@Article{NMTMA-4-3, author = {}, title = {Discrete Maximum Principle and a Delaunay-Type Mesh Condition for Linear Finite Element Approximations of Two-Dimensional Anisotropic Diffusion Problems}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2011}, volume = {4}, number = {3}, pages = {319--334}, abstract = {
A Delaunay-type mesh condition is developed for a linear finite element approximation of two-dimensional anisotropic diffusion problems to satisfy a discrete maximum principle. The condition is weaker than the existing anisotropic non-obtuse angle condition and reduces to the well known Delaunay condition for the special case with the identity diffusion matrix. Numerical results are presented to verify the theoretical findings.
}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2011.m1024}, url = {https://global-sci.com/article/90699/discrete-maximum-principle-and-a-delaunay-type-mesh-condition-for-linear-finite-element-approximations-of-two-dimensional-anisotropic-diffusion-problems} }