2 papers
math.NA2026
A High-Order Conformal FEM for Multidimensional Nonlinear Collisional Breakage Equations: Analysis and Computation
Arushi Arushi, Naresh Kumar
Particle breakage due to collisional interactions plays a vital role in the development of several phenomena in science and engineering. The nonlinear collisional breakage equation…
math.NA2026
Error Analysis of a Conforming FEM for Multidimensional Fragmentation Equations
Arushi, Naresh Kumar
In this work, we develop and analyze a higher-order finite element method for the multidimensional fragmentation equation. To the best of our knowledge, this is the first study to…