# Finite Element Method and Computational Structural Dynamics - Institution: IIT Roorkee - Department: Civil Engineering - Teacher: Prof. Manish Shrikhande - Level: Graduate - Language: English - Subjects: Engineering - Source: [NPTEL](https://nptel.ac.in/courses/105107209) - Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.) - Syllabus: [at the source](https://nptel.ac.in/courses/105107209) - Who can watch: Teens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words) Easy availability of computing power has made the computer aided engineering accessible to a wider section of the engineering workforce. To harness the potential of available computational resources, one needs to harmonize the twin aspects of theory and practice. While most of the graduate courses teach finite element method, its application to a range of problems using software tools is generally left out. The objective of this course is to approach the finite element theory from a perspective of effective computer implementation with an extensive set of tutorial problems based on public domain software tools. Intended audience: Post graduate students in Civil / Structural / Geotechnical / Mechanical/Aerospace Engineering and Mathematics Prerequisites: Basic course in Calculus ## Lectures 1. [Introduction to Scientific Computations I](https://invisiblenetwork.ai/learn/nptel/105107209/54d0f86aa48e) (YouTube) 2. [Introduction to Scientific Computations II](https://invisiblenetwork.ai/learn/nptel/105107209/d45eda2369bb) (YouTube) 3. [Basic Concepts of Linear Algebra](https://invisiblenetwork.ai/learn/nptel/105107209/0157a7de7d87) (YouTube) 4. [Polynomial Interpolation and Numerical Quadrature I](https://invisiblenetwork.ai/learn/nptel/105107209/7a0fee752dbd) (YouTube) 5. [Polynomial Interpolation and Numerical Quadrature II](https://invisiblenetwork.ai/learn/nptel/105107209/452dadae0668) (YouTube) 6. [Polynomial Interpolation and Numerical Quadrature-III](https://invisiblenetwork.ai/learn/nptel/105107209/0921d8779725) (YouTube) 7. [Polynomial Interpolation and Numerical Quadrature-IV](https://invisiblenetwork.ai/learn/nptel/105107209/b7a9dda49fcf) (YouTube) 8. [Mathematical Modelling and Approximate Solutions-I](https://invisiblenetwork.ai/learn/nptel/105107209/fd86ac0e2453) (YouTube) 9. [Mathematical Modelling and Approximate Solutions-II](https://invisiblenetwork.ai/learn/nptel/105107209/13df75931356) (YouTube) 10. [Mathematical Modelling and Approximate Solutions-III](https://invisiblenetwork.ai/learn/nptel/105107209/ac08da1e1025) (YouTube) 11. [Approximation via Variational Principles](https://invisiblenetwork.ai/learn/nptel/105107209/c17da6eeca27) (YouTube) 12. [Introduction to the Finite Element Concept](https://invisiblenetwork.ai/learn/nptel/105107209/76ed34112eda) (YouTube) 13. [Finite Elements of C^0 Continuity in 1-D-I](https://invisiblenetwork.ai/learn/nptel/105107209/affc2d2b4476) (YouTube) 14. [Finite Elements of C^0 Continuity in 1-D-II](https://invisiblenetwork.ai/learn/nptel/105107209/8881f1bb9599) (YouTube) 15. [Finite Elements of C^0 Continuity in 1-D-III](https://invisiblenetwork.ai/learn/nptel/105107209/4465af38b5f1) (YouTube) 16. [Finite Elements of C^0 Continuity in 1-D-IV](https://invisiblenetwork.ai/learn/nptel/105107209/5cc1051f8515) (YouTube) 17. [Finite Elements of C^1 Continuity in 1-D-I](https://invisiblenetwork.ai/learn/nptel/105107209/8a6e8071ba61) (YouTube) 18. [Finite Elements of C^1 Continuity in 1-D-II](https://invisiblenetwork.ai/learn/nptel/105107209/2212a1eb7983) (YouTube) 19. [Finite Elements of C^0 Continuity in 2-D & 3-D-I](https://invisiblenetwork.ai/learn/nptel/105107209/8bd91433f611) (YouTube) 20. [Finite Elements of C^0 Continuity in 2-D & 3-D-II](https://invisiblenetwork.ai/learn/nptel/105107209/0cf1e1148080) (YouTube) 21. [Finite Elements of C^0 Continuity in 2-D & 3-D-III](https://invisiblenetwork.ai/learn/nptel/105107209/f5d067b10cbd) (YouTube) 22. [Finite Elements of C^0 Continuity in 2-D & 3-D-IV](https://invisiblenetwork.ai/learn/nptel/105107209/f981ab5bcd50) (YouTube) 23. [Finite Elements of C^0 Continuity in 2-D & 3-D-V](https://invisiblenetwork.ai/learn/nptel/105107209/6e6ac739892b) (YouTube) 24. [Finite Elements of C^0 Continuity