A Goal-Oriented Reduced Basis Methods-Accelerated Generalized Polynomial Chaos Algorithm (Q3179335)

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English	A Goal-Oriented Reduced Basis Methods-Accelerated Generalized Polynomial Chaos Algorithm	scientific article

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scholarly article

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title

A Goal-Oriented Reduced Basis Methods-Accelerated Generalized Polynomial Chaos Algorithm (English)

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SIAM/ASA Journal on Uncertainty Quantification

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publication date

21 December 2016

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full work available at URL

https://arxiv.org/abs/1601.00137

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zbMATH Keywords

stochastic PDEs

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generalized polynomial chaos

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reduced basis methods

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MaRDI profile type

MaRDI publication profile

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cites work

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<i>A priori</i>convergence of the Greedy algorithm for the parametrized reduced basis method

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A new algorithm for high-dimensional uncertainty quantification based on dimension-adaptive sparse grid approximation and reduced basis methods

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A certified natural-norm successive constraint method for parametric inf-sup lower bounds

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Reduced collocation methods: Reduced basis methods in the collocation framework

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Parametric analytical preconditioning and its applications to the reduced collocation methods

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Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.

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<i>A posteriori</i>error bounds for reduced-basis approximations of parametrized parabolic partial differential equations

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Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

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Reduced Basis Methods for Parameterized Partial Differential Equations with Stochastic Influences Using the Karhunen--Loève Expansion

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A natural-norm successive constraint method for inf-sup lower bounds

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A successive constraint linear optimization method for lower bounds of parametric coercivity and inf-sup stability constants

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A priori convergence theory for reduced-basis approximations of single-parameter elliptic partial differential equations

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Generalized Jacobi Weights, Christoffel Functions, and Jacobi Polynomials

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A ‘best points’ interpolation method for efficient approximation of parametrized functions

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A Weighted Reduced Basis Method for Elliptic Partial Differential Equations with Random Input Data

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High-Order Collocation Methods for Differential Equations with Random Inputs

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The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations

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Identifiers

zbMATH Open document ID

1352.65012

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DOI

10.1137/16M1055736

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:3179335