An Improved Method for Solving Quasi-linear Convection Diffusion Problems on a Coarse Mesh

DOI10.1137/15M1007823zbMath1382.65369arXiv1502.02629OpenAlexW2159887841WikidataQ59394143 ScholiaQ59394143MaRDI QIDQ2800442

Sara Pollock

Publication date: 15 April 2016

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02629

zbMATH Keywords

adaptive methodsnonlinear diffusionNewton-like methodsquasi-linear equationsconvection diffusionpseudotransient continuation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Quasilinear elliptic equations (35J62)

Related Items (3)

Uniqueness of discrete solutions of nonmonotone PDEs without a globally fine mesh condition ⋮ Discrete comparison principles for quasilinear elliptic PDE ⋮ Stabilized and inexact adaptive methods for capturing internal layers in quasilinear PDE

Uses Software

• NewtonLib
• SG

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence of an adaptive Kačanov FEM for quasi-linear problems
• Development of an implicit method with numerical dissipation from a generalized single-step algorithm for structural dynamics
• Optimality of a standard adaptive finite element method
• A Regularized Newton-Like Method for Nonlinear PDE
• Optimality of an adaptive finite element method for the p-Laplacian equation
• A convergence proof for adaptive finite elements without lower bound
• Newton Methods for Nonlinear Problems
• A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
• Parameter Selection for Newton-Like Methods Applicable to Nonlinear Partial Differential Equations
• Asymptotic Mesh Independence of Newton–Galerkin Methods via a Refined Mysovskii Theorem
• Convergence Analysis of Pseudo-Transient Continuation
• On the a posteriori error analysis for equations of prescribed mean curvature
• Pseudotransient Continuation and Differential-Algebraic Equations
• Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
• A characterisation of oscillations in the discrete two-dimensional convection-diffusion equation
• Pseudo-Transient Continuation for Nonsmooth Nonlinear Equations
• Adaptive numerical treatment of elliptic systems on manifolds

This page was built for publication: An Improved Method for Solving Quasi-linear Convection Diffusion Problems on a Coarse Mesh