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Mesh Quality and More Detailed Error Estimates of Finite Element Method
Yunqing Huang, Liupeng Wang, Nianyu Yi
2020-11-03
DOI:10.4208/nmtma.2017.s10
39408
2622
pp. 420-436
A Posteriori Error Estimates of Mixed Methods for Quadratic Optimal Control Problems Governed by Parabolic Equations
Tianliang Hou, Yanping Chen, Yunqing Huang
2011-04-01
DOI:10.4208/nmtma.2011.m1017
42031
3681
pp. 439-458
Fully Discrete $H$1-Galerkin Mixed Finite Element Methods for Parabolic Optimal Control Problems
Tianliang Hou, Chunmei Liu, Hongbo Chen
2018-09-18
DOI:10.4208/nmtma.2019.m1623
41328
4321
pp. 134-153
Error Estimates and Superconvergence of RT0 Mixed Methods for a Class of Semilinear Elliptic Optimal Control Problems
Yanping Chen, Tianliang Hou
2013-06-01
DOI:10.4208/nmtma.2013.1230nm
40335
3547
pp. 637-656
Superconvergence and $L^∞$-Error Estimates of the Lowest Order Mixed Methods for Distributed Optimal Control Problems Governed by Semilinear Elliptic Equations
Tianliang Hou
2013-06-01
DOI:10.4208/nmtma.2013.1133nm
38545
3858
pp. 479-498
Recovery Type a Posteriori Error Estimates of Fully Discrete Finite Element Methods for General Convex Parabolic Optimal Control Problems
Yuelong Tang, Yanping Chen
2012-05-01
DOI:10.4208/nmtma.2012.m1117
42246
3826
pp. 573-591
Superconvergence and $L^{\infty}$-Error Estimates of RT1 Mixed Methods for Semilinear Elliptic Control Problems with an Integral Constraint
Yanping Chen, Tianliang Hou
2012-05-01
DOI:10.4208/nmtma.2012.m1118
39791
3695
pp. 423-446
Linearized Transformed $L1$ Galerkin FEMs with Unconditional Convergence for Nonlinear Time Fractional Schrödinger Equations
Wanqiu Yuan, Dongfang Li, Chengjian Zhang
2023-04-10
DOI:10.4208/nmtma.OA-2022-0087
39611
3016
pp. 348-369
Residual Based a Posteriori Error Estimates for Convex Optimal Control Problems Governed by Stokes-Darcy Equations
Ming Cui, Ningning Yan
2012-05-01
DOI:10.4208/nmtma.2012.m1113
41168
3622
pp. 602-634
Stability and Optimal Error Estimates Analysis of an LDG Method for the Stochastic Nonlinear KdV Equation
Xuewei Liu, Zhenyu Wang, Xiaohua Ding, Shao-Liang Zhang
2025-12-23
DOI:10.4208/nmtma.OA-2025-0080
520
198
pp. 192-218
Higher Order Triangular Mixed Finite Element Methods for Semilinear Quadratic Optimal Control Problems
Kang Deng, Yanping Chen, Zuliang Lu
2011-04-01
DOI:10.4208/nmtma.2011.42s.4
40417
3691
pp. 180-196
A Priori and a Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation
Ningning Yan, Zhaojie Zhou
2008-01-01
39380
3653
pp. 297-320
A Review of Unified a Posteriori Finite Element Error Control
C. Carstensen, M. Eigel, R. H. W. Hoppe, C. Loebhard
2012-05-01
DOI:10.4208/nmtma.2011.m1032
45120
4510
pp. 509-558
Open Access
Unconditional Convergence of Linearized TL1 Difference Methods for a Time-Fractional Coupled Nonlinear Schrödinger System
Min Li, Dongfang Li, Ju Ming, A. S. Hendy
2025-04-06
DOI:10.4208/nmtma.OA-2024-0095
7147
786
pp. 1-30
The Plane Wave Discontinuous Galerkin Method Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media
Long Yuan
2018-12-17
DOI:10.4208/nmtma.OA-2017-0139
41597
2795
pp. 517-546
A Posteriori Error Control for Three Typical Force-Based Atomistic-to-Continuum Coupling Methods for an Atomistic Chain
Hao Wang, Shaohui Liu, Feng Yang
2018-09-18
DOI:10.4208/nmtma.OA-2017-0094
41236
4474
pp. 233-264
Alternating Direction Finite Volume Element Methods for Three-Dimensional Parabolic Equations
Tongke Wang
2010-03-01
DOI:10.4208/nmtma.2010.m99027
41886
4217
pp. 499-522
A Fast Compact Block-Centered Finite Difference Method on Graded Meshes for Time-Fractional Reaction-Diffusion Equations and Its Robust Analysis
Li Ma, Hongfei Fu, Bingyin Zhang, Shusen Xie
2024-05-11
DOI:10.4208/nmtma.OA-2023-0108
21593
1691
pp. 429-462
An Accurate Numerical Scheme for Mean-Field Forward and Backward SDEs with Jumps
Yabing Sun, Jie Yang, Weidong Zhao
2024-02-26
DOI:10.4208/nmtma.OA-2023-0048
23819
2366
pp. 243-274
Convergence of Weak Galerkin Finite Element Method for Second Order Linear Wave Equation in Heterogeneous Media
Bhupen Deka, Papri Roy, Naresh Kumar, Raman Kumar
2023-04-10
DOI:10.4208/nmtma.OA-2021-0080
38300
2867
pp. 323-347
Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints
Yue Shen, Chang Jin
2020-03-09
DOI:10.4208/nmtma.OA-2019-0016
44978
2820
pp. 400-432
Mixed Finite Element Methods for Fourth Order Elliptic Optimal Control Problems
K. Manickam, P. Prakash
2016-09-01
DOI:10.4208/nmtma.2016.m1405
39984
2883
pp. 528-548
Finite Element Approximation of Semilinear Parabolic Optimal Control Problems
Hongfei Fu, Hongxing Rui
2011-04-01
DOI:10.4208/nmtma.2011.m1020
41809
3799
pp. 489-504
Spectral Method for Nonlinear Stochastic Partial Differential Equations of Elliptic Type
Yanzhao Cao, Li Yin
2011-04-01
DOI:10.4208/nmtma.2011.m99040
40608
4575
pp. 38-52
A Modified Polynomial Preserving Recovery and Its Applications to a Posteriori Error Estimates
Haijun Wu
2018-08-14
DOI:10.4208/nmtma.2009.m9006
39485
4236
pp. 53-78
Generalized Normal Derivatives and Their Applications in DDMs with Nonmatching Grids and DG Methods
Qiya Hu
2008-01-01
39542
3705
pp. 383-409
Stability and Error Analysis of SAV Semi-Discrete Scheme for Cahn-Hilliard-Navier-Stokes Model
Haijun Gao, Xi Li, Minfu Feng
2025-04-06
DOI:10.4208/nmtma.OA-2024-0050
7199
733
pp. 66-102
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