High accuracy analysis of a new nonconforming mixed finite element scheme for Sobolev equations

Applied Mathematics and Computation ◽

10.1016/j.amc.2011.08.054 ◽

2011 ◽

Vol 218 (7) ◽

pp. 3176-3186 ◽

Author(s):

Dongyang Shi ◽

Yadong Zhang

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

High Accuracy ◽

Accuracy Analysis ◽

Finite Element Scheme ◽

Element Scheme ◽

Sobolev Equations

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A Mixed Finite Element Scheme for Quad-Curl Source and Eigenvalue Problems

Communications in Computational Physics ◽

10.4208/cicp.oa-2020-0108 ◽

2021 ◽

Vol 29 (4) ◽

pp. 1125-1151

Author(s):

Huangxin Chen

Keyword(s):

Finite Element ◽

Eigenvalue Problems ◽

Mixed Finite Element ◽

Finite Element Scheme ◽

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On the convergence of a mixed finite element scheme for plate bending

Nuclear Engineering and Design ◽

10.1016/0029-5493(73)90006-x ◽

1973 ◽

Vol 24 (3) ◽

pp. 357-373 ◽

Author(s):

Fumio Kikuchi ◽

Yoshio Ando

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Plate Bending ◽

Finite Element Scheme ◽

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The lowest order characteristic mixed finite element scheme for convection-dominated diffusion problem

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.07.027 ◽

2014 ◽

Vol 68 (7) ◽

pp. 759-769 ◽

Author(s):

Dongyang Shi ◽

Xin Liao ◽

Lele Wang

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Diffusion Problem ◽

Finite Element Scheme ◽

Element Scheme ◽

Convection Dominated

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Optimal order convergence of a modified BDM1 mixed finite element scheme for reactive transport in porous media

Advances in Water Resources ◽

10.1016/j.advwatres.2011.10.001 ◽

2012 ◽

Vol 35 ◽

pp. 163-171 ◽

Author(s):

Fabian Brunner ◽

Florin A. Radu ◽

Markus Bause ◽

Peter Knabner

Keyword(s):

Finite Element ◽

Porous Media ◽

Reactive Transport ◽

Mixed Finite Element ◽

Optimal Order ◽

Order Convergence ◽

Finite Element Scheme ◽

Element Scheme ◽

Transport In Porous Media ◽

Optimal Order Convergence

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A High Accuracy Nonconforming Finite Element Scheme for Helmholtz Transmission Eigenvalue Problem

Journal of Scientific Computing ◽

10.1007/s10915-020-01247-4 ◽

2020 ◽

Vol 83 (3) ◽

Author(s):

Yingxia Xi ◽

Xia Ji ◽

Shuo Zhang

Keyword(s):

Finite Element ◽

Eigenvalue Problem ◽

High Accuracy ◽

Nonconforming Finite Element ◽

Finite Element Scheme ◽

Element Scheme ◽

Transmission Eigenvalue ◽

Transmission Eigenvalue Problem

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A new nonconforming mixed finite element scheme for the stationary Navier-Stokes equations

Acta Mathematica Scientia ◽

10.1016/s0252-9602(11)60238-5 ◽

2011 ◽

Vol 31 (2) ◽

pp. 367-382 ◽

Author(s):

Shi Dongyang ◽

Ren Jincheng ◽

Gong Wei

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Mixed Finite Element ◽

Navier Stokes ◽

Finite Element Scheme ◽

Navier Stokes Equations ◽

Element Scheme ◽

Stationary Navier Stokes Equations

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High accuracy analysis of the lowest order H1-Galerkin mixed finite element method for nonlinear sine-Gordon equations

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-017-0692-z ◽

2017 ◽

Vol 33 (3) ◽

pp. 699-708

Author(s):

Dong-yang Shi ◽

Fen-ling Wang ◽

Yan-min Zhao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

High Accuracy ◽

Accuracy Analysis ◽

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A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier–Stokes equations

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2011.01.026 ◽

2011 ◽

Vol 53 (9-10) ◽

pp. 1956-1969 ◽

Author(s):

Dongyang Shi ◽

Wei Gong ◽

Jincheng Ren

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Mixed Finite Element ◽

Second Order ◽

Navier Stokes ◽

Finite Element Scheme ◽

Navier Stokes Equations ◽

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A potential-hybrid/mixed finite element scheme for analysis of plates and cylindrical shells

Applied Mathematics and Mechanics ◽

10.1007/bf02014347 ◽

1990 ◽

Vol 11 (9) ◽

pp. 809-820 ◽

Author(s):

Chen Da-peing ◽

Pan Yi-su

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Cylindrical Shells ◽

Finite Element Scheme ◽

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Analysis of two-grid method for semi-linear elliptic equations by new mixed finite element scheme

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.10.108 ◽

2013 ◽

Vol 219 (9) ◽

pp. 4826-4835 ◽

Author(s):

Zhifeng Weng ◽

Xinlong Feng ◽

Shuying Zhai

Keyword(s):

Finite Element ◽

Elliptic Equations ◽

Mixed Finite Element ◽

Grid Method ◽

Finite Element Scheme ◽

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