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MA8502 - Numerical Solution of Partial Differential Equations
Relevant concepts from functional analysis
A brief review on function spaces
Weak formulation of partial differential equations
A primer on finite element methods
The finite element method
Tutorial 1: Poisson problem with Dirichlet conditions and code validation
Tutorial 2: Dirichlet boundary conditions
Advection-diffusion-reaction problems
Weak formulation and well-posedness of the advection-reaction-diffusion problem
Challenges for standard finite element discretizations of the ADR problem
Discontinuous Galerkin methods for elliptic problems
Project 1: Discontinuous Galerkin methods for advection-diffusion-reaction problems
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