Strong and Weak Error Estimates for Elliptic Partial Differential Equations with Random Coefficients

SIAM Journal on Numerical Analysis ◽

10.1137/100800531 ◽

2012 ◽

Vol 50 (1) ◽

pp. 216-246 ◽

Author(s):

Julia Charrier

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Error Estimates ◽

Elliptic Partial Differential Equations ◽

Random Coefficients ◽

Partial Differential ◽

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A Kernel-Based Collocation Method for Elliptic Partial Differential Equations With Random Coefficients

Monte Carlo and Quasi-Monte Carlo Methods 2012 - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-642-41095-6_14 ◽

2013 ◽

pp. 331-347 ◽

Author(s):

Gregory E. Fasshauer ◽

Qi Ye

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Collocation Method ◽

Elliptic Partial Differential Equations ◽

Random Coefficients ◽

Partial Differential

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Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic Partial Differential Equations with Random Coefficients

SIAM Journal on Numerical Analysis ◽

10.1137/110845537 ◽

2012 ◽

Vol 50 (6) ◽

pp. 3351-3374 ◽

Author(s):

Frances Y. Kuo ◽

Christoph Schwab ◽

Ian H. Sloan

Keyword(s):

Finite Element ◽

Monte Carlo ◽

Partial Differential Equations ◽

Differential Equations ◽

Finite Element Methods ◽

Elliptic Partial Differential Equations ◽

Random Coefficients ◽

Partial Differential ◽

Quasi Monte Carlo

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A MULTIMODES MONTE CARLO FINITE ELEMENT METHOD FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM COEFFICIENTS

International Journal for Uncertainty Quantification ◽

10.1615/int.j.uncertaintyquantification.2016016805 ◽

2016 ◽

Vol 6 (5) ◽

pp. 429-443 ◽

Author(s):

Xiaobing Feng ◽

Junshan Lin ◽

Cody Lorton

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Monte Carlo ◽

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Random Coefficients ◽

Partial Differential ◽

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Discontinuous Galerkin methods for elliptic partial differential equations with random coefficients

International Journal of Computer Mathematics ◽

10.1080/00207160.2013.784280 ◽

2013 ◽

Vol 90 (11) ◽

pp. 2477-2490 ◽

Author(s):

Kun Liu ◽

Béatrice M. Rivière

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Elliptic Partial Differential Equations ◽

Random Coefficients ◽

Galerkin Methods ◽

Partial Differential

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Computable Error Estimates for Finite Element Approximations of Elliptic Partial Differential Equations with Rough Stochastic Data

SIAM Journal on Scientific Computing ◽

10.1137/15m1044266 ◽

2016 ◽

Vol 38 (6) ◽

pp. A3773-A3807 ◽

Author(s):

Eric Joseph Hall ◽

Håkon Hoel ◽

Mattias Sandberg ◽

Anders Szepessy ◽

Raúl Tempone

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Error Estimates ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Finite Element Approximations ◽

Stochastic Data

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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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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

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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 ◽

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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

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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

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