Rigorous FEM for One-Dimensional Burgers Equation (Q5004526)

scientific article; zbMATH DE number 7377264

Language	Label	Description	Also known as
English	Rigorous FEM for One-Dimensional Burgers Equation	scientific article; zbMATH DE number 7377264

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instance of

scholarly article

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title

Rigorous FEM for One-Dimensional Burgers Equation (English)

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SIAM Journal on Applied Dynamical Systems

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publication date

2 August 2021

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full work available at URL

https://arxiv.org/abs/2004.01280

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zbMATH Keywords

computer-assisted proof

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periodic solution

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finite element method

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Burgers equation

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rigorous numerics

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describes a project that uses

navierstokes

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CAPD

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MaRDI profile type

MaRDI publication profile

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cites work

Integration of Dissipative Partial Differential Equations: A Case Study

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Q4162607

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Computer-Assisted Proof of Heteroclinic Connections in the One-Dimensional Ohta--Kawasaki Model

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Existence of Globally Attracting Solutions for One-Dimensional Viscous Burgers Equation with Nonautonomous Forcing---A Computer Assisted Proof

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Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs

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Efficient Rigorous Numerics for Higher-Dimensional PDEs via One-Dimensional Estimates

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A Posteriori Verification of Invariant Objects of Evolution Equations: Periodic Orbits in the Kuramoto--Sivashinsky PDE

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Dynamics of a nonlinear convection-diffusion equation in multidimensional bounded domains

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On non-autonomously forced Burgers equation with periodic and Dirichlet boundary conditions

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A Lohner-type algorithm for control systems and ordinary differential inclusions

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A uniqueness result for a semilinear elliptic problem: a computer-assisted proof

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A Computer-Assisted Uniqueness Proof for a Semilinear Elliptic Boundary Value Problem

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Constructive A Priori Error Estimates for a Full Discrete Approximation of the Heat Equation

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Distributed and boundarycontrol of the viscous burgers' equation

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Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation

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Numerical Verification Methods and Computer-Assisted Proofs for Partial Differential Equations

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On the best constant in the error bound for the \(H_0^1\)-projection into piecewise polynomial spaces

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Computer-assisted proofs for semilinear elliptic boundary value problems

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Fourier-Taylor parameterization of unstable manifolds for parabolic partial differential equations: formalism, implementation and rigorous validation

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An Introduction to Partial Differential Equations

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Nonlinear partial differential equations with applications

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Q4100478

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Infinite-dimensional dynamical systems in mechanics and physics.

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Spontaneous periodic orbits in the Navier-Stokes flow

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Distributed control problems for the Burgers equation

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Asymptotic behavior of the global attractors to the Boussinesq system for Rayleigh‐Bénard convection at large Prandtl number

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A geometric method for infinite-dimensional chaos: symbolic dynamics for the Kuramoto-Sivashinsky PDE on the line

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Q3995594

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\(C^1\) Lohner algorithm.

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Rigorous numerics for dissipative partial differential equations. II: Periodic orbit for the Kuramoto-Sivashinsky PDE -- a computer-assisted proof

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Rigorous numerics for dissipative PDEs. III: An effective algorithm for rigorous integration of dissipative PDEs

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Identifiers

DOI

10.1137/20M1338216

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5004526