in 2-D & 3-D-VI](https://invisiblenetwork.ai/learn/nptel/105107209/e9c6a222df16) (YouTube) 25. [Finite Elements of C^0 Continuity in 2-D & 3-D-VII](https://invisiblenetwork.ai/learn/nptel/105107209/91d893991049) (YouTube) 26. [Finite Elements of C^0 Continuity in 2-D & 3-D-VIII](https://invisiblenetwork.ai/learn/nptel/105107209/c288b1463589) (YouTube) 27. [Finite Elements of C^0 Continuity in 2-D & 3-D-IX](https://invisiblenetwork.ai/learn/nptel/105107209/3004ae24e43f) (YouTube) 28. [Finite Elements of C^0 Continuity in 2-D & 3-D-X](https://invisiblenetwork.ai/learn/nptel/105107209/dd16058b63da) (YouTube) 29. [Finite Elements of C^0 Continuity in 2-D & 3-D-XI](https://invisiblenetwork.ai/learn/nptel/105107209/ceffcbc35d57) (YouTube) 30. [Finite Elements of C^0 Continuity in 2-D & 3-D-XII](https://invisiblenetwork.ai/learn/nptel/105107209/a44f364747b3) (YouTube) 31. [Mapped Elements – I](https://invisiblenetwork.ai/learn/nptel/105107209/0f6a79881e72) (YouTube) 32. [Mapped Elements – II](https://invisiblenetwork.ai/learn/nptel/105107209/ccae2d7f7a42) (YouTube) 33. [Mapped Elements – III](https://invisiblenetwork.ai/learn/nptel/105107209/fce5b410bd01) (YouTube) 34. [Mapped Elements – IV](https://invisiblenetwork.ai/learn/nptel/105107209/b3a880402422) (YouTube) 35. [Mapped Elements – V](https://invisiblenetwork.ai/learn/nptel/105107209/6aad052e5b4a) (YouTube) 36. [Variational Crimes](https://invisiblenetwork.ai/learn/nptel/105107209/e721d59135a7) (YouTube) 37. [The Patch Test](https://invisiblenetwork.ai/learn/nptel/105107209/c14a16597389) (YouTube) 38. [Finite Elements for Plates and Shells – I](https://invisiblenetwork.ai/learn/nptel/105107209/b71107ccf5aa) (YouTube) 39. [Finite Elements for Plates and Shells – II](https://invisiblenetwork.ai/learn/nptel/105107209/b71b8dbc632d) (YouTube) 40. [Finite Elements for Plates and Shells – III](https://invisiblenetwork.ai/learn/nptel/105107209/142f2e87a8e0) (YouTube) 41. [The Time Dimension and Dynamic Effects – I](https://invisiblenetwork.ai/learn/nptel/105107209/c8aca1d3542d) (YouTube) 42. [The Time Dimension and Dynamic Effects – II](https://invisiblenetwork.ai/learn/nptel/105107209/f4b19250793d) (YouTube) 43. [Solution of Linear Simultaneous Equations -I](https://invisiblenetwork.ai/learn/nptel/105107209/44c320a0c00e) (YouTube) 44. [Solution of Linear Simultaneous Equations -II](https://invisiblenetwork.ai/learn/nptel/105107209/7ea75e43f9fd) (YouTube) 45. [Solution of Linear Simultaneous Equations -III](https://invisiblenetwork.ai/learn/nptel/105107209/eda36959b533) (YouTube) 46. [Solution of Linear Simultaneous Equations -IV](https://invisiblenetwork.ai/learn/nptel/105107209/235db8f12440) (YouTube) 47. [The Algebraic Eigenvalue Problem -I](https://invisiblenetwork.ai/learn/nptel/105107209/5f9a2e11e553) (YouTube) 48. [The Algebraic Eigenvalue Problem -II](https://invisiblenetwork.ai/learn/nptel/105107209/2310c01c1d8f) (YouTube) 49. [The Algebraic Eigenvalue Problem -III](https://invisiblenetwork.ai/learn/nptel/105107209/e13572350fa4) (YouTube) 50. [The Algebraic Eigenvalue Problem -IV](https://invisiblenetwork.ai/learn/nptel/105107209/8063b3a27a80) (YouTube) 51. [Time Marching -I](https://invisiblenetwork.ai/learn/nptel/105107209/da167de93836) (YouTube) 52. [Time Marching -II](https://invisiblenetwork.ai/learn/nptel/105107209/7bb1f8c709ce) (YouTube) 53. [Time Marching -III](https://invisiblenetwork.ai/learn/nptel/105107209/78b014954864) (YouTube) 54. [Discrete Fourier Transform -I](https://invisiblenetwork.ai/learn/nptel/105107209/64156df7a61a) (YouTube) 55. [Discrete Fourier Transform -II](https://invisiblenetwork.ai/learn/nptel/105107209/d5211372142c) (YouTube) 56. [Discrete Fourier Transform -III](https://invisiblenetwork.ai/learn/nptel/105107209/e7437edf0010) (YouTube) 57. [Discrete Fourier Transform -IV](https://invisiblenetwork.ai/learn/nptel/105107209/f33de6299ec3) (YouTube) 58. [Discrete Fourier Transform -V](https://invisiblenetwork.ai/learn/nptel/105107209/74684e081067) (YouTube) 59. [Discrete Fourier Transform -VI](https://invisiblenetwork.ai/learn/nptel/105107209/0134e852adc9) (YouTube) 60. [Discrete Fourier Transform -VII](https://invisiblenetwork.ai/learn/nptel/105107209/370fd38a0b4e) (YouTube)