Finite Element Method: Global Approach

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Finite Element Method Basics

Covers the basics of the Finite Element Method (FEM) for linear and nonlinear partial differential equations.

Numerical Methods for PDE

Explores numerical methods for solving PDEs, including FDM, FVM, and FEM, stiffness matrix calculations, nonlinear PDEs, error control, and patient-specific modeling.

Finite Element Method: Higher Order Models

Explores precision of higher order finite element models and applications of quadratic finite elements in elastodynamics.

Finite Element Methods

Covers the application of Newmark schemes for time discretization in the context of energy conservation.

Boundary Value Problems: Numerical Methods

Covers the motivation and examples of boundary value problems, the finite difference method, and the approximation of local derivatives.

Other Topics: Techniques for Fluid Interfaces

Explores numerical methods for fluid dynamics and techniques for handling fluid interfaces.

Finite Element Method: Global Approach

Explores the finite element method's global approach, including shape functions and systematization.

Proper Actions and Quotients

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Variational Formulation: Finite Element Method

Discusses the variational formulation of the heat equation using the finite element method.

Finite Element Method: Weak Formulation and Applications

Explores integral and weak formulations in Finite Element Method applications.