Numerical analysis of a stable finite volume scheme for a generalized thermistor model
From MaRDI portal
Publication:2246158
DOI10.1515/cmam-2019-0144zbMath1473.65139OpenAlexW3045249845MaRDI QIDQ2246158
El Houssaine Quenjel, Mustapha Ghilani, Mohamed Rhoudaf
Publication date: 16 November 2021
Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/cmam-2019-0144
Degenerate parabolic equations (35K65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (2)
On numerical approximation of diffusion problems governed by variable-exponent nonlinear elliptic operators ⋮ Discrete duality finite volume scheme for a generalized Joule heating problem
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimal error analysis of Galerkin FEMs for nonlinear Joule heating equations
- Stability and convergence of fully discrete Galerkin FEMs for the nonlinear thermistor equations in a nonconvex polygon
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- Capacity solution to a coupled system of parabolic-elliptic equations in Orlicz-Sobolev spaces
- The gradient discretisation method
- Positive control volume finite element scheme for a degenerate compressible two-phase flow in anisotropic porous media
- The evolution thermistor problem with degenerate thermal conductivity
- Convergence of finite volume schemes for a degenerate convection-diffusion equation arising in flows in porous media
- A finite volume method on general meshes for a degenerate parabolic convection-reaction-diffusion equation
- Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem
- Existence of a capacity solution to a coupled nonlinear parabolic-elliptic system
- On the existence of solutions for a strongly degenerate system
- Linearly implicit finite element methods for the time-dependent Joule heating problem
- On the efficacy of a control volume finite element method for the capture of patterns for a volume-filling chemotaxis model
- Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations
- UNIFORM BMO ESTIMATE OF PARABOLIC EQUATIONS AND GLOBAL WELL-POSEDNESS OF THE THERMISTOR PROBLEM
- A Bound for the Temperature in the Thermistor Problem
- Discretization of coupled heat and electrical diffusion problems by finite-element and finite-volume methods
- DISCRETE DUALITY FINITE VOLUME SCHEMES FOR DOUBLY NONLINEAR DEGENERATE HYPERBOLIC-PARABOLIC EQUATIONS
- Existence of solutions for the time-dependent thermistor equations
- A strongly degenerate system involving an equation of parabolic type and an equation of elliptic type
- The Thermistor Problem: Existence, Smoothness Uniqueness, Blowup
- Existence and Uniqueness of the $C^\alpha $ Solution for the Thermistor Problem with Mixed Boundary Value
- On the stability of the solution of the thermistor problem
- On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials
- Error estimates for a finite volume element method for parabolic equations in convex polygonal domains
- Regularity of solutions of the thermistor problem
- A Finite Element Model for the Time-Dependent Joule Heating Problem
- Study of Full Implicit Petroleum Engineering Finite-Volume Scheme for Compressible Two-Phase Flow in Porous Media
- Finite volume schemes for diffusion equations: Introduction to and review of modern methods
- Unconditionally Optimal Error Estimates of a Crank--Nicolson Galerkin Method for the Nonlinear Thermistor Equations
This page was built for publication: Numerical analysis of a stable finite volume scheme for a generalized thermistor model
