MATHEMATICAL ANALYSIS FOR QUADRILATERAL ROTATED Q_1 ELEMENT II: POINCARE INEQUALITY AND TRACE INEQUALITY

摘要

This is the second part of the paper for the mathematical study of nonconforming rotated Q_1 element (NRQ_1 hereafter) on arbitrary quadrilateral meshes. Some Poincare Inequalities are proved without assuming the quasi-uniformity of the mesh subdivision. A discrete trace inequality is also proved.