Schwarz waveform relaxation for heat equations with nonlinear dynamical boundary conditions

DOI10.1155/2013/474608zbMath1291.65281OpenAlexW2139574542WikidataQ58916361 ScholiaQ58916361MaRDI QIDQ2015572

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/474608

Mathematics Subject Classification ID

Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Cites Work

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The Fujita phenomenon in exterior domains under the Robin boundary conditions
Phase-field systems with nonlinear coupling and dynamic boundary conditions
Blow up for nonlinear parabolic equations with time degeneracy under dynamical boundary conditions
Domain decomposition methods for the numerical solution of partial differential equations
A qualitative theory for parabolic problems under dynamical boundary conditions
Overlapping Schwarz waveform relaxation for the heat equation in \(n\) dimensions
Space-time domain decomposition for parabolic problems
Quasilinear parabolic equations with nonlinear Wentzell-Robin type boundary conditions
Derivation and physical interpretation of general boundary conditions
A homographic best approximation problem with application to optimized Schwarz waveform relaxation
Schwarz Waveform Relaxation Algorithms for the Linear Viscous Equatorial Shallow Water Equations
Optimized Schwarz Methods for the Time-Harmonic Maxwell Equations with Damping
The Fujita phenomenon in exterior domains under dynamical boundary conditions
Optimized Schwarz Methods for Maxwell's Equations
Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation
On Time-Domain Simulation of Lossless Transmission Lines with Nonlinear Terminations
Blow Up for Reaction Diffusion Equations Under Dynamical Boundary Conditions†
Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems
Overlapping Schwarz Waveform Relaxation for Convection-Dominated Nonlinear Conservation Laws
An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions
Nonlinear balance for reaction-diffusion equations under nonlinear boundary conditions: Dissipativity and blow-up

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