Although adaptive finite element methods (FEMs) are recognized as powerful techniques for solving mixed variational problems of fluid mechanics, usually they are not even proven to converge. Only recently, in [SINUM, 40 (2002), pp.1207-1229] Bänsch, Morin and Nochetto introduced an adaptive Uzawa FEM for solving the Stokes problem, and showed its convergence. In their paper, numerical experimen...

Sensors & Transducers Journal (ISSN 1726-5479) is a peer review international journal published monthly online by International Frequency Sensor Association (IFSA). Available in electronic and CD-ROM. Abstract: Porous silicon (PS) sensor based on capacitive technique used for measuring relative humidity has the advantages of low cost, ease of fabrication with controlled structure and CMOS compa...

in this paper we show that if q is a power of a prime p , then the projective special linear group psl(2, q) and the stabilizer of a point of the projective line have maximum sum element orders among all proper subgroups of projective general linear group pgl(2, q) for q odd and even respectively

The impact of adaptive mesh-refinement in computational partial differential equations cannot be overestimated, and convergence with optimal rates has mathematically been proved for certain model problems. We aim at a simultaneous axiomatic presentation of the proof of optimal convergence rates for adaptive finite element methods as well as boundary element methods in the spirit of [1]. For thi...

A new concept is introduced for the adaptive finite element discretization of partial differential equations that have a sparsely representable solution. Motivated by recent work on compressed sensing, a recursive mesh refinement procedure is presented that uses linear programming to find a good approximation to the sparse solution on a given refinement level. Then only those parts of the mesh ...

A new concept is introduced for the adaptive finite element discretization of partial differential equations that have a sparsely representable solution. Motivated by recent work on compressed sensing, a recursive mesh refinement procedure is presented that uses linear programming to find a good approximation to the sparse solution on a given refinement level. Then only those parts of the mesh ...

The performance of a linear, discrete high performance track following controller in a hard disk drive is improved for its disturbance rejection by augmentation of a discrete non-linear, adaptive neural network (NN) element. The neural network element is deemed to be particularly effective for rejection of bias forces, such as friction. Theoretical and experimental results have been obtained. I...

A preliminary study of p-refinement with vector finite elements is reported. Results suggest that improved accuracy can be obtained from representations employing a mixture of polynomial orders instead of a uniform polynomial order. Results also suggest that it might be possible to jump directly from the local error in a p=0 expansion to a final representation employing 5 or more polynomial ord...

Global navigation satellite system (GNSS) is designed to serve both civilian and military applications. However, the GNSS performance suffers from several errors, such as ionosphere delay, troposphere delay, ephemeris error, and receiver noise and multipath. Among these errors, the multipath is one of the most unpredictable error sources in high-accuracy navigation. This paper applies a modifie...

A new concept is introduced for the adaptive finite element discretization of partial differential equations that have a sparsely representable solution. Motivated by recent work on compressed sensing, a recursive mesh refinement procedure is presented that uses linear programming to find a good approximation to the sparse solution on a given refinement level. Then only those parts of the mesh ...