Struct MinimalSurfaceProblem 

pub struct MinimalSurfaceProblem {
    pub boundary: String,
}

Minimal surface problem: find a surface of least area spanning a given boundary curve.

Fields

boundary: String

Description of the boundary curve.

Implementations

impl MinimalSurfaceProblem

pub fn new(boundary: impl Into<String>) -> Self

Create a new MinimalSurfaceProblem with the given boundary.

pub fn euler_lagrange_equation(&self) -> String

The Euler-Lagrange equation for minimal surfaces is the mean curvature equation H = 0. In Monge form z = u(x,y): (1+u_y²)u_xx - 2 u_x u_y u_xy + (1+u_x²)u_yy = 0.

pub fn minimal_surface_area_lower_bound(&self) -> f64

Lower bound on minimal surface area: a minimal surface has area ≥ 0.

Trait Implementations

impl Clone for MinimalSurfaceProblem

fn clone(&self) -> MinimalSurfaceProblem

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for MinimalSurfaceProblem

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.