Existence and Uniqueness of Solution for Semi-linear Conservation Laws with Velocity Field in L∞

DOI10.1007/978-3-031-27661-3_1arXiv2008.11233OpenAlexW4376464772MaRDI QIDQ6188746

Unnamed Author, Diaraf Seck, Soulèye Kane

Publication date: 7 February 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.11233

zbMATH Keywords

conservation lawsNewton's methodtransport equationsfinite-element methodfixed-point methodsadvection-reactionPicard's iterationSTILS methodsemi-linear PDE

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Initial-boundary value problems for first-order hyperbolic systems (35L50)

Cites Work

• Graphic and numerical comparison between iterative methods
• Solution for linear conservation laws with velocity fields in \(L^{\infty}\)
• A space-time least-square finite element scheme for advection-diffusion equations
• A simple finite element method for linear hyperbolic problems
• A study of numerical methods for hyperbolic conservation laws with stiff source terms
• An adaptive Newton-method based on a dynamical systems approach
• Revisiting stabilized finite element methods for the advective-diffusive equation
• THE NEWTON–RAPHSON METHOD AND ADAPTIVE ODE SOLVERS
• A weak Galerkin mixed finite element method for second order elliptic problems
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• Space–time integrated least squares: a time-marching approach
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Existence and Uniqueness of Solution for Semi-linear Conservation Laws with Velocity Field in L∞