HP-finite element approximations on non-matching grids for partial differential equations with non-negative characteristic form

Andrea Toselli

doi:10.1051/m2an:2003018

HP-finite element approximations on non-matching grids for partial differential equations with non-negative characteristic form

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2003018 ◽

2003 ◽

Vol 37 (1) ◽

pp. 91-115 ◽

Cited By ~ 4

Author(s):

Andrea Toselli

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Characteristic Form ◽

Partial Differential ◽

Finite Element Approximations ◽

Negative Characteristic ◽

Hp Finite Element

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Stabilised hp -Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form

Computing ◽

10.1007/s006070170030 ◽

2001 ◽

Vol 66 (2) ◽

pp. 99-119 ◽

Cited By ~ 29

Author(s):

P. Houston ◽

Endre Süli

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Finite Element Approximation ◽

Element Approximation ◽

Characteristic Form ◽

Partial Differential ◽

Nonnegative Characteristic Form ◽

Hp Finite Element

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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 ◽

Cited By ~ 1

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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Optimal convergence rates for semidiscrete finite element approximations of linear space-fractional partial differential equations under minimal regularity assumptions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.12.004 ◽

2019 ◽

Vol 352 ◽

pp. 409-425 ◽

Cited By ~ 1

Author(s):

Fang Liu ◽

Zongqi Liang ◽

Yubin Yan

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Linear Space ◽

Convergence Rates ◽

Fractional Partial Differential Equations ◽

Partial Differential ◽

Optimal Convergence ◽

Finite Element Approximations ◽

Optimal Convergence Rates

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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 ◽

Cited By ~ 2

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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Non-conforming spectral element-finite element approximations for partial differential equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(89)90018-2 ◽

1989 ◽

Vol 75 (1-3) ◽

pp. 109-125 ◽

Cited By ~ 8

Author(s):

C. Bègue ◽

C. Bernardi ◽

N. Debit ◽

Y. Maday ◽

G.E. Kariadakis ◽

...

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Spectral Element ◽

Partial Differential ◽

Finite Element Approximations

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SOME A PRIORI ERROR ESTIMATES FOR FINITE ELEMENT APPROXIMATIONS OF ELLIPTIC AND PARABOLIC LINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

International Journal for Uncertainty Quantification ◽

10.1615/int.j.uncertaintyquantification.2014007972 ◽

2014 ◽

Vol 4 (5) ◽

pp. 423-454 ◽

Cited By ~ 1

Author(s):

Christophe Audouze ◽

Prasanth Nair

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Error Estimates ◽

Stochastic Partial Differential Equations ◽

A Priori ◽

A Priori Error Estimates ◽

Partial Differential ◽

Finite Element Approximations ◽

Priori Error Estimates

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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 ◽

Cited By ~ 527

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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Adaptive Finite Element Methods for Parabolic Partial Differential Equations.

10.21236/ada131824 ◽

1983 ◽

Cited By ~ 2

Author(s):

Joseph E. Flaherty ◽

J. Michael Coyle ◽

Raymond Ludwig ◽

Stephen F. Davis

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Finite Element Methods ◽

Parabolic Partial Differential Equations ◽

Adaptive Finite Element ◽

Adaptive Finite Element Methods ◽

Partial Differential

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Analysis of trace finite element methods for surface partial differential equations

IMA Journal of Numerical Analysis ◽

10.1093/imanum/dru047 ◽

2014 ◽

Vol 35 (4) ◽

pp. 1568-1590 ◽

Cited By ~ 38

Author(s):

Arnold Reusken

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Finite Element Methods ◽

Partial Differential ◽

Surface Partial Differential Equations

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