Acerca de este Curso
4.6
219 calificaciones
50 revisiones
100 % en línea

100 % en línea

Comienza de inmediato y aprende a tu propio ritmo.
Fechas límite flexibles

Fechas límite flexibles

Restablece las fechas límite en función de tus horarios.
Nivel intermedio

Nivel intermedio

Horas para completar

Aprox. 24 horas para completar

Sugerido: You should expect to watch about 3 hours of video lectures a week. Apart from the lectures, expect to put in between 3 and 5 hours a week....
Idiomas disponibles

Inglés (English)

Subtítulos: Inglés (English)...

Habilidades que obtendrás

Finite DifferencesC++C Sharp (C#) (Programming Language)Matrices
100 % en línea

100 % en línea

Comienza de inmediato y aprende a tu propio ritmo.
Fechas límite flexibles

Fechas límite flexibles

Restablece las fechas límite en función de tus horarios.
Nivel intermedio

Nivel intermedio

Horas para completar

Aprox. 24 horas para completar

Sugerido: You should expect to watch about 3 hours of video lectures a week. Apart from the lectures, expect to put in between 3 and 5 hours a week....
Idiomas disponibles

Inglés (English)

Subtítulos: Inglés (English)...

Programa - Qué aprenderás en este curso

Semana
1
Horas para completar
6 horas para completar

1

This unit is an introduction to a simple one-dimensional problem that can be solved by the finite element method....
Reading
11 videos (Total: 200 min), 2 readings, 1 quiz
Video11 videos
01.02. Introduction. Linear elliptic partial differential equations - II 13m
01.03. Boundary conditions 22m
01.04. Constitutive relations 20m
01.05. Strong form of the partial differential equation. Analytic solution 22m
01.06. Weak form of the partial differential equation - I 12m
01.07. Weak form of the partial differential equation - II 15m
01.08. Equivalence between the strong and weak forms 24m
01.08ct.1. Intro to C++ (running your code, basic structure, number types, vectors) 21m
01.08ct.2. Intro to C++ (conditional statements, “for” loops, scope) 19m
01.08ct.3. Intro to C++ (pointers, iterators) 14m
Reading2 lecturas
Help us learn more about you!10m
"Paper and pencil" practice assignment on strong and weak formsm
Quiz1 ejercicio de práctica
Unit 1 Quiz8m
Semana
2
Horas para completar
3 horas para completar

2

In this unit you will be introduced to the approximate, or finite-dimensional, weak form for the one-dimensional problem....
Reading
14 videos (Total: 202 min), 1 quiz
Video14 videos
02.01q. Response to a question 7m
02.02. Basic Hilbert spaces - I 15m
02.03. Basic Hilbert spaces - II 9m
02.04. The finite element method for the one-dimensional, linear, elliptic partial differential equation 22m
02.04q. Response to a question 6m
02.05. Basis functions - I 14m
02.06. Basis functions - II 14m
02.07. The bi-unit domain - I 11m
02.08. The bi-unit domain - II 16m
02.09. The finite dimensional weak form as a sum over element subdomains - I 16m
02.10. The finite dimensional weak form as a sum over element subdomains - II 12m
02.10ct.1. Intro to C++ (functions) 13m
02.10ct.2. Intro to C++ (C++ classes) 16m
Quiz1 ejercicio de práctica
Unit 2 Quiz6m
Semana
3
Horas para completar
7 horas para completar

3

In this unit, you will write the finite-dimensional weak form in a matrix-vector form. You also will be introduced to coding in the deal.ii framework....
Reading
14 videos (Total: 213 min), 2 quizzes
Video14 videos
03.02. The matrix-vector weak form - I - II 17m
03.03. The matrix-vector weak form - II - I 15m
03.04. The matrix-vector weak form - II - II 13m
03.05. The matrix-vector weak form - III - I 22m
03.06. The matrix-vector weak form - III - II 13m
03.06ct.1. Dealii.org, running deal.II on a virtual machine with Oracle VirtualBox12m
03.06ct.2. Intro to AWS, using AWS on Windows24m
03.06ct.2c. In-Video Correction3m
03.06ct.3. Using AWS on Linux and Mac OS7m
03.07. The final finite element equations in matrix-vector form - I 22m
03.08. The final finite element equations in matrix-vector form - II 18m
03.08q. Response to a question 4m
03.08ct. Coding assignment 1 (main1.cc, overview of C++ class in FEM1.h) 19m
Quiz1 ejercicio de práctica
Unit 3 Quiz6m
Semana
4
Horas para completar
5 horas para completar

