An $hp$-local discontinuous Galerkin method for some quasilinear elliptic boundary value problems of nonmonotone type

Mathematics of Computation ◽

10.1090/s0025-5718-07-02047-9 ◽

2007 ◽

Vol 77 (262) ◽

pp. 731-757 ◽

Author(s):

Thirupathi Gudi ◽

Neela Nataraj ◽

Amiya K. Pani

Keyword(s):

Galerkin Method ◽

Boundary Value Problems ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Boundary ◽

Local Discontinuous Galerkin Method ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Local Discontinuous Galerkin ◽

Quasilinear Elliptic

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A stochastic local discontinuous Galerkin method for stochastic two-point boundary-value problems driven by additive noises

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.01.023 ◽

2018 ◽

Vol 128 ◽

pp. 43-64

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Boundary Value Problems ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Boundary Value ◽

Local Discontinuous Galerkin Method ◽

Point Boundary ◽

Local Discontinuous Galerkin

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A superconvergent local discontinuous Galerkin method for nonlinear two-point boundary-value problems

Numerical Algorithms ◽

10.1007/s11075-017-0456-0 ◽

2017 ◽

Vol 79 (3) ◽

pp. 697-718 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Boundary Value Problems ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Boundary Value ◽

Local Discontinuous Galerkin Method ◽

Point Boundary ◽

Local Discontinuous Galerkin

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An adaptive local discontinuous Galerkin method for nonlinear two-point boundary-value problems

Numerical Algorithms ◽

10.1007/s11075-019-00794-8 ◽

2019 ◽

Vol 84 (3) ◽

pp. 1121-1153

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Boundary Value Problems ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Boundary Value ◽

Local Discontinuous Galerkin Method ◽

Point Boundary ◽

Local Discontinuous Galerkin

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Analysis of optimal superconvergence of the local discontinuous Galerkin method for nonlinear fourth-order boundary value problems

Numerical Algorithms ◽

10.1007/s11075-020-00947-0 ◽

2020 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Boundary Value Problems ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Fourth Order ◽

Boundary Value ◽

Local Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin

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Analysis of optimal superconvergence of a local discontinuous Galerkin method for nonlinear second-order two-point boundary-value problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.05.003 ◽

2019 ◽

Vol 145 ◽

pp. 361-383 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Boundary Value Problems ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Boundary Value ◽

Local Discontinuous Galerkin Method ◽

Second Order ◽

Point Boundary ◽

Local Discontinuous Galerkin

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An hp-Adaptive Iterative Linearization Discontinuous-Galerkin FEM for Quasilinear Elliptic Boundary Value Problems

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018 ◽

10.1007/978-3-030-39647-3_32 ◽

2020 ◽

pp. 407-417

Author(s):

Paul Houston ◽

Thomas P. Wihler

Keyword(s):

Boundary Value Problems ◽

Discontinuous Galerkin ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Discontinuous Galerkin Fem ◽

Quasilinear Elliptic

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EXISTENCE OF COUPLED WEAK QUASI-SOLUTIONS OF SYSTEMS OF QUASILINEAR ELLIPTIC BOUNDARY VALUE PROBLEMS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30195-4 ◽

1993 ◽

Vol 13 (1) ◽

pp. 102-110

Author(s):

Shixin Yang

Keyword(s):

Boundary Value Problems ◽

Elliptic Boundary ◽

Boundary Value ◽

Elliptic Boundary Value Problems ◽

Elliptic Boundary Value ◽

Quasilinear Elliptic

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Convergence and Superconvergence of the Local Discontinuous Galerkin Method for Semilinear Second-Order Elliptic Problems on Cartesian Grids

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-021-00123-8 ◽

2021 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

Local Discontinuous Galerkin Method ◽

Second Order ◽

Cartesian Grids ◽

Local Discontinuous Galerkin ◽

Convergence And Superconvergence ◽

Second Order Elliptic Problems

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Solving a non-linear fractional convection-diffusion equation using local discontinuous Galerkin method

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.02.003 ◽

2021 ◽

Vol 165 ◽

pp. 22-34

Author(s):

Hamid Safdari ◽

Majid Rajabzadeh ◽

Moein Khalighi

Keyword(s):

Diffusion Equation ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Convection Diffusion ◽

Convection Diffusion Equation ◽

Local Discontinuous Galerkin ◽

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Local discontinuous Galerkin method for distributed‐order time‐fractional diffusion‐wave equation: Application of Laplace transform

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7077 ◽

2020 ◽

Author(s):

Hadi Mohammadi‐Firouzjaei ◽

Hojatollah Adibi ◽

Mehdi Dehghan

Keyword(s):

Wave Equation ◽

Laplace Transform ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Fractional Diffusion ◽

Diffusion Wave ◽

Local Discontinuous Galerkin ◽

Distributed Order

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