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Convergence criteria for systems of nonlinear elliptic boundary value partial differential equations - MaRDI portal

Convergence criteria for systems of nonlinear elliptic boundary value partial differential equations (Q1122954)

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scientific article; zbMATH DE number 4108084
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Convergence criteria for systems of nonlinear elliptic boundary value partial differential equations
scientific article; zbMATH DE number 4108084

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    Convergence criteria for systems of nonlinear elliptic boundary value partial differential equations (English)
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    1989
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    The author studies the effect of nonlinearity on the convergence of an iterative sequence of functions to an approximate solution. A set of conditions for convergence is found using a fixed point algorithm which iteratively solves one linearized elliptic partial differential equation at a time. Experimental computations support the theoretical conditions.
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    numerical examples
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    effect of nonlinearity
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    convergence
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    fixed point algorithm
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