Results 21 to 30 of about 231,568 (186)

A mortar mimetic finite difference method on non-matching grids [PDF]

Numerische Mathematik, 2005
This paper deals with the mimetic finite difference (MFD) method on nonmatching multiblock grids for second-order linear elliptic equation with Dirichlet boundary conditions. The authors establish a relation between the mortar MFD method and mortar mixed finite element methods.
Berndt, Markus, Lipnikov, Konstantin, Shashkov, Mikhail, Wheeler, Mary F., Yotov, Ivan   +4 more
openaire   +2 more sources

A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS [PDF]

Mathematical Models and Methods in Applied Sciences, 2010
We investigate the connections between several recent methods for the discretization of anisotropic heterogeneous diffusion operators on general grids. We prove that the Mimetic Finite Difference scheme, the Hybrid Finite Volume scheme and the Mixed Finite Volume scheme are in fact identical up to some slight generalizations. As a consequence, some of
Droniou, Jerome, Eymard, Robert, Gallouët, Thierry, Herbin, Raphaele   +3 more
openaire   +4 more sources

Mimetic finite difference operators and higher order quadratures

GEM - International Journal on Geomathematics, 2023
AbstractMimetic finite difference operators $$\textbf{D}$$ D , $$\textbf{G}$$ G are discrete analogs of the continuous divergence (div) and gradient (grad) operators. In the discrete sense, these discrete operators satisfy the same properties as those of their continuum counterparts ...
Anand Srinivasan, Miguel Dumett, Christopher Paolini, Guillermo F. Miranda, José E. Castillo   +4 more
openaire   +2 more sources

The curved mimetic finite difference method: Allowing grids with curved faces

Journal of Computational Physics, 2023
We present a new mimetic finite difference method for diffusion problems that converges on grids with \textit{curved} (i.e., non-planar) faces. Crucially, it gives a symmetric discrete problem that uses only one discrete unknown per curved face. The principle at the core of our construction is to abandon the standard definition of local consistency of ...
Pitassi S., Ghiloni R., Petretti I., Trevisan F., Specogna R.   +4 more
openaire   +5 more sources

The mimetic finite difference method for the Landau–Lifshitz equation [PDF]

Journal of Computational Physics, 2017
The Landau-Lifshitz equation describes the dynamics of the magnetization inside ferromagnetic materials. This equation is highly nonlinear and has a non-convex constraint (the magnitude of the magnetization is constant) which pose interesting challenges in developing numerical methods.
Kim, Eugenia, Lipnikov, Konstantin
openaire   +2 more sources

Mixed Mimetic Spectral Element method applied to Darcy's problem

, 2013
We present a discretization for Darcy's problem using the recently developed Mimetic Spectral Element Method. The gist lies in the exact discrete representation of integral relations.
Gerritsma, Marc, Palha, Artur, Rebelo, Pedro Pinto   +2 more
core   +1 more source

A performance analysis of a mimetic finite difference scheme for acoustic wave propagation on GPU platforms [PDF]

, 2016
Realistic applications of numerical modeling of acoustic wave dynamics usually demand high-performance computing because of the large size of study domains and demanding accuracy requirements on simulation results. Forward modeling of seismic motion on a
Francés, Jorge, Guevara-Jordan, Juan, Otero Calviño, Beatriz, Rodriguez, Robert, Rojas, Otilio, Solano, Freysimar   +5 more
core   +3 more sources

Roadmap to Precision 3D Printing of Cellulose: Rheology‐Guided Formulation, Fidelity Assessment, and Application Horizons

Advanced Materials Technologies, EarlyView.
This critical review presents a comprehensive roadmap for the precision 3D printing of cellulose. Quantitative correlations link ink formulation and rheological properties to print fidelity and final material performance. This framework guides the development of advanced functional materials, from biomedical scaffolds to electromagnetic shielding ...
Majed Amini, Hadi Hosseini, Seyyed Alireza Hashemi, Mohammad Arjmand   +3 more
wiley   +1 more source

Numerical results for mimetic discretization of Reissner-Mindlin plate problems [PDF]

, 2012
A low-order mimetic finite difference (MFD) method for Reissner-Mindlin plate problems is considered. Together with the source problem, the free vibration and the buckling problems are investigated.
da Veiga, Lourenco Beirao, Lovadina, Carlo, Mora, David   +2 more
core   +1 more source

A Hybrid High-Order method for Leray-Lions elliptic equations on general meshes

, 2016
In this work, we develop and analyze a Hybrid High-Order (HHO) method for steady non-linear Leray-Lions problems. The proposed method has several assets, including the support for arbitrary approximation orders and general polytopal meshes.
Di Pietro, Daniele A., Droniou, Jérôme
core   +4 more sources