Applied Mathematics and Plasma Physics

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The project mission consists of developing mimetic discretizations of partial differential equations which mimic most important properties of underlying physical and mathematical models such as conservation laws and geometrical symmetries of the solution.

This new class of numerical methods enable us to gain greater insights into many physical phenomenena, and solve new problems of interest to DOE mission, and effectively use the inherent power of the current and future generations of scalable parallel supercomputers.

- Mimetic Finite Differences for Modeling Stokes Flow on Polygonal Meshes
- High-order Mimetic Finite Difference Methods on Arbitrary Meshes
- A Multilevel Multiscale Mimetic Method for Two-Phase Flows in Porous Media
- New Monotone Schemes for Diffusion Problems on Unstructured Meshes
- Node Reconnection Algorithm for Mimetic Finite Difference Discretization of Elliptic Equations

Rao Garimella | rao@ cut.this.part. lanl.gov | Los Alamos National Laboratory |

Shengtai Li | sli@ cut.this.part. lanl.gov | Los Alamos National Laboratory |

Konstantin Lipnikov | lipnikov@ cut.this.part. lanl.gov | Los Alamos National Laboratory |

Robert Lowrie | lowrie@ cut.this.part. lanl.gov | Los Alamos National Laboratory |

Len Margolin | len@ cut.this.part. lanl.gov | Los Alamos National Laboratory |

Jim Morel | jim@ cut.this.part. lanl.gov | Los Alamos National Laboratory |

Burton Wendroff | bbw@ cut.this.part. lanl.gov | Los Alamos National Laboratory |