42 citations · 57 across the 10 of their papers we have counts for
Showing 2025Show all
2 papers · 1 filter
math.NA2025
Convergence rates of curved boundary element methods for the 3D Laplace and Helmholtz equations
Luiz Maltez Faria, Pierre Marchand, Hadrien Montanelli
We establish improved convergence rates for curved boundary element methods applied to the three-dimensional (3D) Laplace and Helmholtz equations with smooth geometry and data. Our…
math.AP2025
Nonlocal vector calculus on the sphere
Hadrien Montanelli, Richard Mikael Slevinsky, Qiang Du
We introduce a nonlocal vector calculus on the unit two-sphere using weakly singular integral operators. Within this framework, the operators are diagonalizable in terms of scalar…