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arXiv · 2409.19502

Numerical approximation of the insitu combustion model using the nonlinear mixed complementarity method

Julio Cesar Agustin Sangay·Alexis Rodriguez Carranza·George J. Bautista·Juan Carlos Ponte Bejarano·Jose Luis Ponte Bejarano·Eddy Cristiam Miranda Ramos
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Abstract

In this work, we will study a numerical method that allows finding an approximation of the exact solution for a in-situ combustion model using the nonlinear mixed complementary method, which is a variation of the Newtons method for solving nonlinear systems based on an implicit finite difference scheme and a nonlinear algorithm mixed complementarity, FDA-MNCP. The method has the advantage of provide a global convergence in relation to the finite difference method and method of Newton that only has local convergence. The theory is applied to model in-situ combustion, which can be rewritten in the form of mixed complementarity also we do a comparison with the FDA-NCP method

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Julio Cesar Agustin Sangay, Alexis Rodriguez Carranza, George J. Bautista, Juan Carlos Ponte Bejarano, Jose Luis Ponte Bejarano, Eddy Cristiam Miranda Ramos. 2024-09-29. Numerical approximation of the insitu combustion model using the nonlinear mixed complementarity method. https://arxiv.org/abs/2409.19502

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