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Engineering · L5 · FEM Pipeline: PDE to Solution

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Flowchart of the finite element method from the governing PDE through mesh generation, assembly, and solution.

by @openstemUpdated Engineering
Strong form PDEMultiply by test function v; integrate by parts → Weak formDiscretise domain into elements; assign nodesChoose shape functions φᵢ on each elementCompute element stiffness matrices Kᵉ and load vectors fᵉAssemble global K and f via scatter-addApply boundary conditions — Dirichlet / NeumannSolve Ku = f for nodal unknowns uPost-process: stresses, fluxes, error estimation

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