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Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions - MaRDI portal

Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions (Q1770233)

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scientific article; zbMATH DE number 2155986
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Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions
scientific article; zbMATH DE number 2155986

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    Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions (English)
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    14 April 2005
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    The authors present several variants of the maximum principles for elliptic problems and their discrete counterparts for (scalar) second-order nonlinear elliptic problems with mixed boundary conditions. The problems considered are numerically solved by continuous piecewise linear finite element approximations build on simplicial meshes. Some examples are also presented.
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    maximum principle
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    numerical examples
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    second-order nonlinear elliptic equations
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    finite element
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