Intro to Finite Elements
F and U are both vectors and K is a matrix.
Lecture 1: Linear Algebra and Notation
Finite Element Methods are suitable for nonsquare, or rectangular matrices which is a change from SM, which typically deals with square, and for that matter symmetric, matrices.
Vectors are like matrices but has only one value in one of the 2 dimensions so the second index is omitted
Two special matrices, the zero matrix and the identity matrix. The zero matrix is the equivalent of identically zero in linear algebra. The identity matrix is a square matrix which has 1 along the main diagonal.
Lecture 2: Introduction to the Stiffness Displacement Method
Lecture 3: Finite Element System of Equations from Direct Stiffness
Lecture 4: Development of Displacement Based FEM in 1D, Formation of Stiffness Matrix
Lecture 5: Development of Displacement Based FEM in 2D, Constant Strain Triangle and Quadrilateral Elements
Lecture 6: Practical Considerations in FEM
Lecture 7: Convergence of FEM Results
Lecture 8: Higher Order Elements
Lecture 9: Isoparametric Formulation
Lecture 10: Numeric Integration in 2D
Lecture 11: Solution of Linear Algebraic Equations
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