This paper reviews recent developments in Arbitrary Lagrangian Eulerian (ALE) methods for
modeling high speed compressible multimaterial flows in complex geometry on general …

This paper reviews and extends the theory and application of mimetic finite difference
methods for the solution of diffusion problems in strongly heterogeneous anisotropic …

This book describes the theoretical and computational aspects of the mimetic finite
difference method for a wide class of multidimensional elliptic problems, which includes …

The mimetic finite difference (MFD) method mimics fundamental properties of mathematical
and physical systems including conservation laws, symmetry and positivity of solutions …

We discuss the application of Virtual Elements to linear plate bending problems, in the
Kirchhoff–Love formulation. As we shall see, in the Virtual Element environment the …

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 …

We present a new reconnection-based arbitrary-Lagrangian–Eulerian (ALE) method. The
main elements in a standard ALE simulation are an explicit Lagrangian phase in which the …

Generalized barycentric coordinates such as Wachspress and mean value coordinates have
been used in polygonal and polyhedral finite element methods. Recently, mimetic finite …

Mimetic finite differences for elliptic problems Page 1 ESAIM: M2AN 43 (2009) 277–295
ESAIM: Mathematical Modelling and Numerical Analysis DOI: 10.1051/m2an:2008046 www.esaim-m2an.org …

We propose a new pressure-based structure-preserving (SP) and quasi asymptotic
preserving (AP) staggered semi-implicit finite volume scheme for the unified first order …