2 papers
math.NA2024
Attention-based hybrid solvers for linear equations that are geometry aware
Idan Versano, Eli Turkel
We present a novel architecture for learning geometry-aware preconditioners for linear partial differential equations (PDEs). We show that a deep operator network (Deeponet) can be…
math.NA2023
Fourth order accurate compact scheme for first-order maxwell's equations
Idan Versano, Eli Turkel, Semyon Tsynkov
We construct a compact fourth-order scheme, in space and time, for the time-dependent Maxwell's equations given as a first-order system on a staggered (Yee) grid. At each time step…