A model and variance reduction method for computing statistical outputs of stochastic elliptic partial differential equations

Journal of Computational Physics ◽

10.1016/j.jcp.2015.05.041 ◽

2015 ◽

Vol 297 ◽

pp. 700-720 ◽

Author(s):

F. Vidal-Codina ◽

N.C. Nguyen ◽

M.B. Giles ◽

J. Peraire

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Variance Reduction ◽

Reduction Method ◽

Elliptic Partial Differential Equations ◽

Partial Differential

Download Full-text

An Empirical Interpolation and Model-Variance Reduction Method for Computing Statistical Outputs of Parametrized Stochastic Partial Differential Equations

SIAM/ASA Journal on Uncertainty Quantification ◽

10.1137/15m1016783 ◽

2016 ◽

Vol 4 (1) ◽

pp. 244-265 ◽

Author(s):

F. Vidal-Codina ◽

N. C. Nguyen ◽

M. B. Giles ◽

J. Peraire

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Stochastic Partial Differential Equations ◽

Variance Reduction ◽

Reduction Method ◽

Partial Differential

Download Full-text

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

Download Full-text

NOTE ON THE SOBOLEV'S THEOREM AND ITS APPLICATION TO THE LOCAL ESTIMATES FOR GENERALIZED SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS

Memoirs of the Faculty of Science Kyushu University Series A Mathematics ◽

10.2206/kyushumfs.20.56 ◽

1966 ◽

Vol 20 (1) ◽

pp. 56-60

Author(s):

Akira ONO

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Generalized Solutions ◽

Partial Differential

Download Full-text

A variance reduction technique for hybrid computer generated random walk solutions of partial differential equations

10.1145/1476936.1476944 ◽

1970 ◽

Author(s):

Everett L. Johnson

Keyword(s):

Random Walk ◽

Partial Differential Equations ◽

Differential Equations ◽

Variance Reduction ◽

Reduction Technique ◽

Partial Differential ◽

Variance Reduction Technique ◽

Hybrid Computer

Download Full-text

Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/140971890 ◽

2015 ◽

Vol 53 (1) ◽

pp. 405-420 ◽

Author(s):

Zhiqiang Cai ◽

Rob Falgout ◽

Shun Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Order System ◽

Partial Differential ◽

Download Full-text

Transformation of elliptic partial differential equations for solving two-dimensional boundary value problems in fluid flow

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620100304 ◽

1976 ◽

Vol 10 (3) ◽

pp. 527-533 ◽

Author(s):

J. D. Boadway

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Boundary Value ◽

Elliptic Partial Differential Equations ◽

Two Dimensional ◽

Partial Differential ◽

Dimensional Boundary

Download Full-text

Adams type inequalities and related elliptic partial differential equations in dimension four

Journal of Differential Equations ◽

10.1016/j.jde.2011.08.027 ◽

2012 ◽

Vol 252 (3) ◽

pp. 2266-2295 ◽

Author(s):

Yunyan Yang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Partial Differential

Download Full-text

A new parallel domain decomposition method for the adaptive finite element solution of elliptic partial differential equations

Concurrency and Computation Practice and Experience ◽

10.1002/cpe.569 ◽

2001 ◽

Vol 13 (5) ◽

pp. 327-350 ◽

Author(s):

Randolph E. Bank ◽

Peter K. Jimack

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Elliptic Partial Differential Equations ◽

Adaptive Finite Element ◽

Element Solution ◽

Partial Differential

Download Full-text

Bounded point evaluations and approximation in Lp by solutions of elliptic partial differential equations

Journal of Functional Analysis ◽

10.1016/0022-1236(78)90077-0 ◽

1978 ◽

Vol 28 (1) ◽

pp. 1-20 ◽

Author(s):

Claes Fernström ◽

John C Polking

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Point Evaluations

Download Full-text

Elliptic partial differential equations

Numerical Modeling for Electromagnetic Non-Destructive Evaluation ◽

10.1007/978-1-4757-0560-7_6 ◽

1995 ◽

pp. 212-236

Author(s):

Nathan Ida

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Partial Differential

Download Full-text