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            <title xml:lang="en">Geometric arguments for proving the Discrete Maximum Principle met by conventional finite volume schemes in the context of isotropic diffusion problems</title>
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                <surname>Njifenjou</surname>
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                <title xml:lang="en">Geometric arguments for proving the Discrete Maximum Principle met by conventional finite volume schemes in the context of isotropic diffusion problems</title>
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                <term xml:lang="en">Discrete maximum principle geometric arguments diffusion problems finite volume solutions</term>
                <term xml:lang="en">Discrete maximum principle</term>
                <term xml:lang="en">geometric arguments</term>
                <term xml:lang="en">diffusion problems</term>
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              <p>The Maximum Principle is well-known as a physically important property met by solutions of elliptic partial differential equations (PDE for short) of second order governing certain diffusion phenomena. The respect of the discrete version of the Maximum Principle is required from any numerical solution of such PDE. By means of algebraic arguments one can prove that conventional finite volume solutions of second order elliptic PDE meet the discrete maximum principle. In this short communication we expose geometric arguments that one can use to get the same result. For sake of clarity of the presentation we consider a steady state flow problem in a porous medium.</p>
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