Abstract
AbstractModifications to the standard finite element mass matrix are considered with the aim of preserving the positivity of the discrete solution. The approach is used in connection with calculating the initial time derivative values for parabolic equations and in connection with non‐linear Petrov–Galerkin schemes for hyperbolic equations in one space dimension. The extension of the ideas to unstructured meshes in two and three space dimensions is indicated. Copyright © 2001 John Wiley & Sons, Ltd.
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