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math.NA2026

Coupling-Aware Vanka Smoothing for Multigrid Preconditioning of the Implicit Immersed Boundary Equations

Cole Gruninger, Boyce E. Griffith

The immersed boundary (IB) method models fluid--structure interaction using the natural Lagrangian and Eulerian formulations of structural mechanics and fluid dynamics, respectivel…

math.NA2026

WING: A Simple Windowed Nonorthogonalized Initial Guess Procedure for Repeated Matrix Solves

David Wells, Matthew G. Knepley, Boyce E. Griffith

Many numerical methods require solution of a sequence of linear systems with the same matrix and similar right-hand sides. Krylov subspace methods are a common tool for solving suc…

math.NA2026

Composite B-Spline Current Deposition and Interpolation Operators for Thin-Wire Finite-Difference Time-Domain Simulations

Cole Gruninger, Boyce E. Griffith

Holland-Simpson thin-wire finite-difference time-domain (FDTD) simulations of obliquely oriented closed-loop antennas exhibit persistent low-frequency parasitic currents because th…

math.NA2026

An immersed peridynamics method for fluid-driven damage and failure of anisotropic materials

Keon Ho Kim, Boyce E. Griffith

The immersed peridynamics (IPD) method is a fluid-structure interaction (FSI) model to simulate fluid-driven material damage and failure of an immersed structure, in which a peridy…

math.NA2026

A Pressure-Robust Immersed Interface Method for Discrete Surfaces

Michael J. Facci, Qi Sun, Boyce E. Griffith

The immersed interface method (IIM) for fluid-structure interaction imposes discontinuities in the fluid stress along immersed boundaries that are generated by forces concentrated…