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math.NA2023
A Convergent Finite Volume Method for a Kinetic Model for Interacting Species
Julia I. M. Hauser, Valeria Iorio, Markus Schmidtchen
We propose an upwind finite volume method for a system of two kinetic equations in one dimension that are coupled through nonlocal interaction terms. These cross-interaction system…
math.NA2023★ 1 cited
Numerical study of conforming space-time methods for Maxwell's equations
Julia I. M. Hauser, Marco Zank
Time-dependent Maxwell's equations govern electromagnetics. Under certain conditions, we can rewrite these equations into a partial differential equation of second order, which in…
math.NA2023
Space-Time FEM for the Vectorial Wave Equation under Consideration of Ohm's Law
Julia I. M. Hauser
The ability to deal with complex geometries and to go to higher orders is the main advantage of space-time finite element methods. Therefore, we want to develop a solid background…