Galerkin approximation

{
  "id": "MLC-T-MET-005864",
  "term": "Galerkin approximation",
  "field": "Meteorology and atmospheric science",
  "definition": "A numerical method used to find approximate solutions to differential equations by projecting the residual onto a set of basis functions. It seeks a solution within a finite-dimensional subspace that minimizes the error in a weighted integral sense. This technique is a foundational component of many finite element methods used in atmospheric modeling.",
  "see_also": [
    "element"
  ],
  "url": "https://mlchart.com/terminology/meteorology/galerkin-approximation/"
}