Sentence examples for Limited regularity from inspiring English sources
The occurrence of discontinuous coefficients in the governing equation means that exponential convergence is impossible due to the limited regularity of the eigenfunctions.
Due to the limited regularity of the optimal control u in general, we therefore only consider a piecewise constant space.
Here piecewise constant FE space is used for the approximation of the control due to the limited regularity of the optimal control (normally, (H^{1})).
Due to the limited regularity of the optimal control u in general, there will be no advantage in considering higher-order finite element spaces rather than the piecewise constant space for the control.
Due to the existence of boundary layer or interior layer for the state and adjoint state as well as limited regularity of control variable, we derive a posteriori error estimates for the state and adjoint state, which can be utilized to guide the mesh refinements in the adaptive algorithm.
According to Munro [ 27], our group of women could be classified at normal limits of regularity, duration and frequency of menstrual periods when the 5th to 95th centiles are utilized.
Other factors, including expense and obstruction to clinical work flow, limit the regularity at which other measurements are taken, such as with the use of computer tomography and echocardiography.
The range of the results implied by such estimates is of course limited by the regularity theory of homogeneous equations as div a ( x, D w ) = 0. (28)Therefore we first recall what is the maximal regularity of solutions to equations as in (28) and in (29) below.
There are, of course, limits to the regularity with which these generalizations hold.
The government hits the limit with some regularity because federal spending vastly exceeds revenue.
An effective shellfish monitoring system, which shuts down aquaculture sites when toxins exceed regularity limits, has clearly prevented serious impact to human health, and remains the only viable means of monitoring the potential threat to human health.
