A posteriori analysis and adaptive error control for operator decomposition solution of coupled semilinear elliptic systems

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.4482 ◽

2013 ◽

Vol 94 (9) ◽

pp. 826-849 ◽

Author(s):

V. Carey ◽

D. Estep ◽

S. Tavener

Keyword(s):

Error Control ◽

Elliptic Systems ◽

A Posteriori ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic ◽

Adaptive Error Control ◽

Operator Decomposition ◽

Posteriori Analysis ◽

A Posteriori Analysis

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A Posteriori Analysis and Adaptive Error Control for Multiscale Operator Decomposition Solution of Elliptic Systems I: Triangular Systems

SIAM Journal on Numerical Analysis ◽

10.1137/070689917 ◽

2009 ◽

Vol 47 (1) ◽

pp. 740-761 ◽

Author(s):

V. Carey ◽

D. Estep ◽

S. Tavener

Keyword(s):

Error Control ◽

Elliptic Systems ◽

A Posteriori ◽

Triangular Systems ◽

Adaptive Error Control ◽

Operator Decomposition ◽

Posteriori Analysis ◽

A Posteriori Analysis

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Nonparametric Density Estimation for Randomly Perturbed Elliptic Problems I: Computational Methods, A Posteriori Analysis, and Adaptive Error Control

SIAM Journal on Scientific Computing ◽

10.1137/080731670 ◽

2009 ◽

Vol 31 (4) ◽

pp. 2935-2959 ◽

Author(s):

D. Estep ◽

A. MÅlqvist ◽

S. Tavener

Keyword(s):

Density Estimation ◽

Computational Methods ◽

Error Control ◽

Elliptic Problems ◽

Nonparametric Density Estimation ◽

A Posteriori ◽

Adaptive Error Control ◽

Posteriori Analysis ◽

A Posteriori Analysis

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A Posteriori Analysis and Improved Accuracy for an Operator Decomposition Solution of a Conjugate Heat Transfer Problem

SIAM Journal on Numerical Analysis ◽

10.1137/060678737 ◽

2008 ◽

Vol 46 (4) ◽

pp. 2068-2089 ◽

Author(s):

D. Estep ◽

S. Tavener ◽

T. Wildey

Keyword(s):

Heat Transfer ◽

Conjugate Heat Transfer ◽

Transfer Problem ◽

Heat Transfer Problem ◽

A Posteriori ◽

Operator Decomposition ◽

Posteriori Analysis ◽

Improved Accuracy ◽

A Posteriori Analysis

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A Posteriori Analysis of Adaptive Multiscale Operator Decomposition Methods for Multiphysics Problems

10.2172/971515 ◽

2010 ◽

Author(s):

Donald Estep ◽

Michael Holst ◽

Simon Tavener

Keyword(s):

Decomposition Methods ◽

A Posteriori ◽

Operator Decomposition ◽

Posteriori Analysis ◽

A Posteriori Analysis ◽

Multiphysics Problems

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An A Posteriori Analysis of Multiscale Operator Decomposition

Numerical Mathematics and Advanced Applications 2009 ◽

10.1007/978-3-642-11795-4_38 ◽

2010 ◽

pp. 359-367

Author(s):

Victor Ginting

Keyword(s):

A Posteriori ◽

Operator Decomposition ◽

Posteriori Analysis ◽

A Posteriori Analysis

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NONEXISTENCE RESULTS AND EXISTENCE THEOREMS OF POSITIVE SOLUTIONS OF DIRICHLET PROBLEMS FOR A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS OF SECOND ORDER

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30454-5 ◽

1987 ◽

Vol 7 (3) ◽

pp. 299-309

Author(s):

Chen Baoyao

Keyword(s):

Positive Solutions ◽

Existence Theorems ◽

Elliptic Systems ◽

Second Order ◽

Dirichlet Problems ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic

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Normalized ground states for semilinear elliptic systems with critical and subcritical nonlinearities

Journal of Fixed Point Theory and Applications ◽

10.1007/s11784-021-00878-w ◽

2021 ◽

Vol 23 (3) ◽

Author(s):

Houwang Li ◽

Wenming Zou

Keyword(s):

Ground States ◽

Elliptic Systems ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic

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Space and time reconstructions in a posteriori analysis of evolution problems

ESAIM Proceedings ◽

10.1051/proc:072104 ◽

2007 ◽

Vol 21 ◽

pp. 31-44 ◽

Author(s):

Charalambos Makridakis

Keyword(s):

A Posteriori ◽

Evolution Problems ◽

Space And Time ◽

Posteriori Analysis ◽

A Posteriori Analysis

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Symmetry of components and Liouville-type theorems for semilinear elliptic systems involving the fractional Laplacian

Nonlinear Analysis ◽

10.1016/j.na.2018.10.006 ◽

2019 ◽

Vol 180 ◽

pp. 208-224 ◽

Author(s):

Hui Yang ◽

Wenming Zou

Keyword(s):

Fractional Laplacian ◽

Elliptic Systems ◽

Liouville Type ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic ◽

Liouville Type Theorems

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Optimal conditions for a priori estimates for semilinear elliptic systems with two components

Nonlinear Analysis ◽

10.1016/j.na.2009.09.026 ◽

2010 ◽

Vol 72 (3-4) ◽

pp. 1850-1864 ◽

Author(s):

Li Yuxiang

Keyword(s):

A Priori Estimates ◽

A Priori ◽

Elliptic Systems ◽

Optimal Conditions ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic ◽

Priori Estimates

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