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Jan 02, 2025
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AE 617 - Discontinuous Galerkin Finite Element Methods3 Credit Hours
Comparison and conventional and discontinuous Galerkin (DG) methods; Interior penalty method; Concept of numerical flux; DG formulation of elliptic PDEs: Weighted residual statement and overview of numerical fluxes; Relation between DG and interior penalty methods; Parabolic PDEs: DG formulation and keys to the stability of the method, numerical fluxes; Hyperbolic PDEs: Systems of conservation laws and Rankine-Hugoniot jump conditions; Riemann solutions and numerical fluxes for linear and nonlinear hyperbolic PDEs; Transmitting boundary conditions; Spacetime discontinuous Galerkin methods; Object-oriented design and implementation for DG methods.
Cross-listed: (Same as: Mechanical Engineering 617.)
(DE) Prerequisite(s): Numerical analysis, differential equations, and finite element analysis, or consent of instructor.
Recommended Background: Numerical analysis, differential equations, and finite element analysis.
Registration Restriction(s): Minimum student level – graduate.
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