Mimetic finite difference methods for diffusion equations
This paper reviews and extends the theory and application of mimetic finite difference
methods for the solution of diffusion problems in strongly heterogeneous anisotropic …
methods for the solution of diffusion problems in strongly heterogeneous anisotropic …
[KSIĄŻKA][B] The mimetic finite difference method for elliptic problems
This book describes the theoretical and computational aspects of the mimetic finite
difference method for a wide class of multidimensional elliptic problems, which includes …
difference method for a wide class of multidimensional elliptic problems, which includes …
Mimetic finite difference method
The mimetic finite difference (MFD) method mimics fundamental properties of mathematical
and physical systems including conservation laws, symmetry and positivity of solutions …
and physical systems including conservation laws, symmetry and positivity of solutions …
A family of mimetic finite difference methods on polygonal and polyhedral meshes
A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL
MESHES | Mathematical Models and Methods in Applied Sciences World Scientific Search …
MESHES | Mathematical Models and Methods in Applied Sciences World Scientific Search …
The Design and Implementation of hypre, a Library of Parallel High Performance Preconditioners
The hypre software library provides high performance preconditioners and solvers for the
solution of large, sparse linear systems on massively parallel computers. One of its attractive …
solution of large, sparse linear systems on massively parallel computers. One of its attractive …
Convergence of the mimetic finite difference method for diffusion problems on polyhedral meshes
Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral
Meshes Page 1 SIAM J. NUMER. ANAL. c 2005 Society for Industrial and Applied Mathematics …
Meshes Page 1 SIAM J. NUMER. ANAL. c 2005 Society for Industrial and Applied Mathematics …
Mimetic discretizations for Maxwell's equations
JM Hyman, M Shashkov - Journal of Computational Physics, 1999 - Elsevier
We have constructed reliable finite difference methods for approximating the solution to
Maxwell's equations using accurate discrete analogs of differential operators that satisfy the …
Maxwell's equations using accurate discrete analogs of differential operators that satisfy the …
[KSIĄŻKA][B] Mimetic discretization methods
JE Castillo, GF Miranda - 2013 - books.google.com
To help solve physical and engineering problems, mimetic or compatible algebraic
discretization methods employ discrete constructs to mimic the continuous identities and …
discretization methods employ discrete constructs to mimic the continuous identities and …
Arbitrary-order nodal mimetic discretizations of elliptic problems on polygonal meshes
We develop and analyze a new family of mimetic methods on unstructured polygonal
meshes for the diffusion problem in primal form. These methods are derived from the local …
meshes for the diffusion problem in primal form. These methods are derived from the local …
A cell-centered diffusion scheme on two-dimensional unstructured meshes
We propose a new cell-centered diffusion scheme on unstructured meshes. The main
feature of this scheme lies in the introduction of two normal fluxes and two temperatures on …
feature of this scheme lies in the introduction of two normal fluxes and two temperatures on …