SUBJECT SYLLABUS
(Major: Civil Engineering )
1. Subject name: ADVANCED NUMERICAL METHODS
2. Credit: 3
3. Instructors: Dr. Le Dinh Hong; Assoc. Prof. Chu Quoc Thang; Dr. Nguyen The Duy;
Assoc. Prof. Bui Cong Thanh, …
4. Department: Faculty of Civil Engineering
5. Course Description: The course describes various numerical methods which include a
summary of theory of elasticity, fundamentals of finite element methods, methods of
weighted residuals applied to solid mechanics as well as fluid mechanics.
6. Subject content :
No.
Content
Reference
PART A: common for all branches
1
Boundary valued problems in mechanics
[1], [2], [4]
2
Introduction to numerical methods
[1], [2], [4]
3
Finite element methods with displacement models
[1], [2], [4]
4
Bars and beams (review)
[1], [2], [4]
5
Interpolation functions
[1], [2], [4]
6
Plane, axisymmetric and 3-D problems
[1], [2], [4]
PART B: particular for individual branch
1. Construction; Bridge, tunnel and highways;
Construction Technology and Management
7
Plates and shells
[1], [2], [4]
8
Structural dynamics
[1], [2], [3], [4]
9
Nonlinear problems
[2], [4]
2. Marine Structures
7
Fundamentals of finite difference methods
[5], [6], [7], [8]
8
Parabolic problems
[5], [6], [7], [8]
9
Elliptic problems
[5], [6], [7], [8]
10
Hyperbolic problems
[5], [6], [7], [8]
11
Navier-Stokes equations
[5], [6], [7], [8]
3. Geotechnics; Water Resources Engineering
7
Nonlinear problems
8
Seepage problems
[2], [4], [9], [10]
9
Stress – strain and consolidation problems in soil
continuums
[2], 4[], [9], [10]
7. Reference:
[2], [4]
[1] Logan, D.L, A First Course in the Finite Element Method, Brooks/Cole - Thomson
Learning, 2002.
[2] Cook, R.D., D.S. Malkus & M.E. Plesha, Concepts and Application of Finite Element
Methods, Wiley, 1989.
[3] Chopra, A.K., Dynamics of Structures: Theory and Application to Earthquake Engineering,
Prentice Hall, 1995.
[4] Reddy, J.N., An Introduction to The Finite Element Method, McGraw-Hill, 1993.
[5] Ames, W.F., Numerical Methods for Partial Differential Equations, Academic, 1977.
[6] Fletcher, C.A.J., Numerical Methods in Fluid Dynamics, Springer-Verlag, Berlin Heidelberg,
1991.
[7] Koffman, E.B. và Friedman, F.L., FORTRAN Language and Applications in Engineering,
Addison-Wesley, 1993.
[8] Roache, P.J., Computational Fluid Dynamics, Hermosa, Albuquerque, 1976.
[9] Krahn, J., Geo-Slope Manuals, 2004.
[10] Plaxis Manuals, A.A. Balkema, 2002.
8. Evaluation:
No
Method
Number of test
Weight(%)
1
Mid-term test
2
Practice, Experiment
2
10
3
Seminar, Assignment,
3
50
4
Final test
1
40
Instructors