Latest / Deep End Era. Engineering with Sankalp
The Mosaic That Holds Up the World: The Finite Element Method
Late on a Thursday night, structural engineer Bram Lindqvist refines the mesh around a lifting padeye and watches the peak stress climb with every refinement, from 310 to 540 megapascals. In episode one hundred and twenty seven we build the finite element method from first principles to find out why: the strong and weak forms and the principle of virtual work, tent-pole shape functions, the two-by-two stiffness matrix of a single bar, assembly into a sparse global system, and direct versus iterative solvers. We meet Courant's forgotten 1943 triangles, Jon Turner's group at Boeing with Ray…
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