Abstract. Geodynamical simulations over the past decades have widely been built on quadrilateral and hexahedral finite elements. For discretization of key Stokes equation describing slow, viscous flow, most codes use either unstable Q1×P0 element, a stabilized version equal-order Q1×Q1 or more recently stable Taylor–Hood element with continuous (Q2×Q1) discontinuous (Q2×P-1) pressure. However, ...