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We present Finite Volume methods for diffusion equations on generic meshes,that received important coverage in the last decade or so. After introducingthe main ideas and construction principles of the methods, we review someliterature results, focusing on two important properties of schemes (discreteversions of well-known properties of the continuous equation): coercivity andminimum-maximum principles. Coercivity ensures the stability of the method aswell as its convergence under assumptions compatible with real-worldapplications, whereas minimum-maximum principles are crucial in case of stronganisotropy to obtain physically meaningful approximate solutions.

Finite volume schemes for diffusion equations: introduction to and review of modern methods