4

This unit develops further details on boundary conditions, higher-order basis functions, and numerical quadrature. You also will learn about the templates for the first coding assignment....
Reading
17 videos (Total: 262 min), 1 quiz
Video17 videos
04.02. The pure Dirichlet problem - II 17m
04.02c. In-Video Correction 1m
04.03. Higher polynomial order basis functions - I 23m
04.03c0. In-Video Correction m
04.03c1. In-Video Correction m
04.04. Higher polynomial order basis functions - I - II 16m
04.05. Higher polynomial order basis functions - II - I 13m
04.06. Higher polynomial order basis functions - III 23m
04.06ct. Coding assignment 1 (functions: class constructor to “basis_gradient”) 14m
04.07. The matrix-vector equations for quadratic basis functions - I - I 21m
04.08. The matrix-vector equations for quadratic basis functions - I - II 11m
04.09. The matrix-vector equations for quadratic basis functions - II - I 19m
04.10. The matrix-vector equations for quadratic basis functions - II - II 24m
04.11. Numerical integration -- Gaussian quadrature 13m
04.11ct.1. Coding assignment 1 (functions: “generate_mesh” to “setup_system”) 14m
04.11ct.2. Coding assignment 1 (functions: “assemble_system”) 26m
Quiz1 ejercicio de práctica
Unit 4 Quiz8m
4.6

Principales revisiones

por SSMar 13th 2017

It is very well structured and Dr Krishna Garikipati helps me understand the course in very simple manner. I would like to thank coursera community for making this course available.

por YWJun 21st 2018

Great class! I truly hope that there are further materials on shell elements, non-linear analysis (geometric nonlinearity, plasticity and hyperelasticity).

Instructor

Avatar

Krishna Garikipati, Ph.D.

Professor of Mechanical Engineering, College of Engineering - Professor of Mathematics, College of Literature, Science and the Arts

Acerca de University of Michigan

The mission of the University of Michigan is to serve the people of Michigan and the world through preeminence in creating, communicating, preserving and applying knowledge, art, and academic values, and in developing leaders and citizens who will challenge the present and enrich the future....

Preguntas Frecuentes

  • Una vez que te inscribes para obtener un Certificado, tendrás acceso a todos los videos, cuestionarios y tareas de programación (si corresponde). Las tareas calificadas por compañeros solo pueden enviarse y revisarse una vez que haya comenzado tu sesión. Si eliges explorar el curso sin comprarlo, es posible que no puedas acceder a determinadas tareas.

  • Cuando compras un Certificado, obtienes acceso a todos los materiales del curso, incluidas las tareas calificadas. Una vez que completes el curso, se añadirá tu Certificado electrónico a la página Logros. Desde allí, puedes imprimir tu Certificado o añadirlo a tu perfil de LinkedIn. Si solo quieres leer y visualizar el contenido del curso, puedes participar del curso como oyente sin costo.

  • You will need computing resources sufficient to install the code and run it. Depending on the type of installation this could be between a 13MB download of a tarred and gzipped file, to 45MB for a serial MacOSX binary and 192MB for a parallel MacOSX binary. Additionally, you will need a specific visualization program that we recommend. Altogether, if you have 1GB you should be fine. Alternately, you could download a Virtual Machine Interface.

  • You will be able to write code that simulates some of the most beautiful problems in physics, and visualize that physics.

  • You will need to know about matrices and vectors. Having seen partial differential equations will be very helpful. The code is in C++, but you don't need to know C++ at the outset. We will point you to resources that will teach you enough C++ for this class. However, you will need to have done some programming (Matlab, Fortran, C, Python, C++ should all do).

  • Apart from the lectures, expect to put in between 5 and 10 hours a week.

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