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COMSOL Multiphysics™

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femwave<br />

Purpose<br />

femwave<br />

Extend FEM structure to a wave equation problem.<br />

Syntax<br />

Description<br />

fem1 = femwave(fem)<br />

xfem1 = femwave(xfem)<br />

fem1 = femwave(fem) extends the coefficients of the PDE problem to a wave<br />

equation problem. xfem can also be an extended FEM structure. In the latter case,<br />

use geomnum to specify the geometry number for the wave extension.<br />

Note: Since <strong>COMSOL</strong> Multiphysics 3.2, wave equations can be more easily and<br />

efficiently formulated using the e a coefficient or the second time derivative<br />

variable.<br />

When fem is given in coefficient form, fem1 contains extended PDE and boundary<br />

coefficients to solve the wave equation problem<br />

2<br />

∂ u<br />

d a 2 – ∇ ⋅ ( c∇u + αu – γ)<br />

+ β∇u+ au = f<br />

∂ t<br />

where the d a coefficient was stored in the fem.equ.da field of the FEM structure<br />

fem. In the same way, when fem is given in general or weak form, fem1 contains<br />

extended PDE and boundary coefficients to solve the wave equation problem<br />

obtained by replacing the first time derivative term in the standard problem by a<br />

second time derivative.<br />

The function introduces a set of new variables, v, such that<br />

v =<br />

∂u<br />

∂t<br />

172 | CHAPTER 1: COMMAND REFERENCE

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