43,366 recent views

## 50%

started a new career after completing these courses

## 50%

got a tangible career benefit from this course

#### 100% online

Start instantly and learn at your own schedule.

#### Approx. 31 hours to complete

Suggested: 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....

#### English

Subtitles: English

### Skills you will gain

Finite DifferencesC++C Sharp (C#) (Programming Language)Matrices

## 50%

started a new career after completing these courses

## 50%

got a tangible career benefit from this course

#### 100% online

Start instantly and learn at your own schedule.

#### Approx. 31 hours to complete

Suggested: 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....

#### English

Subtitles: English

Week
1

## Week 1

6 hours to complete

## 1

6 hours to complete
11 videos (Total 200 min), 2 readings, 1 quiz
11 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
"Paper and pencil" practice assignment on strong and weak forms2h
1 practice exercise
Unit 1 Quiz8m
Week
2

## Week 2

3 hours to complete

## 2

3 hours to complete
14 videos (Total 202 min)
14 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
1 practice exercise
Unit 2 Quiz6m
Week
3

## Week 3

7 hours to complete

## 3

7 hours to complete
14 videos (Total 213 min)
14 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
1 practice exercise
Unit 3 Quiz6m
Week
4

## Week 4

5 hours to complete

## 4

5 hours to complete
17 videos (Total 262 min)
17 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 57s
04.03c1. In-Video Correction 34s
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
1 practice exercise
Unit 4 Quiz8m
4.6
69 Reviews

### Top reviews from The Finite Element Method for Problems in Physics

By 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.

By IKJul 21st 2019

The course is great and the tutors are very helpful. I just have a suggestion that there should be more coding assignment like one for every week.\n\nThank you

### Krishna Garikipati, Ph.D.

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

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....

• Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.