ON THE SOLVABILITY OF THE NONLINEAR PROBLEMS IN AN ALGEBRAICALLY STABILIZED FINITE ELEMENT METHOD FOR EVOLUTIONARY TRANSPORT-DOMINATED EQUATIONS

被引：5

作者：

John, Volker ^{[1
,2
]}

Knobloch, Petr ^{[3
]}

Korsmeier, Paul ^{[2
]}

机构：

[1] Leibniz Inst Forsch Verbund Berlin eV WIAS, Weierstrass Inst Appl Anal & Stochast, Mohrenstr 39, D-10117 Berlin, Germany

[2] Free Univ Berlin, Dept Math & Comp Sci, Arnimallee 6, D-14195 Berlin, Germany

[3] Charles Univ Prague, Dept Numer Math, Fac Math & Phys, Sokolovska 83, Prague 18675 8, Czech Republic

来源：

MATHEMATICS OF COMPUTATION | 2021年 / 90卷 / 328期

关键词：

FLUX-CORRECTION; MAXIMUM-PRINCIPLE; FEM-FCT; DIFFUSION; APPROXIMATIONS; ALGORITHMS; SCHEMES;

D O I：

10.1090/mcom/3576

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The so-called FEM-FCT (finite element method flux-corrected transport) scheme for evolutionary scalar convection-dominated equations leads in each time instant to a nonlinear problem. For sufficiently small time steps, the existence and uniqueness of a solution of these problems is shown. Moreover, the convergence of a semi-smooth Newton's method is studied.

引用

页码：595 / 611

页数：17

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