Variational system identification of the partial differential equations governing microstructure evolution in materials: Inference over sparse and spatially unrelated data

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2021.113706 ◽

2021 ◽

Vol 377 ◽

pp. 113706

Author(s):

Z. Wang ◽

X. Huan ◽

K. Garikipati

Keyword(s):

Partial Differential Equations ◽

System Identification ◽

Differential Equations ◽

Microstructure Evolution ◽

Variational System ◽

Partial Differential

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Variational system identification of the partial differential equations governing the physics of pattern-formation: Inference under varying fidelity and noise

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2019.07.007 ◽

2019 ◽

Vol 356 ◽

pp. 44-74 ◽

Cited By ~ 11

Author(s):

Z. Wang ◽

X. Huan ◽

K. Garikipati

Keyword(s):

Partial Differential Equations ◽

System Identification ◽

Pattern Formation ◽

Differential Equations ◽

Variational System ◽

Partial Differential

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Partial Differential Equations

10.1017/9781108839808 ◽

2020 ◽

Author(s):

A. K. Nandakumaran ◽

P. S. Datti

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

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Perturbation of the Boundary in Boundary-Value Problems of Partial Differential Equations

10.1017/cbo9780511546730 ◽

2005 ◽

Cited By ~ 54

Author(s):

Dan Henry

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Partial Differential

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Partial Differential Equations in Fluid Dynamics

10.1017/cbo9780511754654 ◽

2008 ◽

Cited By ~ 4

Author(s):

Isom H. Herron ◽

Michael R. Foster

Keyword(s):

Fluid Dynamics ◽

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

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Partial Differential Equations

10.1017/cbo9781139171755 ◽

1987 ◽

Cited By ~ 391

Author(s):

J. Wloka

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

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Dispersive Partial Differential Equations

10.1017/cbo9781316563267 ◽

2016 ◽

Cited By ~ 9

Author(s):

M. Burak Erdogan ◽

Nikolaos Tzirakis

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

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Discrete sample estimation for gaussian random fields generated by stochastic partial differential equations

Communication in Statistics- Theory and Methods ◽

10.1080/03610929808828954 ◽

1998 ◽

Vol 14 (4) ◽

pp. 883-903

Author(s):

Jaroslav Mohapl

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Random Fields ◽

Stochastic Partial Differential Equations ◽

Gaussian Random Fields ◽

Partial Differential ◽

Discrete Sample

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CONORMAL SINGULARITIES FOR SOLUTION OF SEMILINEAR PARTIAL DIFFERENTIAL EQUATIONS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30260-1 ◽

1991 ◽

Vol 11 (4) ◽

pp. 425-432

Author(s):

Xiangyu Ge

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

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Problems in Distributions and Partial Differential Equations

10.1016/s0304-0208(08)x7001-x ◽

1988 ◽

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Partial Differential

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A priori estimates for solutions of elliptic partial differential equations on surfaces

10.32469/10355/10133 ◽

2009 ◽

Author(s):

Heidi Steenblock

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

A Priori Estimates ◽

A Priori ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Priori Estimates

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