Based on the principle of blackbody radiation, sapphire optic fiber temperature sensor has been more widely used in recent years, and its temperature range is between 800 ~ 2000 oC, and the response time is in 10-2 magnitude, and transient temperature measurement can be high precision in harsh environments. Nonlinear constraints on sapphire fiber temperature sensor affect the accuracy and stabi...

We propose and study numerically the implicit approximation in time of Navier–Stokes equations by a Galerkin–collocation method combined with inf–sup stable finite element methods space. The conceptual basis approach is establishment direct connection between Galerkin classical collocation methods, perspective achieving accuracy former reduced computational costs terms less complex algebraic sy...

We consider the task of filtering the noise from images and other types of inputs which are assumed to be piecewise continuous and piecewise monotone. We show that nonlinear diffusion of the data, a powerful filtering method, is too restrictive for such a case, leading to piecewise constant functions. We claim that the piecewise monotonicity can be enhanced by nonlinear diffusion of first parti...

We present a stabilized finite element method for Stokes equations with piecewise continuous bilinear approximations for both velocity and pressure variables. The velocity field is enriched with piecewise polynomial bubble functions with null average at element edges. These functions are statically condensed at the element level and therefore they can be viewed as a continuous Q1–Q1 stabilized ...

‎‎In this article‎, ‎a new method is introduced to give approximate solution to Van der Pol equation‎. ‎The proposed method is based on the combination of two different methods‎, ‎the spectral Adomian decomposition method (SADM) and piecewise method‎, ‎called the piecewise Adomian decomposition method (PSADM)‎. ‎The numerical results obtained from the proposed method show that this method is an...

In a recent paper we examined a model of an arch bridge with viscous damping subjected to a sinusoidally varying central load. We showed how this yields a useful archetypal oscillator which can be used to study the transition from smooth to discontinuous dynamics as a parameter, alpha, tends to zero. Decreasing this smoothness parameter (a non-dimensional measure of the span of the arch) change...

y m i = vl i for i = 0, . . . ,m 1 Extraction . Here, x 2 X ✓ R denotes a vector of input variables, y = y(x) 2 R the corresponding output variables, and ' some smooth intermediate assignments from a library ⌘ +, , ⇤, /, p ·, exp, sin, cos, . . . . However, the smoothness assumption is violated in most real applications. For example, the evaluation routines of many physical applications contain...