view src/SbpOperators/boundary_conditions/sat.jl @ 1616:e41eddc640f3 feature/boundary_conditions

Docs
author Vidar Stiernström <vidar.stiernstrom@gmail.com>
date Sun, 09 Jun 2024 17:51:57 -0700
parents fca4a01d60c9
children 77f192b05b1d
line wrap: on
line source

"""
    sat_tensors(op, grid, bc::BoundaryCondition, params...)

The tensor and boundary operator used to construct a simultaneous-approximation-term
for imposing `bc` related to `op`.

For `penalty_tensor, L  = sat_tensors(...)` then `SAT = penalty_tensor*(L*u - g)`  where `g` 
is the boundary data.
"""
function sat_tensors end


"""
    sat(op, grid, bc::BoundaryCondition; kwargs...)

Simultaneous-Approximation-Term for a general `bc` to `op`. 
Returns a function `SAT(u,g)` weakly imposing `bc` when added to `op*u`.

`op` must implement the function `sat_tensors`.
"""
function sat(op, grid, bc::BoundaryCondition; kwargs...)
    penalty_tensor, L = sat_tensors(op, grid, bc; kwargs...)
    return SAT(u, g) = penalty_tensor*(L*u - g)
end