Efficient Adaptive Multilevel Stochastic Galerkin Approximation Using Implicit A Posteriori Error Estimation

Adam J. Crowder; Catherine E. Powell; Alex Bespalov

doi:10.1137/18m1194420

Efficient Adaptive Multilevel Stochastic Galerkin Approximation Using Implicit A Posteriori Error Estimation

SIAM Journal on Scientific Computing ◽

10.1137/18m1194420 ◽

2019 ◽

Vol 41 (3) ◽

pp. A1681-A1705 ◽

Cited By ~ 2

Author(s):

Adam J. Crowder ◽

Catherine E. Powell ◽

Alex Bespalov

Keyword(s):

Error Estimation ◽

Galerkin Approximation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Stochastic Galerkin

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A posteriori error estimation and adaptivity in stochastic Galerkin FEM for parametric elliptic PDEs: Beyond the affine case

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.05.023 ◽

2020 ◽

Vol 80 (5) ◽

pp. 1084-1103

Author(s):

Alex Bespalov ◽

Feng Xu

Keyword(s):

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Elliptic Pdes ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Stochastic Galerkin

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A Posteriori Error Estimation New" Approach"

10.21236/ada284960 ◽

1994 ◽

Cited By ~ 1

Author(s):

Patrick J. Rabier

Keyword(s):

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

New Approach ◽

A Posteriori Error

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A Posteriori Error Estimation for a New Stabilized Discontinuous Galerkin Method

10.21236/ada438102 ◽

2002 ◽

Author(s):

A. Romkes ◽

S. Prudhomme ◽

J. T. Oden

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Error Estimation ◽

Discontinuous Galerkin Method ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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A posteriori error estimation of approximate boundary fluxes

Communications in Numerical Methods in Engineering ◽

10.1002/cnm.1014 ◽

2007 ◽

Vol 24 (6) ◽

pp. 421-434 ◽

Cited By ~ 13

Author(s):

T. Wildey ◽

S. Tavener ◽

D. Estep

Keyword(s):

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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A posteriori error estimation of hierarchical type for the Schrödinger operator with inverse square potential

Numerische Mathematik ◽

10.1007/s00211-014-0628-y ◽

2014 ◽

Vol 128 (4) ◽

pp. 707-740 ◽

Cited By ~ 8

Author(s):

Hengguang Li ◽

Jeffrey S. Ovall

Keyword(s):

Error Estimation ◽

Schrödinger Operator ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Schrodinger Operator ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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Robust a posteriori error estimation for the nonconforming Fortin--Soulie finite element approximation

Mathematics of Computation ◽

10.1090/s0025-5718-08-02116-9 ◽

2008 ◽

Vol 77 (264) ◽

pp. 1917-1939 ◽

Cited By ~ 8

Author(s):

Mark Ainsworth ◽

Richard Rankin

Keyword(s):

Finite Element ◽

Error Estimation ◽

Finite Element Approximation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Element Approximation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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Variational multiscale a posteriori error estimation for systems. Application to linear elasticity

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.11.009 ◽

2015 ◽

Vol 285 ◽

pp. 291-314 ◽

Cited By ~ 7

Author(s):

Guillermo Hauke ◽

Diego Irisarri

Keyword(s):

Error Estimation ◽

Linear Elasticity ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Variational Multiscale

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Towards simplified and optimized a posteriori error estimation using PGD reduced models

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5695 ◽

2017 ◽

Vol 113 (6) ◽

pp. 967-998 ◽

Cited By ~ 1

Author(s):

Pierre-Eric Allier ◽

Ludovic Chamoin ◽

Pierre Ladevèze

Keyword(s):

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Reduced Models

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Energy norm based a posteriori error estimation for boundary element methods in two dimensions

Applied Numerical Mathematics ◽

10.1016/j.apnum.2008.12.024 ◽

2009 ◽

Vol 59 (11) ◽

pp. 2713-2734 ◽

Cited By ~ 20

Author(s):

C. Erath ◽

S. Ferraz-Leite ◽

S. Funken ◽

D. Praetorius

Keyword(s):

Boundary Element ◽

Error Estimation ◽

Posteriori Error ◽

Two Dimensions ◽

A Posteriori Error Estimation ◽

Boundary Element Methods ◽

Energy Norm ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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A posteriori error estimation for h-p approximations in elastostatics

Applied Numerical Mathematics ◽

10.1016/0168-9274(94)90017-5 ◽

1994 ◽

Vol 14 (1-3) ◽

pp. 23-54 ◽

Cited By ~ 15

Author(s):

M. Ainsworth ◽

J.T. Oden ◽

W. Wu

Keyword(s):

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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