Eliminating Gibbs phenomena: a non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation (Q2194807)

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English	Eliminating Gibbs phenomena: a non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation	scientific article

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instance of

scholarly article

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title

Eliminating Gibbs phenomena: a non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation (English)

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author

Paul Houston

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Sarah Roggendorf

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Kristoffer G. van der Zee

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publication date

7 September 2020

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full work available at URL

https://arxiv.org/abs/1908.00996

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zbMATH Keywords

convection-diffusion

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Petrov-Galerkin

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Gibbs phenomenon

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finite element methods

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Banach spaces

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describes a project that uses

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A Gibbs phenomenon for spline functions

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Gibbs phenomenon for best $L_ p$ approximation by polygonal lines.

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The Gibbs phenomenon for best $L_ 1$-trigonometric polynomial approximation

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A Finite Element Technique for Solving First-Order PDEs in<i>L<sup>p</sup></i>

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Nonoscillatory solution of the steady-state inviscid Burgers' equation by mathematical programming

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Solution of Steady-State One-Dimensional Conservation Laws by Mathematical Programming

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Solution of Steady-State, Two-Dimensional Conservation Laws by Mathematical Programming

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Non-oscillatory and non-diffusive solution of convection problems by the iteratively reweighted least-squares finite element method

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A fast algorithm for solving first-order PDEs by $L^1$-minimization

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$L^1$-Approximation of Stationary Hamilton–Jacobi Equations

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An optimal $L_1$-minimization algorithm for stationary Hamilton-Jacobi equations

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An Overview of the Discontinuous Petrov Galerkin Method

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On the performance of SOLD methods for convection-diffusion problems with interior layers

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On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review

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On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. II: Analysis for $P_{1}$ and $Q_{1}$ finite elements

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Numerical approximation of hyperbolic systems of conservation laws

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Stabilized Galerkin approximation of convection-diffusion-reaction equations: discrete maximum principle and convergence

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High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments

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Flux correction tools for finite elements

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High-resolution FEM--FCT schemes for multidimensional conservation laws

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Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion

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Explicit and implicit FEM-FCT algorithms with flux linearization

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A dual Petrov-Galerkin finite element method for the convection-diffusion equation

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A robust Petrov-Galerkin discretisation of convection-diffusion equations

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A Petrov-Galerkin discretization with optimal test space of a mild-weak formulation of convection-diffusion equations in mixed form

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A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms

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Adaptivity and variational stabilization for convection-diffusion equations

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Robust DPG Method for Convection-Dominated Diffusion Problems

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Automated solution of differential equations by the finite element method. The FEniCS book

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The convection-diffusion-reaction equation in non-Hilbert Sobolev spaces: a direct proof of the inf-sup condition and stability of Galerkin's method

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Geometric properties of Banach spaces and nonlinear iterations

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A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions

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Q3067863

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A class of discontinuous Petrov-Galerkin methods. IV: The optimal test norm and time-harmonic wave propagation in 1D

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An analysis of the practical DPG method

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The discrete-dual minimal-residual method (DDMRES) for weak advection-reaction problems in Banach spaces

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Hermes2D, a C++ library for rapid development of adaptive $hp$-FEM and $hp$-DG solvers

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published in

Computers & Mathematics with Applications

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Identifiers

zbMATH Open document ID

1447.65146

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Mathematics Subject Classification ID

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10.1016/J.CAMWA.2020.03.025

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Sitelinks

Mathematics(1 entry)

mardi Publication:2194807