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 …
On the significance of basis interpolation for accurate lumped mass isogeometric formulation
X Li, D Wang - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
Although the consistent mass isogeometric formulation enjoys superior frequency accuracy
compared with the conventional finite element method, the lumped mass isogeometric …
compared with the conventional finite element method, the lumped mass isogeometric …
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 …
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 …
Synchronous consistent integration for superconvergent isogeometric analysis of structural vibrations
Z Sun, D Wang, S Hou, A Shen - Computer Methods in Applied Mechanics …, 2024 - Elsevier
A commonly used procedure to improve the frequency accuracy of isogeometric structural
vibration analysis is the design of special superconvergent quadrature rules in accordance …
vibration analysis is the design of special superconvergent quadrature rules in accordance …
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 …
3rd and 11th orders of accuracy of 'linear'and 'quadratic'elements for Poisson equation with irregular interfaces on Cartesian meshes
Purpose The purpose of this paper is as follows: to significantly reduce the computation time
(by a factor of 1,000 and more) compared to known numerical techniques for real-world …
(by a factor of 1,000 and more) compared to known numerical techniques for real-world …
Optimal local truncation error method for solution of 2-D elastodynamics problems with irregular interfaces and unfitted Cartesian meshes as well as for post …
The optimal local truncation error method (OLTEM) with unfitted Cartesian meshes recently
developed for the scalar wave and heat equations for heterogeneous materials is extended …
developed for the scalar wave and heat equations for heterogeneous materials is extended …
Optimal local truncation error method for solution of elasticity problems for heterogeneous materials with irregular interfaces and unfitted Cartesian meshes
The optimal local truncation error method (OLTEM) with unfitted Cartesian meshes was
recently developed for PDEs with homogeneous materials on regular and irregular domains …
recently developed for PDEs with homogeneous materials on regular and irregular domains …