Finite element approximations to an evolutionary variational inequality with a volterra term

被引：0

作者：

Nair, P ^{[1
]}

Pani, AK ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Bombay 400076, Maharashtra, India

来源：

TRENDS IN INDUSTRIAL AND APPLIED MATHEMATICS, PROCEEDINGS | 2002年 / 72卷

关键词：

evolutionary variational inequalities; Volterra term; penalty method; Galerkin approximation;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the first part of this paper, we briefly describe a mathematical model for the simulation of the injection moulding process of a plastic melt into a mould cavity. Using Baiocchi transformation, the problem is transformed into an evolutionary variational inequality with a Volterra term. Based on penalty method, existence, uniqueness and regularity results are discussed. Finally, a finite element Galerkin procedure is applied and a priori error estimates are derived.

引用

页码：317 / 337

页数：21

共 50 条

[31] The finite element method scheme for a solution of an evolution variational inequality with a nonlocal space operator
Glazyrina, O. V.
Pavlova, M. F.
11TH INTERNATIONAL CONFERENCE ON MESH METHODS FOR BOUNDRY-VALUE PROBLEMS AND APPLICATIONS, 2016, 158
[32] Error Estimate of Mixed Finite Element Approximation for a Fourth-order Variational Inequality
沈树民
苏州大学学报(自然科学), 1988, (04) : 483 - 488
[33] Finite element analysis of the duct flow of Bingham plastic fluids: An application of the variational inequality
Wang, Y
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1997, 25 (09) : 1025 - 1042
[34] An optimal scaling law for finite element approximations of a variational problem with non-trivial microstructure
Lorent, A
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2001, 35 (05): : 921 - 934
[35] Lotka–Volterra approximations for evolutionary trait-substitution processes
Hiroshi C. Ito
Ulf Dieckmann
Johan A. J. Metz
Journal of Mathematical Biology, 2020, 80 : 2141 - 2226
[36] Two-level variational multiscale finite element methods for Navier-Stokes type variational inequality problem
Li, Yuan
An, Rong
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 290 : 656 - 669
[37] Superconvergence of Finite Element Approximations to Eigenspaces
S. I. Solov'ev
Differential Equations, 2002, 38 : 752 - 753
[38] FINITE ELEMENT APPROXIMATIONS TO PARABOLIC PROBLEMS
FIX, GJ
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (02): : 380 - &
[39] MIXED FINITE-ELEMENT APPROXIMATIONS
ODEN, JT
REDDY, JN
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1976, 13 (03) : 393 - 404
[40] Finite element approximations in a nonLipschitz domain
Acosta, Gabriel
Armentano, Maria G.
Duran, Ricardo G.
Lombardi, Ariel L.
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 45 (01) : 277 - 295

← 1 2 3 4 5 →