We consider the initial-boundary value problem for an inhomogeneous time-fractional diffusion equation with a homogeneous Dirichlet boundary condition, a vanishing initial data and a nonsmooth right-hand side in a bounded convex polyhedral domain. We analyse two semidiscrete schemes based on the standard Galerkin and lumped mass finite element methods. Almost optimal error estimates are obtaine...

Abstract—In the present paper a simple model has been given to simulate the signal propagation through cross orthogonal coupled strip lines in multilayer PCB board. First the structure has been analyzed using a full wave software (such as microwave office) then a simple and suitable lumped equivalent circuit is proposed for the coupled cross talk region. The values of the lumped equivalent circ...

This survey is devoted to some fractional extensions of the incomplete lumped formulation, the lumped formulation and the formulation of Lauwerier of the temperature field problem in oil strata. The method of integral transforms is used to solve the corresponding boundary value problems for the fractional heat equation. By using Caputo’s differintegration operator and the Laplace transform, new...

a = index referring to the lumped mass ‘a’ b = index referring to the lumped mass ‘b’ Fxi = X component of the inertial force acting on the i-th lumped mass (i = a or b) Fyi = Y component of the inertial force acting on the i-th lumped mass (i = a or b) Fzi = Z component of the inertial force acting on the i-th lumped mass (i = a or b) R = half of the distance between the two arms (bars) in par...

A method is proposed to compute moments of distributed coupled RLC interconnects. Both uniform line models and non-uniform line models will be developed. Considering both self inductances and mutual inductances in multi-conductors, recursive moment computations formulae of lumped coupled RLC interconnects are extended to those of distributed coupled RLC interconnects. By using the moment comput...

This paper is focused on the creation of an efficient electromagnetic model of MEMS switches which operates at microwave frequencies. The switches are first characterized using a full wave analysis based on a finite element method to extract the S-parameters of the switches for different geometrical dimensions. From the S-parameter database, a scalable lumped circuit model is extracted to allow...

0 1 5 Frequency [GHz] 6 2 3 4 Abstract The validity of lumped element microwave class-F amplifier circuit design has been demonstrated experimentally. By means of the proposed class-F amplifier design method, more than 4th-order higher harmonic frequencies can be taken into account in class-F microwave amplifier design using only lumped element components. In this approach, miniaturization of c...

in this study a new minimum lumped electrical model of total circulatory system through numerical solutions to approximate the response of the human circulatory system was presented. among five existent ventricular elastances as activity function of heart pumps, a more accurate model was chosen as well as the operation of baroreflex system to accommodate variations in heart rate and systemic va...

Lumped and transfer rate constants in ischemic brain tissue must be measured to estimate accurately cerebral glucose utilization by the deoxyglucose method. We studied the bilateral middle cerebral artery occlusion model in 17 cats, 5 with a 1-hour occlusion, 5 with a 4-hour occlusion, and 7 with a sham operation. The time course of cerebral tissue radioactivity (Ci*(t)) was monitored by extern...