,RELAXATION,ALGORITHM,CHANGING,TRANSMISSION,CONDITIONS
B类:
RESULTS,NON,WITH,In,this,paper,we,establish,new,algorithm,overlapping,Schwarz,domain,decomposition,methods,changing,transmission,conditions,solving,one,mensional,advection,reaction,diffusion,problem,More,precisely,first,describe,prove,convergence,results,under,several,natural,assumptions,quences,parameters,which,determine,Then,give,simple,estimate,value,each,iteration,interesting,advantage,our,that,may,update,better,save,computational,cost,optimizing,after,many,steps,Finally,some,numerical,experiments,are,performed,show,behavior,rate
AB值:
0.568454
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