Enforcing non-negativity constraint and maximum principles for diffusion with decay on general computational grids

  title={Enforcing non-negativity constraint and maximum principles for diffusion with decay on general computational grids},
  author={Harsha Nagarajan and K. B. Nakshatrala},
Abstract. In this paper, we consider anisotropic diffusion with decay, which takes the form α(x)c(x) − div[D(x)grad[c(x)]] = f(x) with decay coefficient α(x) ≥ 0, and diffusivity coefficient D(x) to be a second-order symmetric and positive definite tensor. It is well-known that this particular equation is a second-order elliptic equation, and satisfies a maximum principle under certain regularity assumptions. However, the finite element implementation of the classical Galerkin formulation for… CONTINUE READING
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