Mixed Finite Element Methods for the Fully Nonlinear Monge–Ampère Equation Based on the Vanishing Moment Method

Xiaobing Feng; Michael Neilan

doi:10.1137/070710378

Mixed Finite Element Methods for the Fully Nonlinear Monge–Ampère Equation Based on the Vanishing Moment Method

SIAM Journal on Numerical Analysis ◽

10.1137/070710378 ◽

2009 ◽

Vol 47 (2) ◽

pp. 1226-1250 ◽

Cited By ~ 44

Author(s):

Xiaobing Feng ◽

Michael Neilan

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Moment Method ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Fully Nonlinear ◽

Vanishing Moment ◽

Monge Ampere ◽

Vanishing Moment Method

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Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.07.023 ◽

2014 ◽

Vol 68 (12) ◽

pp. 2182-2204 ◽

Cited By ~ 1

Author(s):

Xiaobing Feng ◽

Michael Neilan

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Moment Method ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Fully Nonlinear ◽

Finite Element Approximations ◽

Vanishing Moment ◽

Vanishing Moment Method

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Mixed Finite Element Methods with Applications to Flow and Other Problems.

10.21236/ada127751 ◽

1983 ◽

Author(s):

Max D. Gunzburger

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods

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Mixed finite element methods for geometric modeling using general fourth order geometric flows

Computer Aided Geometric Design ◽

10.1016/j.cagd.2008.12.004 ◽

2009 ◽

Vol 26 (4) ◽

pp. 378-395 ◽

Cited By ~ 5

Author(s):

Guoliang Xu

Keyword(s):

Finite Element ◽

Fourth Order ◽

Finite Element Methods ◽

Geometric Modeling ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Geometric Flows

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Analysis of Fully Discrete Mixed Finite Element Methods for Time-dependent Stochastic Stokes Equations with Multiplicative Noise

Journal of Scientific Computing ◽

10.1007/s10915-021-01546-4 ◽

2021 ◽

Vol 88 (2) ◽

Author(s):

Xiaobing Feng ◽

Hailong Qiu

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Multiplicative Noise ◽

Stokes Equations ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Time Dependent ◽

Fully Discrete

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Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data

Journal of Scientific Computing ◽

10.1007/s10915-012-9666-8 ◽

2013 ◽

Vol 56 (1) ◽

pp. 131-164 ◽

Cited By ~ 9

Author(s):

Deepjyoti Goswami ◽

Amiya K. Pani ◽

Sangita Yadav

Keyword(s):

Finite Element ◽

Initial Data ◽

Differential Equations ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Optimal Error Estimates ◽

Optimal Error ◽

Nonsmooth Initial Data

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Richardson extrapolation and defect correction of mixed finite element methods for integro-differential equations in porous media

Applications of Mathematics ◽

10.1007/s10492-008-0011-3 ◽

2008 ◽

Vol 53 (1) ◽

pp. 13-39 ◽

Cited By ~ 2

Author(s):

Shanghui Jia ◽

Deli Li ◽

Tang Liu ◽

Shuhua Zhang

Keyword(s):

Finite Element ◽

Porous Media ◽

Differential Equations ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Richardson Extrapolation ◽

Mixed Finite Element Methods ◽

Defect Correction

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Mixed finite element methods for compressible miscible displacement in porous media

Mathematics of Computation ◽

10.1090/s0025-5718-1991-1094942-7 ◽

1991 ◽

Vol 57 (196) ◽

pp. 507-507 ◽

Cited By ~ 17

Author(s):

So-Hsiang Chou ◽

Qian Li

Keyword(s):

Finite Element ◽

Porous Media ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Miscible Displacement ◽

Mixed Finite Element Methods ◽

Compressible Miscible Displacement

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Error Reduction, Convergence and Optimality for Adaptive Mixed Finite Element Methods for Diffusion Equations

Journal of Computational Mathematics ◽

10.4208/jcm.1112-m3480 ◽

2012 ◽

Vol 30 (5) ◽

pp. 483-503 ◽

Cited By ~ 2

Author(s):

Shaohong Du and Xiaoping Xie

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Error Reduction ◽

Mixed Finite Element Methods ◽

Diffusion Equations ◽

Convergence And Optimality

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Mixed Finite Element Methods for the Semiconductor Device Equations

Numerical Mathematics Singapore 1988 - International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique ◽

10.1007/978-3-0348-6303-2_28 ◽

1988 ◽

pp. 349-356

Author(s):

John J. H. Miller

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Semiconductor Device ◽

Mixed Finite Element ◽

Mixed Finite Element Methods

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SharpL2-Error Estimates and Superconvergence of Mixed Finite Element Methods for Non-Fickian Flows in Porous Media

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900378406 ◽

2002 ◽

Vol 40 (4) ◽

pp. 1538-1560 ◽

Cited By ~ 42

Author(s):

Richard E. Ewing ◽

Yanping Lin. ◽

Tong Sun. ◽

Junping Wang. ◽

Shuhua Zhang

Keyword(s):

Finite Element ◽

Porous Media ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Flows In Porous Media

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