Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems I: the scalar case

IMA Journal of Numerical Analysis ◽

10.1093/imanum/dri014 ◽

2005 ◽

Vol 25 (4) ◽

pp. 726-749 ◽

Author(s):

Paul Houston ◽

Janice Robson ◽

Endre Süli

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Elliptic Boundary ◽

Finite Element Approximation ◽

Scalar Case ◽

Element Approximation ◽

Galerkin Finite Element ◽

Elliptic Boundary Value ◽

Discontinuous Galerkin Finite Element ◽

Quasilinear Elliptic

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Discontinuous Galerkin finite element approximation of quasilinear elliptic boundary value problems II: strongly monotone quasi-Newtonian flows

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drs046 ◽

2013 ◽

Vol 33 (4) ◽

pp. 1386-1415 ◽

Author(s):

S. Congreve ◽

P. Houston ◽

E. Suli ◽

T. P. Wihler

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Elliptic Boundary ◽

Finite Element Approximation ◽

Element Approximation ◽

Galerkin Finite Element ◽

Elliptic Boundary Value ◽

Newtonian Flows ◽

Discontinuous Galerkin Finite Element ◽

Quasilinear Elliptic

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Discontinuous Galerkin Finite Element Approximation of Nondivergence Form Elliptic Equations with Cordès Coefficients

SIAM Journal on Numerical Analysis ◽

10.1137/120899613 ◽

2013 ◽

Vol 51 (4) ◽

pp. 2088-2106 ◽

Author(s):

Iain Smears ◽

Endre Süli

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Elliptic Equations ◽

Finite Element Approximation ◽

Element Approximation ◽

Galerkin Finite Element ◽

Nondivergence Form ◽

Discontinuous Galerkin Finite Element

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Discontinuous Galerkin Finite Element Approximation of Nonlinear Non‐Fickian Diffusion in Viscoelastic Polymers

SIAM Journal on Numerical Analysis ◽

10.1137/05064480x ◽

2006 ◽

Vol 44 (6) ◽

pp. 2650-2670 ◽

Author(s):

Béatrice Rivière ◽

Simon Shaw

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Approximation ◽

Fickian Diffusion ◽

Element Approximation ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element

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Constant free error bounds for nonuniform order discontinuous Galerkin finite-element approximation on locally refined meshes with hanging nodes

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drp025 ◽

2009 ◽

Vol 31 (1) ◽

pp. 254-280 ◽

Author(s):

M. Ainsworth ◽

R. Rankin

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Error Bounds ◽

Finite Element Approximation ◽

Element Approximation ◽

Galerkin Finite Element ◽

Hanging Nodes ◽

Discontinuous Galerkin Finite Element ◽

Refined Meshes ◽

Locally Refined Meshes

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A Priori Error Analysis for Time-Stepping Discontinuous Galerkin Finite Element Approximation of Time Fractional Optimal Control Problem

Journal of Scientific Computing ◽

10.1007/s10915-019-00964-9 ◽

2019 ◽

Vol 80 (2) ◽

pp. 993-1018 ◽

Author(s):

Chenyang Zhang ◽

Huipo Liu ◽

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problem ◽

Discontinuous Galerkin ◽

A Priori ◽

Finite Element Approximation ◽

Element Approximation ◽

Galerkin Finite Element ◽

Time Stepping ◽

Discontinuous Galerkin Finite Element

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An $hp$-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems

Mathematics of Computation ◽

10.1090/mcom/3308 ◽

2018 ◽

Vol 87 (314) ◽

pp. 2641-2674 ◽

Author(s):

Paul Houston ◽

Thomas P. Wihler

Keyword(s):

Finite Element ◽

Boundary Value Problems ◽

Discontinuous Galerkin ◽

Elliptic Boundary ◽

Galerkin Finite Element ◽

Finite Element Approach ◽

Elliptic Boundary Value ◽

Semilinear Elliptic ◽

Discontinuous Galerkin Finite Element ◽

Element Approach

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Discontinuous Galerkin Finite Element Approximation of Hamilton--Jacobi--Bellman Equations with Cordes Coefficients

SIAM Journal on Numerical Analysis ◽

10.1137/130909536 ◽

2014 ◽

Vol 52 (2) ◽

pp. 993-1016 ◽

Author(s):

Iain Smears ◽

Endre Süli

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Approximation ◽

Element Approximation ◽

Galerkin Finite Element ◽

Bellman Equations ◽

Discontinuous Galerkin Finite Element ◽

Hamilton Jacobi Bellman

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Discontinuous Galerkin Finite Element Approximation of the Cahn–Hilliard Equation with Convection

SIAM Journal on Numerical Analysis ◽

10.1137/080726768 ◽

2009 ◽

Vol 47 (4) ◽

pp. 2660-2685 ◽

Author(s):

David Kay ◽

Vanessa Styles ◽

Endre Süli

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Approximation ◽

Element Approximation ◽

Galerkin Finite Element ◽

Hilliard Equation ◽

Discontinuous Galerkin Finite Element ◽

Cahn Hilliard Equation

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The discontinuous Galerkin finite element approximation of the multi-order fractional initial problems

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.11.057 ◽

2019 ◽

Vol 348 ◽

pp. 257-269 ◽

Author(s):

Yunying Zheng ◽

Zhengang Zhao ◽

Yanfen Cui

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Approximation ◽

Element Approximation ◽

Galerkin Finite Element ◽

Discontinuous Galerkin Finite Element

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Higher order finite element approximation of a quasilinear elliptic boundary value problem of a non-monotone type

Applications of Mathematics ◽

10.21136/am.1996.134338 ◽

1996 ◽

Vol 41 (6) ◽

pp. 467-478 ◽

Author(s):

Liping Liu ◽

Michal Křížek ◽

Pekka Neittaanmäki

Keyword(s):

Finite Element ◽

Boundary Value Problem ◽

Elliptic Boundary ◽

Finite Element Approximation ◽

Higher Order ◽

Element Approximation ◽

Elliptic Boundary Value Problem ◽

Elliptic Boundary Value ◽

Quasilinear Elliptic ◽

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