Academic Catalog

IAM770 SPECIAL TOPICS: DISCONTINUOUS GALERKIN METHODS

Course Code: 9700770
METU Credit (Theoretical-Laboratory hours/week): 3(3-0)
ECTS Credit: 8.0
Department: Institute Of Applied Mathematics
Language of Instruction: English
Level of Study: Graduate
Course Coordinator:
Offered Semester: Fall Semesters.

Course Content

DG in One Spatial Dimension: linear system, implementation in MATLAB; Higher Dimensional Elliptic Problems: interior penalty methods, variational formulation, a prior, error estimates, implementation in MATLAB, local discontinuous Galerkin method; DG for Convection Diffusion Problems: upwind scheme; Cponstruction of Finite Element Spaces: Lagrange, Hermite, etc.; A posteriori Error Analysis: residual-based, goal-oriented, hierarchical, equilibrated error estimators: Hybrid Discontinuous Galerkin Methods.