Applications of the Newton-Raphson method in a SDFEM for inviscid Burgers equation

DOI10.22034/cmde.2020.32615.1513zbMath1474.76038OpenAlexW3008011503MaRDI QIDQ4993651

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Publication date: 16 June 2021

Full work available at URL: https://cmde.tabrizu.ac.ir/article_9920_6b55937eecf255da25814ed38b43bd59.pdf

zbMATH Keywords

finite element methodBurgers equationNewton-Raphson method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) PDEs in connection with fluid mechanics (35Q35) Finite element methods applied to problems in fluid mechanics (76M10)

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Cites Work

• Unnamed Item
• Finite element methods for linear hyperbolic problems
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• The characteristic streamline diffusion method for convection-diffusion problems
• Discontinuous Galerkin finite element methods for second order hyperbolic problems
• Numerical approximation of hyperbolic systems of conservation laws
• Streamline diffusion method for treating coupling equations of hyperbolic scalar conservation laws
• A remark on the application of the Newton-Raphson method in nonlinear finite element analysis
• A posteriori error estimates for the coupling equations of scalar conservation laws
• Streamline Diffusion Methods for the Incompressible Euler and Navier-Stokes Equations
• On the Convergence of a Finite Element Method for a Nonlinear Hyperbolic Conservation Law
• Who was ‘-Raphson’?
• On the Convergence of Shock-Capturing Streamline Diffusion Finite Element Methods for Hyperbolic Conservation Laws
• ADAPTIVE FINITE ELEMENT METHODS FOR REACTIVE COMPRESSIBLE FLOW
• A POSTERIORI ERROR ESTIMATION IN COMPUTATIONAL INVERSE SCATTERING
• Convergence analysis of the streamline diffusion and discontinuous Galerkin methods for the Vlasov-Fokker-Planck system
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
• The partial differential equation u_t + uu_x = μ_xx