Hybrid Finite-Volume/Finite-Element Schemes for p(x)-Laplace Thermistor Models

DOI10.1007/978-3-319-57394-6_42zbMath1379.35312OpenAlexW2618799494WikidataQ59901564 ScholiaQ59901564MaRDI QIDQ5271142

Matthias Liero, Jürgen Fuhrmann, Annegret Glitzky

Publication date: 4 July 2017

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

Full work available at URL: https://doi.org/10.1007/978-3-319-57394-6_42

zbMATH Keywords

path followingfinite volume scheme\(p(x)\)-Laplace thermistor model

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Statistical mechanics of semiconductors (82D37) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10) Electro- and magnetostatics (78A30) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Quasilinear elliptic equations with (p)-Laplacian (35J92) Finite volume methods applied to problems in thermodynamics and heat transfer (80M12)

Related Items (3)

On numerical approximation of diffusion problems governed by variable-exponent nonlinear elliptic operators ⋮ Unipolar Drift-Diffusion Simulation of S-Shaped Current-Voltage Relations for Organic Semiconductor Devices ⋮ Generalized Scharfetter-Gummel schemes for electro-thermal transport in degenerate semiconductors using the Kelvin formula for the Seebeck coefficient

Cites Work

• Analysis of \(p(x)\)-Laplace thermistor models describing the electrothermal behavior of organic semiconductor devices
• Thermistor systems of \(p(x)\)-Laplace-type with discontinuous exponents via entropy solutions
• \(p\)-Laplace thermistor modeling of electrothermal feedback in organic semiconductor devices
• Practical bifurcation and stability analysis: from equilibrium to chaos.
• Systems Describing Electrothermal Effects with $p(x)$-Laplacian-like Structure for Discontinuous Variable Exponents
• Boundary conforming Delaunay mesh generation
• Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
• Discretization of coupled heat and electrical diffusion problems by finite-element and finite-volume methods

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