Feldbereich

Feldbereich is a German term that literally means field region or field area. It denotes the spatial region in which a field is defined, present, or of interest. The exact meaning depends on the discipline, and in many contexts Feldbereich is used informally rather than as a rigorously defined concept.

In physics and engineering, the Feldbereich usually refers to the spatial domain where a field exists or is observed, such as an electric field, magnetic field, gravitational field, or velocity field in a fluid. It describes the region over which the field equations are applied and boundary conditions are specified. In simulations and measurements, the Feldbereich corresponds to the volume where the field is computed or recorded.

In mathematics and differential geometry, a field (scalar, vector, or tensor) can be defined on a region of a manifold, and that region is effectively the Feldbereich of the field. This usage is closely related to the notions of the domain (Definitionsbereich) and the range or codomain (Wertebereich), but Feldbereich tends to be less formal and more context-dependent.

Examples of use include the Feldbereich of a temperature field within a room, the Feldbereich of a magnetic field inside a device, or the Feldbereich of a velocity field in a simulated flow. The term emphasizes the spatial extent over which the field is considered rather than the mathematical values alone.

See also: Feldtheorie, Vektorfeld, Skalare Feld, Definitionsbereich, Wertebereich.