Credits: 3 (3-0-0)
Prerequisites: MTL107/MTL509 and MTL411/MTL602
Description
Variational formulation of elliptic boundary value problems; Lax Milgram Lemma; Existence and uniqueness of solutions; equivalence of Galerkin and Ritz variational formulations; Triangulation of ordinary domains-rectangles, polygons, circles, ellipses, etc. Finite element problems; conforming and non-conforming methods, Ce’a’s Lemma, Interpolation on simplexes in Rn, different Lagrange and Hermite finite elements, Affine, isoparametric, sub-parametric, super parametric finite elements; Triangulation using isoparametric mapping; approximation of boundary; Numerical Integration, construction of element stiffness matrices and assembly into global stiffness matrix, Skyline method of solution of finite element equations; Solution of model problems and computer implementation procedures; Asymptotic error estimate results; Eigenvalue problems of Laplace operator.
Prerequisite Tree
flowchart TD
MTL781-1477[MTL781]
MTL781-1477 --- Or1478[Any one of]:::empty
Or1478 -.-> MTL107-1479[MTL107]
Or1478 -.-> MTL509-1480[MTL509]
MTL781-1477 --- Or1481[Any one of]:::empty
MTL122-1482 --> MTL100-1482[MTL100]
MTL104-1482 --> MTL101-1482[MTL101]
MTL411-1482 --> MTL122-1482[MTL122]
MTL411-1482 --> MTL104-1482[MTL104]
Or1481 -.-> MTL411-1482[MTL411]
Or1481 -.-> MTL602-1483[MTL602]
classDef empty height:17px, fill:transparent, stroke:transparent;
classDef trueEmpty height:0px, width:0px;