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math.NA2023
An O(N) distributed-memory parallel direct solver for planar integral equations
Tianyu Liang, Chao Chen, Per-Gunnar Martinsson +1
Boundary value problems involving elliptic PDEs such as the Laplace and the Helmholtz equations are ubiquitous in mathematical physics and engineering. Many such problems can be al…
math.NA2023
Numerical simulation of an extensible capsule using regularized Stokes kernels and overset finite differences
Dhwanit Agarwal, George Biros
In this paper, we present a novel numerical scheme for simulating deformable and extensible capsules suspended in a Stokesian fluid. The main feature of our scheme is a partition-o…