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Analysis of penalty parameters for interior penalty Galerkin methods

open access: greenCOMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 2019
Purpose The purpose of this paper is to analyse the influence of penalty parameters for an interior penalty Galerkin method, namely, the symmetric interior penalty Galerkin method. Design/methodology/approach First of all, the solution of a simple model problem is computed and compared to the exact solution, which is a periodic function. Afterwards,
Sebastian Straßer, H.-G. Herzog
openalex   +3 more sources

The Improved Element-Free Galerkin Method for 3D Helmholtz Equations

open access: yesMathematics, 2021
The improved element-free Galerkin (IEFG) method is proposed in this paper for solving 3D Helmholtz equations. The improved moving least-squares (IMLS) approximation is used to establish the trial function, and the penalty technique is used to enforce ...
Heng Cheng, Miaojuan Peng
doaj   +1 more source

Influence of Soil Heterogeneity on the Contact Problems in Geotechnical Engineering

open access: yesApplied Sciences, 2021
Contact problems are widely encountered in geotechnical engineering, such as the contact between soils and concrete used in earth and rockfill dams, tunnels and coastal levees.
Hao Gu, Kang Liu
doaj   +1 more source

Trust-Region Based Penalty Barrier Algorithm for Constrained Nonlinear Programming Problems: An Application of Design of Minimum Cost Canal Sections

open access: yesMathematics, 2021
In this paper, a penalty method is used together with a barrier method to transform a constrained nonlinear programming problem into an unconstrained nonlinear programming problem.
Bothina El-Sobky   +3 more
doaj   +1 more source

Penalty Virtual Element Method for the 3D Incompressible Flow on Polyhedron Mesh

open access: yesEntropy, 2022
In this paper, a penalty virtual element method (VEM) on polyhedral mesh for solving the 3D incompressible flow is proposed and analyzed. The remarkable feature of VEM is that it does not require an explicit computation of the trial and test space ...
Lulu Li, Haiyan Su, Yinnian He
doaj   +1 more source

Numerical Analysis and Comparison of Four Stabilized Finite Element Methods for the Steady Micropolar Equations

open access: yesEntropy, 2022
In this paper, four stabilized methods based on the lowest equal-order finite element pair for the steady micropolar Navier–Stokes equations (MNSE) are presented, which are penalty, regular, multiscale enrichment, and local Gauss integration methods.
Jingnan Liu, Demin Liu
doaj   +1 more source

Partially-Connected Hybrid Beamforming for Multi-User Massive MIMO Systems

open access: yesIEEE Access, 2020
Due to the high power consumption and hardware cost of radio frequency (RF) chains, the conventional fully-digital beamforming will be impractical for large-scale antenna systems (LSAS).
Guangda Zang   +4 more
doaj   +1 more source

Modification of Non-Linear Constrained Optimization [PDF]

open access: yesAl-Rafidain Journal of Computer Sciences and Mathematics, 2004
In this paper we have investigated a new initial parameter, the new parameter is to make balance between interior suitable for inequality constrained exterior method (suitable for equality and inequality constrained) for non-linear constrained ...
Ban Mitras
doaj   +1 more source

A modular extension of a finite element contact implementation

open access: yesActa Polytechnica CTU Proceedings, 2022
The structural mechanics module of the OOFEM finite element software has been developed to include various algorithms for solving contact mechanics problems.
Ondřej Faltus, Martin Horák
doaj   +1 more source

Relaxed I-SHOT trust-region algorithm for solving multi-objective economic emission load dispatch problem

open access: yesJournal of Taibah University for Science, 2018
In this paper, a new algorithm for tackling nonlinear constrained multi-objective optimization problems is introduced. This algorithm, which we call relaxed the interactive sequential hybrid optimization technique (relaxed I-SHOT), is based on a hybrid ...
B. El-sobky   +3 more
doaj   +1 more source

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