pinnx.icbc module

Initial conditions and boundary conditions.

This module provides initial conditions (ICs) and boundary conditions (BCs) for constraining PDE solutions. Boundary conditions can be specified as Dirichlet, Neumann, Robin, periodic, or operator-based constraints.

Interfaces

Base classes for initial and boundary conditions.

ICBC: Base class for all initial and boundary conditions.

BC: Base class specifically for boundary conditions.

ICBC	Base class for initial and boundary conditions.
BC	Boundary condition base class.

Boundary Conditions

Various types of boundary conditions for PDEs.

DirichletBC: Specifies the value of the solution on the boundary (u = g).

NeumannBC: Specifies the normal derivative on the boundary (∂u/∂n = g).

RobinBC: Linear combination of value and derivative (a·u + b·∂u/∂n = g).

PeriodicBC: Periodic boundary conditions (u(x_left) = u(x_right)).

OperatorBC: General operator-based boundary condition.

PointSetBC: Boundary condition at specific points.

PointSetOperatorBC: Operator boundary condition at specific points.

Interface2DBC: Boundary condition at 2D interfaces.

DirichletBC	Dirichlet boundary conditions: y(x) = func(x).
NeumannBC	Neumann boundary conditions: dy/dn(x) = func(x).
RobinBC	Robin boundary conditions: dy/dn(x) = func(x, y).
PeriodicBC	Periodic boundary conditions.
OperatorBC	General operator boundary conditions: func(inputs, outputs) = 0.
PointSetBC	Dirichlet boundary condition for a set of points.
PointSetOperatorBC	General operator boundary conditions for a set of points.
Interface2DBC	2D interface boundary condition.

Initial Conditions

Initial conditions for time-dependent problems.

IC: Specifies the initial state of the solution (u(x, t=0) = g(x)).

IC	Initial conditions: y([x, t0]) = func([x, t0]).