We present a construction of a gradient recovery operator based on an oblique projection, where the basis functions of two involved spaces satisfy a condition of biorthogonality. The biorthogonality condition guarantees that the recovery operator is local. 1. Introduction. One reason for the success of the finite element method for solving partial differential equations is that a reliable a pos...

Original scientific paper Aiming at the problems of selection parameter step-size and premature convergence that occurred when searching the local area in the optimal design of adaptive gradient projection algorithm in this paper, adaptive variable step-size mechanism strategy and adaptive variable step-size mechanism were established. They were introduced into the gradient projection algorithm...

This paper presents a new method for multiobjective optimisation based on gradient projection and local region search. The gradient projection is conducted through the identi®cation of normal vectors of an ecient frontier. The projection of the gradient of a nonlinear utility function onto the tangent plane of the ecient frontier at a given ef®cient solution leads to the de®nition of a feasib...

In neural networks, continual learning results in gradient interference among sequential tasks, leading to catastrophic forgetting of old tasks while new ones. This issue is addressed recent methods by storing the important spaces for and updating model orthogonally during tasks. However, such restrictive orthogonal updates hamper capability resulting sub-optimal performance. To improve minimiz...

This paper investigates the utility maximization problem for the downlink of the multi-interface multichannel wireless mesh network with orthogonal frequency division multiple access. A cross-layer joint power and multiple access control algorithm are proposed. Rosen projection matrix is combined with Solodov projection techniques to build a three-memory gradient Rosen projection method, which ...

In this work, we propose a surface fitting strategy based on a two-step model to remove noise from digital images. In the first step, we minimize the total variation energy functional of an image by using the projection gradient method in order to obtain the dual variable as the smoothed normal vector. In the second step, we try to find a surface as the recovered image to fit the smoothed norma...