Tuesday, June 17

10:30 AM-12:30 PM
Potters Room

MS18
Finite Volume and Mixed Finite Element Methods in Geoscience Applications

Geophysical applications require the development of numerical methods that are conservative, compute fluxes accurately, work on general meshes, and on equations with discontinuous tensor coefficients. Finite volume methods are conservative and work for discontinuous coefficients, but are difficult to generalize for distorted meshes and tensor coefficients. Mixed finite element methods are conservative and work for tensor coefficients, but are not well defined on distorted meshes. The speakers will discuss theoretical and computational aspects of FV and MFE methods.

Organizer: Ilya D. Mishev
Duke University

10:30 Mixed Finite Element Method for Flow in Multiblock Domains with Non-Matching Grids

Ivan Yotov, Todd Arbogast, and Mary F. Wheeler, University of Texas, Austin

11:00 Finite Volume Methods

Raytcho D. Lazarov, Texas A&M University

11:30 Control-Volume Mixed Finite Element Methods for Subsurface Flow Equations

Thomas F. Russell, University of Colorado, Denver; Zhiqiang Cai, Purdue University; Jim E. Jones, ICASE; and Stephen F. McCormick, University of Colorado, Boulder

12:00 Mixed Finite Volume Methods

Jean-Marie Thomas, IPRA Avenue de L'Université, France

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