A hybrid-Trefftz finite element platform for solid and porous elastodynamics
Hybrid-Trefftz finite elements are well suited for modeling the response of materials under
highly transient loading. Their approximation bases are built using functions that satisfy …
highly transient loading. Their approximation bases are built using functions that satisfy …
FreeHyTE: a hybrid-Trefftz finite element platform
ID Moldovan, I Cismaşiu - Advances in Engineering Software, 2018 - Elsevier
FreeHyTE is a public, open-source and user-friendly software for the solution of initial
boundary value problems using hybrid-Trefftz finite elements. FreeHyTE is designed to be …
boundary value problems using hybrid-Trefftz finite elements. FreeHyTE is designed to be …
Trefftz methods and Taylor series
J Yang, M Potier-Ferry, K Akpama, H Hu… - … Methods in Engineering, 2020 - Springer
The paper discusses Trefftz discretization techniques with a focus on their coupling with
shape functions computed by the method of Taylor series. The paper highlights are, on one …
shape functions computed by the method of Taylor series. The paper highlights are, on one …
Trefftz‐based dual reciprocity method for hyperbolic boundary value problems
ID Moldovan, L Radu - International Journal for Numerical …, 2016 - Wiley Online Library
A new dual reciprocity‐type approach to approximating the solution of non‐homogeneous
hyperbolic boundary value problems is presented in this paper. Typical variants of the dual …
hyperbolic boundary value problems is presented in this paper. Typical variants of the dual …
Hybrid-Trefftz displacement elements for three-dimensional elastodynamics
In this paper the formulation of hybrid-Trefftz displacement finite elements for transient
problems in three-dimensional elastic media is derived. The mathematical model is derived …
problems in three-dimensional elastic media is derived. The mathematical model is derived …
Three‐dimensional hybrid‐Trefftz displacement elements for poroelastodynamic problems in saturated media
N Climent, ID Moldovan… - International Journal for …, 2022 - Wiley Online Library
The hybrid‐Trefftz displacement element formulation for poroelastodyamics in three‐
dimensional saturated media is presented in this article. The governing equations are …
dimensional saturated media is presented in this article. The governing equations are …
A novel displacement-based Trefftz plate element with high distortion tolerance for orthotropic thick plates
Y Shang, CF Li, MJ Zhou - Engineering Analysis with Boundary Elements, 2019 - Elsevier
In this work, a simple but robust 4-node displacement-based Trefftz plate element is
proposed for efficiently analysis of orthotropic plate structures. This is achieved via two …
proposed for efficiently analysis of orthotropic plate structures. This is achieved via two …
A new approach to non-homogeneous hyperbolic boundary value problems using hybrid-Trefftz stress finite elements
ID Moldovan - Engineering Analysis with Boundary Elements, 2016 - Elsevier
A new approach to the solution of non-homogeneous hyperbolic boundary value problems
is casted here using the hybrid-Trefftz stress/flux elements. Similarly to the Dual Reciprocity …
is casted here using the hybrid-Trefftz stress/flux elements. Similarly to the Dual Reciprocity …
Hybrid-Trefftz finite elements for non-homogeneous parabolic problems using a novel dual reciprocity variant
ID Moldovan, A Coutinho, I Cismaşiu - Engineering Analysis with Boundary …, 2019 - Elsevier
A new hybrid-Trefftz finite element for the solution of transient, non-homogeneous parabolic
problems is formulated. The governing equations are first discretized in time and reduced to …
problems is formulated. The governing equations are first discretized in time and reduced to …
Unified Hybrid-Trefftz Finite Element Formulation for Dynamic Problems
ID Moldovan, I Cismaşiu, JAT Freitas - Advances in Trefftz Methods and …, 2020 - Springer
Hybrid-Trefftz finite elements combine favourable features of the Finite and Boundary
Element methods. The domain of the problem is divided into finite elements, where the …
Element methods. The domain of the problem is divided into finite elements, where the …