6533b839fe1ef96bd12a6dc6

RESEARCH PRODUCT

Finite element approximation of vector fields given by curl and divergence

A. R. MitchellPekka NeittaanmäkiJ. Saranen

subject

PointwiseCurl (mathematics)Vector operatorApproximation errorGeneral MathematicsMathematical analysisGeneral EngineeringMixed finite element methodComplex lamellar vector fieldMathematicsVector potentialExtended finite element method

description

In this paper a finite element approximation scheme for the system curl is considered. The use of pointwise approximation of the boundary condition leads to a nonconforming method. The error estimate is proved and numerically tested.

https://doi.org/10.1002/mma.1670030124