TY - BOOK ID - 699516 TI - The Mimetic Finite Difference Method for Elliptic Problems AU - Beirao da Veiga, Lourenco. AU - Lipnikov, Konstantin. AU - Manzini, Gianmarco. PY - 2014 SN - 3319026631 3319026623 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Differential equations, Partial. KW - Partial differential equations KW - Computer science KW - Differential equations, partial. KW - Engineering mathematics. KW - Computational Mathematics and Numerical Analysis. KW - Mathematical Applications in the Physical Sciences. KW - Partial Differential Equations. KW - Mathematical and Computational Engineering. KW - Mathematics. KW - Engineering KW - Engineering analysis KW - Mathematical analysis KW - Computer mathematics KW - Discrete mathematics KW - Electronic data processing KW - Mathematics KW - Computer mathematics. KW - Mathematical physics. KW - Partial differential equations. KW - Applied mathematics. KW - Physical mathematics KW - Physics UR - https://www.unicat.be/uniCat?func=search&query=sysid:699516 AB - 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. ER -