CONVERGENT

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A UNIFORM CONVERGENT PETROV-GALERKIN METHOD FOR A CLASS OF TURNING POINT PROBLEMS
《Journal of Computational Mathematics》2024年第5期1356-1379,共24页Li Feng Zhongyi Huang 
supported by the NSFC(Grant No.12025104).
In this paper,we propose a numerical method for turning point problems in one dimension based on Petrov-Galerkin finite element method(PGFEM).We first give a priori estimate for the turning point problem with a single...
关键词：Turning point problem Petrov-Galerkin finite element method Uniform convergency 
SECOND ORDER UNCONDITIONALLY STABLE AND CONVERGENT LINEARIZED SCHEME FOR A FLUID-FLUID INTERACTION MODEL
《Journal of Computational Mathematics》2023年第1期72-93,共22页Wei Li Pengzhan Huang Yinnian He 
supported by the Natural Science Foundation of China(grant numbers 11861067 and 11771348);Natural Science Foundation of Xinjiang Province(grant number 2021D01E11).
In this paper,a fully discrete finite element scheme with second-order temporal accuracy is proposed for a fluid-fluid interaction model,which consists of two Navier-Stokes equations coupled by a linear interface cond...
关键词：Fluid-fluid interaction model Unconditional stability Second order temporal accuracy Error estimate 
A SECOND ORDER UNCONDITIONALLY CONVERGENT FINITE ELEMENT METHOD FOR THE THERMAL EQUATION WITH JOULE HEATING PROBLEM
《Journal of Computational Mathematics》2022年第3期354-372,共19页Xiaonian Long Qianqian Ding 
In this paper,we study the finite element approximation for nonlinear thermal equation.Because the nonlinearity of the equation,our theoretical analysis is based on the error of temporal and spatial discretization.We ...
关键词：Thermal equation Joule heating Finite element method Unconditional convergence Second order backward difference formula Optimal L^(2)-estimate 
A MIXED FINITE ELEMENT METHOD FOR MULTI-CAVITY COM PUTATION IN INCOMPRESSIBLE NONLINEAR ELASTICITY
《Journal of Computational Mathematics》2019年第5期609-628,共20页Weijie Huang Zhiping Li 
A mixed finite element method combining an iso-parametric Q 2-P 1 element and an isoparametric P^-Pi element is developed for the computation of multiple cavities in incompressible nonlinear elasticity. The method is ...
关键词：Multiple CAVITATION computation INCOMPRESSIBLE nonlinear ELASTICITY Mixed finite element method LOCKING-FREE CONVERGENT 
UNIFORMLY CONVERGENT NONCONFORMING TETRAHEDRAL ELEMENT FOR DARCY-STOKES PROBLEM
《Journal of Computational Mathematics》2019年第1期130-150,共21页Lina Dong Shaochun Chen 
the National Natural Science Foundation of China (No.11071226).
In this paper,we construct a tetrahedral element named DST20 for the three dimensional Darcy-Stokes problem,which reduces the degrees of velocity in [30].The finite element space Vh for velocity is H(div)-conforming,i...
关键词：Darcy-Stokes PROBLEM Mixed FINITE elements TETRAHEDRAL element UNIFORMLY CONVERGENT 
LINEARLY CONVERGENT FIRST-ORDER ALGORITHMS FOR SEMIDEFINITE PROGRAMMING
《Journal of Computational Mathematics》2017年第4期452-468,共17页Cong D. Dang Guanghui Lan Zaiwen Wen 
In this paper, we consider two different formulations （one is smooth and the other one is nonsmooth） for solving linear matrix inequalities （LMIs）, an important class of semidefinite programming （SDP）, under a c...
关键词：Semi-definite Programming Linear Matrix Inequalities Error Bounds Linear Convergence 
FINITE ELEMENT ANALYSIS OF A LOCAL EXPONENTIALLYFITTED SCHEME FOR TIME-DEPENDENTCONVECTION-DIFFUSION PROBLEMS
《Journal of Computational Mathematics》1999年第3期225-232,共8页Yue, XY Jiang, LS Shih, TM 
In [16], Stynes and O' Riordan(91) introduced a local exponentially fitted finite element (FE) scheme for a singularly perturbed two-point boundary value problem without turning-point. An E-uniform h(1/2)-order accura...
关键词：singularly perturbed exponentially fitted uniformly in epsilon convergent Petrov-Galerkin finite element method 
A CLASS OF MODIFIED BROYDEN ALGORITHMS被引量：6
《Journal of Computational Mathematics》1994年第4期366-379,共14页PU, DG TIAN, WW 
In this paper we dicuss the convergence of the modified Broyden algorithms. We prove that the algorithms are globally convergent for the continuous differentiable function and the rate of convergence of the algorithms...
关键词：CLASS Powell FLETCHER BFGS minimization CONVERGENT constrained DEMON EXACT symmetric 
ON THE CONVERGENCE OF THE BRENT METHOD
《Journal of Computational Mathematics》1994年第1期1-20,共20页WANG, DR HUANG, ZJ 
In this paper, we establish the semi-local convergence theorem of the rent method with regional estimation. By an in-depth investigation in to the algorithm structure of the method, we convert the Brent method into an...
关键词：holds CHOICE VERGENCE CONVERGENT ELIMINATION otherwise Brent Dennis Cornell APPROXIMATE 
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