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2-D elements - LMU

1 Finite element method basis functionsFinite elements : Basis functions1-D elements coordinate transformation 1-D elements linear basis functions quadratic basis functions cubic basis functions2-D elements coordinate transformation triangular elements linear basis functions quadratic basis functions rectangular elements linear basis functions quadratic basis functionsScope: Understand the origin and shape of basis functions used in classical finite element techniques. 2 Finite element method basis functions1-D elements : coordinate transformationWe wish to approximate a function u(x) defined in an interval [a,b] by some set of basis functions ==niiicxu1)( where i is the number of grid points (the edges of our elements ) defined at locations xi.

Finite element method – basis functions. 20. 1-D and 2-D elements: summary. The basis functions for finite element problems can be obtained by: ¾Transforming the system in to a local (to the element) system

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