5 papers
Dirichlet-Neumann Waveform Relaxation Method for Hyperbolic PDE with Time Delay in Multiple Subdomains
Bankim Chandra Mandal, Deeksha Tomer
Hyperbolic partial differential equations (PDEs) with time delay are essential mathematical tools used to model numerous physical systems where wave propagation or oscillations dep…
Neumann-Neumann Waveform Relaxation Method for Hyperbolic PDE with Time Delay
Deeksha Tomer
Hyperbolic PDEs with time delay are essential for modeling a wide range of real-world applications. Since closed-form solutions are often not attainable, developing accurate and ef…
Convergence of Substructuring Waveform Relaxation Algorithms for Hyperbolic PDEs with Time Delay
Bankim Chandra Mandal, Deeksha Tomer
This article investigates the application and analysis of two substructuring waveform relaxation algorithms namely Dirichlet-Neumann Waveform Relaxation (DNWR) and Neumann-Neumann…
Dirichlet-Neumann Waveform Relaxation Method with Multiple Subdomains for Reaction-Diffusion Equation with a Time Delay
Bankim C. Mandal, Deeksha Tomer
In this study, we present the numerical investigation of the Dirichlet-Neumann Waveform Relaxation (DNWR) algorithm applied to multiple subdomains for the reaction-diffusion equati…
Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation Methods for PDEs with Time Delay
Deeksha Tomer, Bankim Chandra Mandal
We introduce and compare two domain decomposition based numerical methods, namely the Dirichlet-Neumann and Neumann-Neumann Waveform Relaxation methods (DNWR and NNWR respectively)…