Elements of MATLAB and Simulink - Lecture 7 - PERCRO

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Families of PDE and use• Elliptic and Parabolic• Steady and unsteady heat transferin solids• Flows in porous media anddiffusion problems• Electrostatics of dielectric andconductive media• Potential flow• Hyperbolic• Transient and harmonic wavepropagation in acoustics andelectromagnetics• Transverse motions of membranes• Eigenvalue• Determining natural vibrationstates in membranes andstructural mechanics problems
MATLAB Partial Differential Equation ToolboxSolves some families of PDE: elliptics, parabolic, hyperbolic andeigenvaluePDE Toolbox works in the easiest way with 2D BoundaryUser Interface (pdetool) and Command lineSteps1. Define the Domain2. Define the Boundary function3. Solve4. Plot results
Page 1 and 2: Elements ofMatlab and SimulinkLectu
Page 3 and 4: Introducing PDEOrdinary Differentia
Page 5 and 6: Heat EquationHeat (or diffusion) eq
Page 7 and 8: Heat Equation 2DHeat Equation 2D: d
Page 9 and 10: Wave EquationLinear Waveu_tt = c^2
Page 11 and 12: Basics of FEMHow we can solve PDE n
Page 13: FEM 2DAirSiliconGeneralized approac
Page 17 and 18: Geometry as Mesh• The FEM resolut
Page 19 and 20: Resolution of PDE• Solver functio
Page 21 and 22: PDE for Simulink• Simulink Solves
Page 23 and 24: Matrix Form of the FEMBasic Matrix
Page 25 and 26: Thermal Regulation PDE• Geometry
Page 27: References• Books• An Introduct

Elements of MATLAB and Simulink - Lecture 7 - PERCRO

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