최근 조회 125,312

#### 100% 온라인

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#### 유동적 마감일

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#### 완료하는 데 약 30시간 필요

권장: 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....

자막: 영어

### 귀하가 습득할 기술

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

#### 100% 온라인

지금 바로 시작해 나만의 일정에 따라 학습을 진행하세요.

#### 유동적 마감일

일정에 따라 마감일을 재설정합니다.

#### 완료하는 데 약 30시간 필요

권장: 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....

자막: 영어

1
완료하는 데 6시간 필요

## 1

11개 동영상 (총 200분), 2 readings, 1 quiz
11개의 동영상
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
2개의 읽기 자료
"Paper and pencil" practice assignment on strong and weak forms2h
1개 연습문제
Unit 1 Quiz8m
2
완료하는 데 3시간 필요

## 2

14개 동영상 (총 202분), 1 quiz
14개의 동영상
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
1개 연습문제
Unit 2 Quiz6m
3
완료하는 데 7시간 필요

## 3

14개 동영상 (총 213분), 2 quizzes
14개의 동영상
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
1개 연습문제
Unit 3 Quiz6m
4
완료하는 데 5시간 필요

## 4

17개 동영상 (총 262분), 1 quiz
17개의 동영상
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 57
04.03c1. In-Video Correction 34
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
1개 연습문제
Unit 4 Quiz8m
4.7
65개의 리뷰

## 50%

이 강좌를 수료한 후 새로운 경력 시작하기

## 50%

이 강좌를 통해 확실한 경력상 이점 얻기

### The Finite Element Method for Problems in Physics의 최상위 리뷰

대학: 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.

대학: 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

## 강사 ### Krishna Garikipati, Ph.D.

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

## 미시건 대학교 정보

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....

## 자주 묻는 질문

• 강좌에 등록하면 바로 모든 비디오, 테스트 및 프로그래밍 과제(해당하는 경우)에 접근할 수 있습니다. 상호 첨삭 과제는 이 세션이 시작된 경우에만 제출하고 검토할 수 있습니다. 강좌를 구매하지 않고 살펴보기만 하면 특정 과제에 접근하지 못할 수 있습니다.

• 수료증을 구매하면 성적 평가 과제를 포함한 모든 강좌 자료에 접근할 수 있습니다. 강좌를 완료하면 전자 수료증이 성취도 페이지에 추가되며, 해당 페이지에서 수료증을 인쇄하거나 LinkedIn 프로필에 수료증을 추가할 수 있습니다. 강좌 콘텐츠만 읽고 살펴보려면 해당 강좌를 무료로 청강할 수 있습니다.

• 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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