Energy Conserving Galerkin Finite Element Methods for the Maxwell--Klein--Gordon System

Chupeng Ma; Liqun Cao; Yanping Lin

doi:10.1137/17m1158690

Energy Conserving Galerkin Finite Element Methods for the Maxwell--Klein--Gordon System

SIAM Journal on Numerical Analysis ◽

10.1137/17m1158690 ◽

2020 ◽

Vol 58 (2) ◽

pp. 1339-1366

Author(s):

Chupeng Ma ◽

Liqun Cao ◽

Yanping Lin

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Galerkin Finite Element ◽

Energy Conserving ◽

Galerkin Finite Element Methods ◽

Klein Gordon

Download Full-text

Galerkin finite element methods for the generalized Klein–Gordon–Zakharov equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.07.028 ◽

2017 ◽

Vol 74 (10) ◽

pp. 2466-2484 ◽

Cited By ~ 1

Author(s):

Yali Gao ◽

Liquan Mei ◽

Rui Li

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Klein Gordon

Download Full-text

Recent Advances in Least-Squares and Discontinuous Petrov–Galerkin Finite Element Methods

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.05.029 ◽

2021 ◽

Vol 95 ◽

pp. 1-3

Author(s):

Fleurianne Bertrand ◽

Leszek Demkowicz ◽

Jay Gopalakrishnan

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Galerkin Finite Element ◽

Recent Advances ◽

Galerkin Finite Element Methods

Download Full-text

Application of hp-discontinuous Galerkin finite element methods to the rotating disk electrode problems in electrochemistry

Journal of Applied Mathematics and Computing ◽

10.1007/bf02896457 ◽

2006 ◽

Vol 22 (1-2) ◽

pp. 1-20 ◽

Cited By ~ 2

Author(s):

Daniel Okuonghae

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Rotating Disk ◽

Rotating Disk Electrode ◽

Disk Electrode ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

Download Full-text

Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20215 ◽

2007 ◽

Vol 23 (5) ◽

pp. 1149-1166 ◽

Cited By ~ 22

Author(s):

Béatrice Rivière ◽

Simon Shaw ◽

J.R. Whiteman

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

Download Full-text

Convergence of linearized backward Euler–Galerkin finite element methods for the time-dependent Ginzburg–Landau equations with temporal gauge

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.847929 ◽

2013 ◽

Vol 91 (7) ◽

pp. 1507-1515

Author(s):

Chaoxia Yang

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Time Dependent ◽

Ginzburg Landau ◽

Galerkin Finite Element ◽

Temporal Gauge ◽

Backward Euler ◽

Galerkin Finite Element Methods ◽

Ginzburg Landau Equations

Download Full-text

Lowest-Order Weak Galerkin Finite Element Methods for Linear Elasticity on Rectangular and Brick Meshes

Journal of Scientific Computing ◽

10.1007/s10915-018-0837-0 ◽

2018 ◽

Vol 78 (3) ◽

pp. 1917-1941 ◽

Cited By ~ 4

Author(s):

Graham Harper ◽

Jiangguo Liu ◽

Simon Tavener ◽

Bin Zheng

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Linear Elasticity ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods

Download Full-text

Low Regularity Error Analysis for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2020-0120 ◽

2021 ◽

Vol 14 (3) ◽

pp. 613-623

Author(s):

Xiu Ye & Shangyou Zhang

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Low Regularity ◽

Galerkin Finite Element Methods ◽

Second Order Elliptic Problems

Download Full-text

Implicit–Explicit Backward Difference Formulae Discontinuous Galerkin Finite Element Methods for Convection–Diffusion Problems

Numerical Mathematics and Advanced Applications 2009 ◽

10.1007/978-3-642-11795-4_99 ◽

2010 ◽

pp. 921-928

Author(s):

Miloslav Vlasák ◽

Vít Dolejší

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Galerkin Finite Element ◽

Convection Diffusion ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods ◽

Diffusion Problems

Download Full-text

hp–Adaptive Two-Grid Discontinuous Galerkin Finite Element Methods for Quasi-Newtonian Fluid Flows

Numerical Mathematics and Advanced Applications 2011 ◽

10.1007/978-3-642-33134-3_37 ◽

2012 ◽

pp. 341-349

Author(s):

S. Congreve ◽

P. Houston ◽

T. P. Wihler

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Newtonian Fluid ◽

Finite Element Methods ◽

Fluid Flows ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

Download Full-text

Error estimates in weak Galerkin finite element methods for parabolic equations under low regularity assumptions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.12.003 ◽

2021 ◽

Vol 162 ◽

pp. 81-105

Author(s):

Bhupen Deka ◽

Naresh Kumar

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Parabolic Equations ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Low Regularity ◽

Galerkin Finite Element Methods

Download Full-text