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 …
Geometric modeling, isogeometric analysis and the finite cell method
The advent of isogeometric analysis (IGA) using the same basis functions for design and
analysis constitutes a milestone in the unification of geometric modeling and numerical …
analysis constitutes a milestone in the unification of geometric modeling and numerical …
[PDF][PDF] The p-version of the finite element and finite cell methods
In the first part of this chapter the basic algorithmic structure and performance characteristics
of the p-version of the finite element method are surveyed with reference to elliptic problems …
of the p-version of the finite element method are surveyed with reference to elliptic problems …
Small and large deformation analysis with the p- and B-spline versions of the Finite Cell Method
Abstract The Finite Cell Method (FCM) is an embedded domain method, which combines the
fictitious domain approach with high-order finite elements, adaptive integration, and weak …
fictitious domain approach with high-order finite elements, adaptive integration, and weak …
The hp‐d‐adaptive finite cell method for geometrically nonlinear problems of solid mechanics
The finite cell method (FCM) combines the fictitious domain approach with the p‐version of
the finite element method and adaptive integration. For problems of linear elasticity, it offers …
the finite element method and adaptive integration. For problems of linear elasticity, it offers …
[PDF][PDF] Ghost-fluid-based sharp interface methods for multi-material dynamics: a review
L Xu, TG Liu - Commun. Comput. Phys., 2023 - global-sci.com
The ghost fluid method (GFM) provides a simple way to simulate the interaction of
immiscible materials. Especially, the modified GFM (MGFM) and its variants, based on the …
immiscible materials. Especially, the modified GFM (MGFM) and its variants, based on the …
Feel++: A computational framework for galerkin methods and advanced numerical methods
This paper presents an overview of a unified framework for finite element and spectral
element methods in 1D, 2D and 3D in C++ called Feel++. The article is divided in two parts …
element methods in 1D, 2D and 3D in C++ called Feel++. The article is divided in two parts …
[HTML][HTML] The finite cell method for linear thermoelasticity
The recently introduced Finite Cell Method (FCM) combines the fictitious domain idea with
the benefits of high-order Finite Elements. While previous publications concentrated on …
the benefits of high-order Finite Elements. While previous publications concentrated on …
Shell finite cell method: a high order fictitious domain approach for thin-walled structures
This article presents a generalization of the recently proposed Finite Cell Method to thin-
walled structures. This approach uses a combination of well known Fictitious Domain …
walled structures. This approach uses a combination of well known Fictitious Domain …
FCMLab: A finite cell research toolbox for MATLAB
N Zander, T Bog, M Elhaddad, R Espinoza, H Hu… - … in engineering software, 2014 - Elsevier
Abstract The recently introduced Finite Cell Method combines the fictitious domain idea with
the benefits of high-order finite elements. Although previous publications demonstrated the …
the benefits of high-order finite elements. Although previous publications demonstrated the …