Convergence theory for two-level hybrid Schwarz preconditioners for high-frequency Helmholtz problems.

Sharp Preasymptotic Error Bounds for the Helmholtz \(\boldsymbol{h}\)-FEM.

Lower bounds for piecewise polynomial approximations of oscillatory functions.

Helmholtz FEM solutions are locally quasi-optimal modulo low frequencies.

The Scattering Phase: Seen at Last.

Schwarz methods with PMLs for Helmholtz problems: fast convergence at high frequency.

Sharp error bounds for edge-element discretisations of the high-frequency Maxwell equations.

Convergence of overlapping domain decomposition methods with PML transmission conditions applied to nontrapping Helmholtz problems.

Does the Helmholtz Boundary Element Method Suffer from the Pollution Effect?

Decompositions of High-Frequency Helmholtz Solutions via Functional Calculus, and Application to the Finite Element Method.

Perfectly-Matched-Layer Truncation is Exponentially Accurate at High Frequency.

Sharp preasymptotic error bounds for the Helmholtz h-FEM.

The hp-FEM applied to the Helmholtz equation with PML truncation does not suffer from the pollution effect.

The Helmholtz boundary element method does not suffer from the pollution effect.

Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency?

Eigenvalues of the Truncated Helmholtz Solution Operator under Strong Trapping.

High-frequency estimates on boundary integral operators for the Helmholtz exterior Neumann problem.

Local absorbing boundary conditions on fixed domains give order-one errors for high-frequency waves.

Wavenumber-explicit analysis for the Helmholtz <i>h</i>-BEM: error estimates and iteration counts for the Dirichlet problem.