Modeling Uncertainty in Steady State Diffusion Problems via Generalized Polynomial Chaos

Mapping Intimacies ◽

10.21236/ada460658 ◽

2002 ◽

Author(s):

Dongbin Xiu ◽

George E. Karniadakis

Keyword(s):

Steady State ◽

Polynomial Chaos ◽

Generalized Polynomial Chaos ◽

Modeling Uncertainty ◽

State Diffusion ◽

Generalized Polynomial ◽

Steady State Diffusion ◽

Diffusion Problems

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Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(02)00421-8 ◽

2002 ◽

Vol 191 (43) ◽

pp. 4927-4948 ◽

Author(s):

Dongbin Xiu ◽

George Em Karniadakis

Keyword(s):

Steady State ◽

Polynomial Chaos ◽

Generalized Polynomial Chaos ◽

Modeling Uncertainty ◽

State Diffusion ◽

Generalized Polynomial ◽

Steady State Diffusion ◽

Diffusion Problems

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A new mathematical approach for solving carrier-facilitated steady-state diffusion problems

Journal of Mathematical Biology ◽

10.1007/bf00280581 ◽

1979 ◽

Vol 8 (1) ◽

pp. 1-13 ◽

Author(s):

L. Hoofd ◽

F. Kreuzer

Keyword(s):

Steady State ◽

Mathematical Approach ◽

State Diffusion ◽

Steady State Diffusion ◽

Diffusion Problems

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Steady state diffusion problems on non-trivial domains: Support operator method integrated with direct optimized grid generation

Applied Numerical Mathematics ◽

10.1016/s0168-9274(01)00069-1 ◽

2002 ◽

Vol 40 (1-2) ◽

pp. 207-218 ◽

Author(s):

José Castillo ◽

Terrence McGuinness

Keyword(s):

Steady State ◽

Operator Method ◽

Grid Generation ◽

State Diffusion ◽

Steady State Diffusion ◽

Diffusion Problems

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Modeling Uncertainty in Flow Simulations via Generalized Polynomial Chaos

10.21236/ada461813 ◽

2002 ◽

Author(s):

Dong Xiu ◽

George E. Karniadakis

Keyword(s):

Polynomial Chaos ◽

Generalized Polynomial Chaos ◽

Flow Simulations ◽

Modeling Uncertainty ◽

Generalized Polynomial

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Modeling uncertainty in flow simulations via generalized polynomial chaos

Journal of Computational Physics ◽

10.1016/s0021-9991(03)00092-5 ◽

2003 ◽

Vol 187 (1) ◽

pp. 137-167 ◽

Author(s):

Dongbin Xiu ◽

George Em Karniadakis

Keyword(s):

Polynomial Chaos ◽

Generalized Polynomial Chaos ◽

Flow Simulations ◽

Modeling Uncertainty ◽

Generalized Polynomial

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Galerkin based generalized ANOVA for the solution of stochastic steady state diffusion problems

Probabilistic Engineering Mechanics ◽

10.1016/j.probengmech.2017.10.009 ◽

2017 ◽

Vol 50 ◽

pp. 36-44 ◽

Author(s):

Souvik Chakraborty ◽

Rajib Chowdhury

Keyword(s):

Steady State ◽

State Diffusion ◽

Steady State Diffusion ◽

Diffusion Problems

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The Random Steady State Diffusion Problem. III: Solutions to Random Diffusion Problems by the Method of Random Successive Approximations

SIAM Journal on Applied Mathematics ◽

10.1137/0131016 ◽

1976 ◽

Vol 31 (1) ◽

pp. 159-178 ◽

Author(s):

Georges A. Bécus ◽

F. A. Cozzarelli

Keyword(s):

Steady State ◽

Diffusion Problem ◽

Successive Approximations ◽

State Diffusion ◽

Random Diffusion ◽

Steady State Diffusion ◽

Diffusion Problems

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The Random Steady State Diffusion Problem. II: Random Solutions to Nonlinear, Inhomogeneous, Steady State Diffusion Problems

SIAM Journal on Applied Mathematics ◽

10.1137/0131015 ◽

1976 ◽

Vol 31 (1) ◽

pp. 148-158 ◽

Author(s):

Georges A. Bécus ◽

F. A. Cozzarelli

Keyword(s):

Steady State ◽

Diffusion Problem ◽

State Diffusion ◽

Steady State Diffusion ◽

Diffusion Problems

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Generalized Polynomial Chaos Based Stochastic Collocation on the Uncertainty Quantification of CMOS Active Filter Circuits

2019 11th International Conference on Electrical and Electronics Engineering (ELECO) ◽

10.23919/eleco47770.2019.8990660 ◽

2019 ◽

Author(s):

Mecit Emre Duman ◽

Onder Suvak

Keyword(s):

Uncertainty Quantification ◽

Polynomial Chaos ◽

Active Filter ◽

Stochastic Collocation ◽

Generalized Polynomial Chaos ◽

Generalized Polynomial

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Bayesian Updates to Probabilistic Aircraft Models in Generalized Polynomial Chaos Form from Measured Data

AIAA Scitech 2021 Forum ◽

10.2514/6.2021-1365 ◽

2021 ◽

Author(s):

Michael D. DeVore ◽

Jared Cooper ◽

Adam Reed

Keyword(s):

Polynomial Chaos ◽

Measured Data ◽

Generalized Polynomial Chaos ◽

Generalized Polynomial

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