![]() 2) Choice of element type - shape (triangle, quadrilateral, etc.), number of nodes (3, 4, 5, 8, etc.) and shape function (linear, quadratic, etc.). The Finite Element Part: 1) Discretization of the space into pieces (the elements) – this is called the Mesh. ![]() du/dn) – “Natural Boundary Condition” or “Neumann Boundary Condition” 3) The relationship between the dependent variable and its normal derivative (e.g. u) – “Essential Boundary Condition” or “Dirichlet Boundary Condition” 2) The derivative of the variable itself (e.g. ![]() On each boundary you must specify either: 1) The dependent variable itself (e.g. The Mathematical Problem: Boundary Conditions. Independent Variables – space and time (x,y,z,t) Dependent Variables – unknown field (such as u) Boundary conditions (for static or steady state problems) and initial conditions (for transient problems). Numerical Solution of Partial Differential Equations (PDEs). White, Comsol Acoustics Introduction, © 2012
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