Numerical Analysis: methods for solving partial differential equations, Discontinuous Galerkin (DG) methods, Error analysis and development of hp adaptive software for DG method, large scale computings
Porous media: flow and transport, multiphase multicomponent flow, poroelasticity, modeling at different scales: field, Darcy, pore-scale..
Mathematical modeling of biological processes: blood flow, congenital heart defect, data analytics for ECGs, intestinal edema formation, muscle contractility, cell motility, inflammatory response
CFD: Stokes flow, Navier-Stokes flow
Multiphysics problems: coupled Navier-Stokes and Darcy, Stokes and Darcy
and coupled with transport
Others: viscoelastic fluids and solids, acoustic and elastic waves
Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation.
SIAM 2008. ISBN-10: 089871656X.
Available at SIAM. Part of
SIAM Bestsellers. Download errata here.
Computational Optimization and Modeling of Porous Media in CAAM
COMP-M : research group centered around porous media.
Young Summer Math Days for high-school students
Summer Math Days: Come and spend a few days learning about interesting Mathematics in everyday life!
Topic course in numerical differential equations for graduate students
meets weekly (every Wednesday from 10am to 10:50am in DH 3076).
Finite Element Rodeo Conferences
Annual conference for finite element community.
Riviere's Google Scholar entry
Riviere's Microsoft Academic entry
Computational & Applied Mathematics Department
6100 Main Street, MS-134
Houston, TX 77005-1892
Tel: (713) 348-4094
Email: riviere at caam dot rice dot edu