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On Multilevel Quadrature for Elliptic Stochastic Partial Differential Equations · Study

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ChapterOn Multilevel Quadrature for Elliptic Stochastic Partial Differential Equations

Helmut Harbrecht2012

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Chaptergreen2012

On Multilevel Quadrature for Elliptic Stochastic Partial Differential Equations

Helmut Harbrecht · Michael Peters · Markus Siebenmorgen

30 citations·0/0 files stored·Lecture notes in computational science and engineering

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Probabilistic and Robust Engineering Design Stochastic processes and financial applications Mathematical Approximation and Integration

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References

1991Stochastic Finite Elements: A Spectral Approach 2008Multilevel Monte Carlo Path Simulation 2014Stochastic Integration and Differential Equations : A New Approach 2004Finite elements for elliptic problems with stochastic coefficients 2006Karhunen–Loève approximation of random fields by generalized fast multipole methods 2010Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs 2011Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients 2006Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients

Cited by

2016Multilevel Accelerated Quadrature for PDEs with Log-Normally Distributed Diffusion Coefficient 2018Convergence analysis of multifidelity Monte Carlo estimation 2016Multi-index Stochastic Collocation Convergence Rates for Random PDEs with Parametric Regularity 2015Mixed finite element analysis of lognormal diffusion and multilevel Monte Carlo methods 2026Uncertainty Quantification for In Silico Chemistry

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Year2012

Typechapter

Published2012-01-01

VenueLecture notes in computational science and engineering

ISSN-L1439-7358

Languageen

Citations30

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1007/978-3-642-31703-3_8

openalex_workW1601255184

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2019IGA-based multi-index stochastic collocation for random PDEs on arbitrary domains