Error estimates for a finite volume element method for parabolic equations in convex polygonal domains

P. Chatzipantelidis; R. D. Lazarov; V. Thomée

doi:10.1002/num.20006

Error estimates for a finite volume element method for parabolic equations in convex polygonal domains

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20006 ◽

2004 ◽

Vol 20 (5) ◽

pp. 650-674 ◽

Cited By ~ 68

Author(s):

P. Chatzipantelidis ◽

R. D. Lazarov ◽

V. Thomée

Keyword(s):

Error Estimates ◽

Finite Volume ◽

Parabolic Equations ◽

Volume Element ◽

Finite Volume Element Method ◽

Polygonal Domains ◽

Finite Volume Element ◽

Element Method

Download Full-text

Error Estimates for a Finite Volume Element Method for Elliptic PDEs in Nonconvex Polygonal Domains

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142903427639 ◽

2005 ◽

Vol 42 (5) ◽

pp. 1932-1958 ◽

Cited By ~ 20

Author(s):

P. Chatzipantelidis ◽

R. D. Lazarov

Keyword(s):

Error Estimates ◽

Finite Volume ◽

Volume Element ◽

Elliptic Pdes ◽

Finite Volume Element Method ◽

Polygonal Domains ◽

Finite Volume Element ◽

Element Method

Download Full-text

Two-Grid Finite Volume Element Method Combined with Crank-Nicolson Scheme for Semilinear Parabolic Equations

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2020-0064 ◽

2021 ◽

Vol 13 (4) ◽

pp. 892-913

Author(s):

global sci

Keyword(s):

Finite Volume ◽

Parabolic Equations ◽

Volume Element ◽

Semilinear Parabolic Equations ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Nicolson Scheme ◽

Semilinear Parabolic ◽

Element Method ◽

Crank Nicolson

Download Full-text

THE FINITE VOLUME ELEMENT METHOD FOR ELLIPTIC AND PARABOLIC EQUATIONS

Numerical Analysis ◽

10.1142/9789812812872_0019 ◽

1996 ◽

pp. 271-289 ◽

Cited By ~ 1

Author(s):

THOMAS F. RUSSELL ◽

RICK V. TRUJILLO

Keyword(s):

Finite Volume ◽

Parabolic Equations ◽

Volume Element ◽

Finite Volume Element Method ◽

Elliptic And Parabolic Equations ◽

Finite Volume Element ◽

Element Method

Download Full-text

Some error estimates of finite volume element method for parabolic optimal control problems

Optimal Control Applications and Methods ◽

10.1002/oca.2059 ◽

2012 ◽

Vol 35 (2) ◽

pp. 145-165 ◽

Cited By ~ 9

Author(s):

Xianbing Luo ◽

Yanping Chen ◽

Yunqing Huang ◽

Tianliang Hou

Keyword(s):

Optimal Control ◽

Error Estimates ◽

Finite Volume ◽

Optimal Control Problems ◽

Volume Element ◽

Control Problems ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Parabolic Optimal Control ◽

Element Method

Download Full-text

Some new error estimates of a semidiscrete finite volume element method for a parabolic integro-differential equation with nonsmooth initial data

SIAM Journal on Numerical Analysis ◽

10.1137/040612099 ◽

2006 ◽

Vol 43 (6) ◽

pp. 2320-2343 ◽

Cited By ~ 22

Author(s):

Rajen K. Sinha ◽

Richard E. Ewing ◽

Raytcho D. Lazarov

Keyword(s):

Differential Equation ◽

Initial Data ◽

Error Estimates ◽

Finite Volume ◽

Volume Element ◽

Finite Volume Element Method ◽

Integro Differential Equation ◽

Finite Volume Element ◽

Nonsmooth Initial Data ◽

Element Method

Download Full-text

L2 error estimation of a quadratic finite volume element method for pseudo-parabolic equations in three spatial dimensions

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.01.004 ◽

2012 ◽

Vol 218 (13) ◽

pp. 7270-7278 ◽

Cited By ~ 1

Author(s):

Min Yang

Keyword(s):

Error Estimation ◽

Finite Volume ◽

Parabolic Equations ◽

Volume Element ◽

Finite Volume Element Method ◽

Spatial Dimensions ◽

Finite Volume Element ◽

Element Method

Download Full-text

Error estimates of finite volume element method for the pollution in groundwater flow

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20340 ◽

2009 ◽

Vol 25 (2) ◽

pp. 259-274 ◽

Cited By ~ 20

Author(s):

Zhiyue Zhang

Keyword(s):

Groundwater Flow ◽

Error Estimates ◽

Finite Volume ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Element Method

Download Full-text

Cubic superconvergent finite volume element method for one-dimensional elliptic and parabolic equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.10.013 ◽

2010 ◽

Vol 233 (9) ◽

pp. 2285-2301 ◽

Cited By ~ 9

Author(s):

Guanghua Gao ◽

Tongke Wang

Keyword(s):

Finite Volume ◽

Parabolic Equations ◽

Volume Element ◽

Finite Volume Element Method ◽

One Dimensional ◽

Elliptic And Parabolic Equations ◽

Finite Volume Element ◽

Element Method

Download Full-text

Bilinear immersed finite volume element method for solving matrix coefficient elliptic interface problems with non-homogeneous jump conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.12.016 ◽

2021 ◽

Vol 86 ◽

pp. 1-15

Author(s):

Quanxiang Wang ◽

Jianqiang Xie ◽

Zhiyue Zhang ◽

Liqun Wang

Keyword(s):

Finite Volume ◽

Volume Element ◽

Interface Problems ◽

Matrix Coefficient ◽

Jump Conditions ◽

Finite Volume Element Method ◽

Elliptic Interface Problems ◽

Finite Volume Element ◽

Element Method

Download Full-text

On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900368873 ◽

2002 ◽

Vol 39 (6) ◽

pp. 1865-1888 ◽

Cited By ~ 185

Author(s):

Richard E. Ewing ◽

Tao Lin ◽

Yanping Lin

Keyword(s):

Finite Volume ◽

Piecewise Linear ◽

Volume Element ◽

Finite Volume Element Method ◽

Finite Volume Element ◽

Element Method ◽

Linear Polynomials

Download Full-text