We present a least-squares mixed finite element approximation of an elliptic problem with degenerate coefficients, arising in the study of the electronmagnetic field in a resonant structure with cylindrical symmetry. ...We present a least-squares mixed finite element approximation of an elliptic problem with degenerate coefficients, arising in the study of the electronmagnetic field in a resonant structure with cylindrical symmetry. Optimal error estimates are developed, especially in the case of differing polynomial degrees for the primary solution approximation uh and the flux approximation σh.展开更多
文摘We present a least-squares mixed finite element approximation of an elliptic problem with degenerate coefficients, arising in the study of the electronmagnetic field in a resonant structure with cylindrical symmetry. Optimal error estimates are developed, especially in the case of differing polynomial degrees for the primary solution approximation uh and the flux approximation σh.
