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Comparative Analysis of Methods for Regularizing an Initial Boundary Value Problem for the Helmholtz Equation
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نویسنده
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kabanikhin s.i. ,shishlenin m.a. ,nurseitov d.b. ,nurseitova a.t. ,kasenov s.e.
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منبع
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journal of applied mathematics - 2014 - دوره : 2014 - شماره : 0
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چکیده
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We consider an ill-posed initial boundary value problem for the helmholtz equation. this problem is reduced to the inverse continuation problem for the helmholtz equation. we prove the well-posedness of the direct problem and obtain a stability estimate of its solution. we solve numerically the inverse problem using the tikhonov regularization,godunov approach,and the landweber iteration. comparative analysis of these methods is presented. © 2014 sergey igorevich kabanikhin et al.
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آدرس
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institute of computational mathematics and mathematical geophysics,akademika lavrentjeva,no. 6,novosibirsk,russian federation,novosibirsk state university,pirogova street 2, Russian Federation, novosibirsk state university,pirogova street 2,novosibirsk,russian federation,sobolev institute of mathematics,4 academy koptyug avenue, Russian Federation, national open research laboratory of information and space technologies,kazakh national technical university after k.i. satpaev,seifullin street 122/22, Kazakhstan, kazakh national pedagogical university abai,13 dostyk avenue, Kazakhstan, national open research laboratory of information and space technologies,kazakh national technical university after k.i. satpaev,seifullin street 122/22, Kazakhstan
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Authors
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