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 …
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
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 …
Poisson equation for heterogeneous materials with irregular interfaces and unfitted …
New 25-point stencils with optimal accuracy for 2-D heat transfer problems. Comparison with the quadratic isogeometric elements
A new approach for the increase in the order of accuracy of high order elements used for the
time dependent heat equation and for the time independent Poisson equation has been …
time dependent heat equation and for the time independent Poisson equation has been …
Optimal local truncation error method for solution of wave and heat equations for heterogeneous materials with irregular interfaces and unfitted Cartesian meshes
Recently we have developed the optimal local truncation error method (OLTEM) for PDEs
with constant coefficients on irregular domains and unfitted Cartesian meshes. However …
with constant coefficients on irregular domains and unfitted Cartesian meshes. However …
Optimal local truncation error method on unfitted Cartesian meshes for solution of 3-D wave and heat equations for heterogeneous materials
In the paper we develop the optimal local truncation error method (OLTEM) with the non-
diagonal and diagonal mass matrices on unfitted Cartesian meshes for the 3-D time …
diagonal and diagonal mass matrices on unfitted Cartesian meshes for the 3-D time …
A new numerical approach to the solution of PDEs with optimal accuracy on irregular domains and Cartesian meshes—Part 1: the derivations for the wave, heat and …
A Idesman - Archive of Applied Mechanics, 2020 - Springer
A new numerical approach for the time-dependent wave and heat equations as well as for
the time-independent Poisson equation on irregular domains has been developed. Trivial …
the time-independent Poisson equation on irregular domains has been developed. Trivial …
Optimal local truncation error method for 3-D elasticity interface problems
The paper deals with a new effective numerical technique on unfitted Cartesian meshes for
simulations of heterogeneous elastic materials. We develop the optimal local truncation …
simulations of heterogeneous elastic materials. We develop the optimal local truncation …
The 10-th order of accuracy of 'quadratic'elements for elastic heterogeneous materials with smooth interfaces and unfitted Cartesian meshes
Recently, we have developed the optimal local truncation error method (OLTEM) for PDEs
with homogeneous materials on regular and irregular domains and Cartesian meshes as …
with homogeneous materials on regular and irregular domains and Cartesian meshes as …
The numerical solution of the 3D Helmholtz equation with optimal accuracy on irregular domains and unfitted Cartesian meshes
Here, we extend the optimal local truncation error method (OLTEM) recently developed in
our papers to the 3D time-independent Helmholtz equation on irregular domains. Trivial …
our papers to the 3D time-independent Helmholtz equation on irregular domains. Trivial …
11-th order of accuracy for numerical solution of 3-D Poisson equation with irregular interfaces on unfitted Cartesian meshes
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 …
and unfitted Cartesian meshes has been developed in the general 3-D case for the Poisson …