Convergence of lattice gauge theory for Maxwell's equations

被引：4

作者：

Christiansen, Snorre H. ^{[1
]}

Halvorsen, Tore Gunnar ^{[1
]}

机构：

[1] Univ Oslo, Ctr Math Applicat, N-0316 Oslo, Norway

来源：

BIT NUMERICAL MATHEMATICS | 2009年 / 49卷 / 04期

关键词：

Maxwell's equations; Lattice gauge theory; The Yee-scheme; FINITE-ELEMENTS; QUARKS;

D O I：

10.1007/s10543-009-0242-z

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

In this article we prove convergence of Lattice Gauge Theory in the energy norm for electromagnetism, which corresponds to gauge group U(1). This is done by stability analysis and comparison with the classical Yee-scheme which is convergent.

引用

页码：645 / 667

页数：23

共 50 条

[41] A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations [J].

Hu, Qiya ;

Shu, Shi ;

Zou, Jun .

MATHEMATICS OF COMPUTATION, 2008, 77 (263) :1333-1353

[42] Stability and Convergence Analysis of a Domain Decomposition FE/FD Method for Maxwell's Equations in the Time Domain [J].

Asadzadeh, Mohammad ;

Beilina, Larisa .

ALGORITHMS, 2022, 15 (10)

[43] Maxwell's equations for structures with symmetries [J].

Weiland, T ;

Zagorodnov, I .

JOURNAL OF COMPUTATIONAL PHYSICS, 2002, 180 (01) :297-312

[44] A CONTROLLABILITY METHOD FOR MAXWELL’S EQUATIONS [J].

Chaumont-Frelet T. ;

Grote M.J. ;

Lanteri S. ;

Tang A.J.H. .

SIAM Journal on Scientific Computing, 2022, 44 (06) :A3700-A3727

[45] The solution of Maxwell's equations in multiphysics [J].

Bathe, Klaus-Juergen ;

Zhang, Hou ;

Yan, Yiguang .

COMPUTERS & STRUCTURES, 2014, 132 :99-112

[46] Maxwell's equations as mechanical law [J].

Nockel, Jens U. .

EUROPEAN JOURNAL OF PHYSICS, 2022, 43 (04)

[47] Maxwell's Equations: Continuous and Discrete [J].

Hiptmair, Ralf .

COMPUTATIONAL ELECTROMAGNETISM, 2015, 2148 :1-58

[48] On the semistatic limit for Maxwell's equations [J].

Jochmann, F .

PARTIAL DIFFERENTIAL EQUATIONS: THEORY AND NUMERICAL SOLUTION, 2000, 406 :187-198

[49] Mimetic discretizations for Maxwell's equations [J].

Hyman, JM ;

Shashkov, M .

JOURNAL OF COMPUTATIONAL PHYSICS, 1999, 151 (02) :881-909

[50] Global superconvergence for Maxwell's equations [J].

Lin, Q ;

Yan, NN .

MATHEMATICS OF COMPUTATION, 2000, 69 (229) :159-176

← 1 2 3 4 5 →