Irregular domains: Special coordinates for a pseudospectral method

O Guimarães, L Cunha, JRC Piqueira - Engineering Analysis with …, 2024 - Elsevier
Working with a special coordinate system, this study demonstrates how to obtain numerical
solutions with geometric convergence for the eigenstates of a Laplacian operator in irregular …

Analysis and simulation of a variational stabilization for the Helmholtz equation with noisy Cauchy data

VA Khoa, ND Thuc, A Gunaratne - BIT Numerical Mathematics, 2023 - Springer
This article considers a Cauchy problem of Helmholtz equations whose solution is well
known to be exponentially unstable with respect to the inputs. In the framework of variational …