Biharmonic Operator

Bending of thin plates and shells, viscous flow in porous media, and stress functions in linear elasticity are three examples of physical quantities that can be mathematically described using the Grids | Calculate | Calculus differential and integral operator,Biharmonic Operator. The Biharmonic Operator, image\img00180.png, is defined in multivariable calculus by

image\img00181.png

This is comparable to applying the Laplacian Operator twice.

See Also

Grid Calculus

Differential and Integral Operators

Gradient Operator

Laplacian Operator

Integrated Volume

Grid Operations References