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A Crank-Nicolson Scheme for the Dirichlet-to-Neumann Semigroup
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نویسنده
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ali ahmad r. ,el arwadi t. ,chrayteh h. ,sac-epée j.-m.
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منبع
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journal of applied mathematics - 2015 - دوره : 2015 - شماره : 0
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چکیده
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The aim of this work is to study a semidiscrete crank-nicolson type scheme in order to approximate numerically the dirichlet-to-neumann semigroup. we construct an approximating family of operators for the dirichlet-to-neumann semigroup,which satisfies the assumptions of chernoff's product formula,and consequently the crank-nicolson scheme converges to the exact solution. finally,we write a p 1 finite element scheme for the problem,and we illustrate this convergence by means of a freefem++ implementation. © 2015 rola ali ahmad et al.
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آدرس
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department of mathematics,faculty of science,beirut arab university,p.o. box 11-5020, Lebanon, department of mathematics,faculty of science,beirut arab university,p.o. box 11-5020, Lebanon, department of mathematics,faculty of science,beirut arab university,p.o. box 11-5020, Lebanon, institut élie cartan de lorraine,umr 7502,université de lorraine, France
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Authors
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