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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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The Mimetic Finite Difference Method for Elliptic Problems (Paperback, Softcover reprint of the original 1st ed. 2014)
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The Mimetic Finite Difference Method for Elliptic Problems (Paperback, Softcover reprint of the original 1st ed. 2014)
Series: MS&A, 11
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This book describes the theoretical and computational aspects of
the mimetic finite difference method for a wide class of
multidimensional elliptic problems, which includes diffusion,
advection-diffusion, Stokes, elasticity, magnetostatics and plate
bending problems. The modern mimetic discretization technology
developed in part by the Authors allows one to solve these
equations on unstructured polygonal, polyhedral and generalized
polyhedral meshes. The book provides a practical guide for those
scientists and engineers that are interested in the computational
properties of the mimetic finite difference method such as the
accuracy, stability, robustness, and efficiency. Many examples are
provided to help the reader to understand and implement this
method. This monograph also provides the essential background
material and describes basic mathematical tools required to develop
further the mimetic discretization technology and to extend it to
various applications.
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