Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902418680 ◽

2004 ◽

Vol 42 (2) ◽

pp. 800-825 ◽

Author(s):

Ivo Babuska ◽

Raúl Tempone ◽

Georgios E. Zouraris

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Galerkin Finite Element ◽

Finite Element Approximations

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Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.07.023 ◽

2014 ◽

Vol 68 (12) ◽

pp. 2182-2204 ◽

Author(s):

Xiaobing Feng ◽

Michael Neilan

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Moment Method ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Fully Nonlinear ◽

Finite Element Approximations ◽

Vanishing Moment ◽

Vanishing Moment Method

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4. Galerkin Finite Element Discretization of Elliptic Partial Differential Equations

A Tutorial on Elliptic PDE Solvers and Their Parallelization ◽

10.1137/1.9780898718171.ch4 ◽

2003 ◽

pp. 35-69

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Finite Element Discretization ◽

Partial Differential ◽

Element Discretization ◽

Galerkin Finite Element

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Analysis and finite element approximations of stochastic optimal control problems constrained by stochastic elliptic partial differential equations

10.31274/rtd-180813-17014 ◽

2008 ◽

Author(s):

Jangwoon Lee

Keyword(s):

Optimal Control ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Stochastic Optimal Control ◽

Optimal Control Problems ◽

Elliptic Partial Differential Equations ◽

Control Problems ◽

Partial Differential ◽

Finite Element Approximations

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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 new parallel domain decomposition method for the adaptive finite element solution of elliptic partial differential equations

Concurrency and Computation Practice and Experience ◽

10.1002/cpe.569 ◽

2001 ◽

Vol 13 (5) ◽

pp. 327-350 ◽

Author(s):

Randolph E. Bank ◽

Peter K. Jimack

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Elliptic Partial Differential Equations ◽

Adaptive Finite Element ◽

Element Solution ◽

Partial Differential

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A note on the design of hp-adaptive finite element methods for elliptic partial differential equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2004.04.009 ◽

2005 ◽

Vol 194 (2-5) ◽

pp. 229-243 ◽

Author(s):

Paul Houston ◽

Endre Süli

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Finite Element Methods ◽

Elliptic Partial Differential Equations ◽

Adaptive Finite Element ◽

Adaptive Finite Element Methods ◽

Partial Differential

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Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations

10.1007/978-3-319-01818-8 ◽

2014 ◽

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Partial Differential ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Recent Developments ◽

Galerkin Finite Element Methods

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Non Uniform Weighted Extended B-Spline Finite Element Analysis of Non Linear Elliptic Partial Differential Equations

Differential Equations and Dynamical Systems ◽

10.1007/s12591-020-00557-1 ◽

2020 ◽

Author(s):

Ayan Chakraborty ◽

B. V. Rathish Kumar

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Element Analysis ◽

B Spline ◽

Spline Finite Element

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Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equations

Journal of Computational Physics ◽

10.1016/j.jcp.2007.10.007 ◽

2008 ◽

Vol 227 (3) ◽

pp. 1887-1922 ◽

Author(s):

S. Rhebergen ◽

O. Bokhove ◽

J.J.W. van der Vegt

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Partial Differential ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

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Adaptive Galerkin finite element methods for partial differential equations

Partial Differential Equations ◽

10.1016/b978-0-444-50616-0.50009-9 ◽

2001 ◽

pp. 205-233 ◽

Author(s):

R. Rannacher

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Finite Element Methods ◽

Partial Differential ◽

Galerkin Finite Element ◽

Galerkin Finite Element Methods

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