Publication

Optimal control of the Cahn-Hilliard equation

2015
Student Projects

Abstract

The goal of the project is to study an optimal control problem for the Cahn-Hilliard equation. To this end, we proceed in three steps: we first introduce the Cahn-Hilliard equation and how it is derived, and describe some of its applications; then, we approximate it with the finite element method and solve it with FreeFem++. Finally, we formulate the optimal control problem and solve it with FreeFem++.

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2015
Student Projects

Abstract

Official source

Related concepts (21)

Project

A project is any undertaking, carried out individually or collaboratively and possibly involving research or design, that is carefully planned to achieve a particular goal. An alternative view sees a project managerially as a sequence of events: a "set of interrelated tasks to be executed over a fixed period and within certain cost and other limitations". A project may be a temporary (rather than a permanent) social system (work system), possibly staffed by teams (within or across organizations) to accomplish particular tasks under time constraints.

Project management

Project management is the process of leading the work of a team to achieve all project goals within the given constraints. This information is usually described in project documentation, created at the beginning of the development process. The primary constraints are scope, time, and budget. The secondary challenge is to optimize the allocation of necessary inputs and apply them to meet pre-defined objectives. The objective of project management is to produce a complete project which complies with the client's objectives.

Project manager

A project manager is a professional in the field of project management. Project managers have the responsibility of the planning, procurement and execution of a project, in any undertaking that has a defined scope, defined start and a defined finish; regardless of industry. Project managers are first point of contact for any issues or discrepancies arising from within the heads of various departments in an organization before the problem escalates to higher authorities, as project representative.

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Optimal control of the Cahn-Hilliard equation

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