3 papers
math.AP2026
Optimization-Based Identification of Effective Coefficients for Wave Equations in Spatio-Temporal Metamaterials
Christian Döding, Vishnu Raveendran, Barbara Verfürth
We study the identification of effective coefficients for wave equations in heterogeneous media. Such equations arise in the modeling of spatio-temporal metamaterials, where the un…
math.NA2025
Numerical Exploration of Nonlinear Dispersion Effects via a Strongly Coupled Two-scale System
Surendra Nepal, Vishnu Raveendran, Michael Eden +2
The effective, fast transport of matter through porous media is often characterized by complex dispersion effects. To describe in mathematical terms such situations, instead of a s…
math.AP2025
Strongly Coupled Two-scale System with Nonlinear Dispersion: Weak Solvability and Numerical Simulation
Vishnu Raveendran, Surendra Nepal, Rainey Lyons +2
We investigate a two-scale system featuring an upscaled parabolic dispersion-reaction equation intimately linked to a family of elliptic cell problems. The system is strongly coupl…