 Home

Codex Wiki

Mathematics

Area of mathematics

Analysis

Real analysis

Calculus

Multivariable calculus

Vector calculus

Laplacian

{title2=$\Delta^2$}

The biharmonic operator applies the <Laplacian> twice. Under clamped boundary conditions, two integrations by parts give the positive quadratic form
$$
\langle\Delta^2u,u\rangle=\int_\Omega|\Delta u|^2.
$$

Biharmonic operator

Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 341 / Section A / 4 / c / Solution

Past exam of the mathematics course of the University of Cambridge / 2022 / iii / Paper 355 / 1 / b / Solution

Biharmonic operator ( $Δ^{2}$ )

 Ancestors (9)

 Incoming links (2)

 Discussion (0)

 Articles by others on the same topic (0)

Biharmonic operator (Δ2)

 Ancestors (9)

 Incoming links (2)

 Discussion (0)  Subscribe (1)

 Articles by others on the same topic (0)

Biharmonic operator ( $Δ^{2}$ )

 Discussion (0)