Optimal local truncation error method for solution of partial differential equations on irregular domains and interfaces using unfitted Cartesian meshes

A Idesman - Archives of Computational Methods in Engineering, 2023 - Springer
The review of the optimal local truncation error method (OLTEM) for the numerical solution of
PDEs is presented along with some new developments of OLTEM. First, we explain the …

Optimal local truncation error method for solution of 3-D Poisson equation with irregular interfaces and unfitted Cartesian meshes as well as for post-processing

A Idesman, M Mobin - Advances in Engineering Software, 2022 - Elsevier
Recently the optimal local truncation error method (OLTEM) has been developed for the 2-D
Poisson equation for heterogeneous materials with irregular interfaces and unfitted …

11-th order of accuracy for numerical solution of 3-D Poisson equation with irregular interfaces on unfitted Cartesian meshes

A Idesman, M Mobin, J Bishop - Computer Methods in Applied Mechanics …, 2023 - Elsevier
For the first time the optimal local truncation error method (OLTEM) with 125-point stencils
and unfitted Cartesian meshes has been developed in the general 3-D case for the Poisson …