A Finite Element Method for Nonlinear Elliptic Problems

SIAM Journal on Scientific Computing ◽

10.1137/120887655 ◽

2013 ◽

Vol 35 (4) ◽

pp. A2025-A2045 ◽

Cited By ~ 19

Author(s):

Omar Lakkis ◽

Tristan Pryer

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic ◽

Element Method

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On the Implementation of a Heterogeneous Multi-scale Finite Element Method for Nonlinear Elliptic Problems

Advances in DUNE ◽

10.1007/978-3-642-28589-9_11 ◽

2012 ◽

pp. 143-155

Author(s):

Patrick Henning ◽

Mario Ohlberger

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Nonlinear Elliptic Problems ◽

Multi Scale ◽

Nonlinear Elliptic ◽

Element Method

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Computable L∞ error estimates in the finite element method with applications to nonlinear elliptic problems

Contributions in Numerical Mathematics ◽

10.1142/9789812798886_0024 ◽

1993 ◽

pp. 309-319 ◽

Cited By ~ 4

Author(s):

Mitsuhiro T. Nakao

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Elliptic Problems ◽

The Finite Element Method ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic ◽

Element Method

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The effect of numerical integration in the finite element method for nonmonotone nonlinear elliptic problems with application to numerical homogenization methods

Comptes Rendus Mathematique ◽

10.1016/j.crma.2011.09.005 ◽

2011 ◽

Vol 349 (19-20) ◽

pp. 1041-1046 ◽

Cited By ~ 6

Author(s):

Assyr Abdulle ◽

Gilles Vilmart

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Integration ◽

Elliptic Problems ◽

Numerical Homogenization ◽

The Finite Element Method ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic ◽

Homogenization Methods ◽

Effect Of Numerical Integration

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Two-scale finite element method for nonselfadjoint elliptic problems with rapidly oscillatory coefficients

Applied Mathematics and Computation ◽

10.1016/s0096-3003(03)00292-3 ◽

2004 ◽

Vol 150 (2) ◽

pp. 585-601 ◽

Cited By ~ 2

Author(s):

Jinru Chen ◽

Junzhi Cui

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Element Method

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A stabilized discontinuous finite element method for elliptic problems

Numerical Linear Algebra with Applications ◽

10.1002/nla.313 ◽

2002 ◽

Vol 10 (1-2) ◽

pp. 83-104 ◽

Cited By ~ 17

Author(s):

Richard E. Ewing ◽

Junping Wang ◽

Yongjun Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Discontinuous Finite Element ◽

Discontinuous Finite Element Method ◽

Element Method

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Higher order meshless schemes applied to the finite element method in elliptic problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.10.016 ◽

2019 ◽

Vol 77 (3) ◽

pp. 779-802

Author(s):

Sławomir Milewski ◽

Roman Putanowicz

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Higher Order ◽

The Finite Element Method ◽

Element Method

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A multilevel sparse kernel-based stochastic collocation finite element method for elliptic problems with random coefficients

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.07.041 ◽

2018 ◽

Vol 76 (8) ◽

pp. 1950-1965 ◽

Cited By ~ 2

Author(s):

Zhaonan Dong ◽

Emmanuil H. Georgoulis ◽

Jeremy Levesley ◽

Fuat Usta

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Random Coefficients ◽

Stochastic Collocation ◽

Sparse Kernel ◽

Element Method

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A Combined Finite Element and Multiscale Finite Element Method for the Multiscale Elliptic Problems

Multiscale Modeling and Simulation ◽

10.1137/120898279 ◽

2014 ◽

Vol 12 (4) ◽

pp. 1424-1457 ◽

Cited By ~ 4

Author(s):

Weibing Deng ◽

Haijun Wu

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Multiscale Finite Element Method ◽

Multiscale Finite Element ◽

Element Method

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Finite volume element method for monotone nonlinear elliptic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.21747 ◽

2012 ◽

Vol 29 (4) ◽

pp. 1097-1120 ◽

Cited By ~ 5

Author(s):

Chunjia Bi ◽

Yanping Lin ◽

Min Yang

Keyword(s):

Finite Volume ◽

Elliptic Problems ◽

Volume Element ◽

Nonlinear Elliptic Problems ◽

Finite Volume Element Method ◽

Nonlinear Elliptic ◽

Finite Volume Element ◽

Element Method

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Parallel Multiblock Mixed Finite Element Method for Elliptic Problems on Unstructured Grids

Heat Transfer, Volume 6 ◽

10.1115/imece2002-33104 ◽

2002 ◽

Author(s):

Darrell W. Pepper ◽

Jichun Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Unstructured Grids ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Method ◽

Numerical Results ◽

2D And 3D ◽

Element Method

In this paper, we develop a general multiblock mixed finite element method for solving 2D and 3D elliptic problems by different unstructured grids on both serial and parallel platforms. Detailed implementations and numerical results are presented.

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