An efficient localized Trefftz-based collocation scheme for heat conduction analysis in two kinds of heterogeneous materials under temperature loading
This paper presents a novel localized collocation Trefftz method (LCTM) for heat conduction
analysis in two kinds of heterogeneous materials (functionally graded materials and multi …
analysis in two kinds of heterogeneous materials (functionally graded materials and multi …
A novel localized collocation solver based on Trefftz basis for potential-based inverse electromyography
This paper introduces a novel localized collocation Trefftz method (LCTM) for potential-
based inverse electromyography (PIE). PIE is a noninvasive technique to calculate the …
based inverse electromyography (PIE). PIE is a noninvasive technique to calculate the …
Generalized finite difference method for solving two-dimensional inverse Cauchy problems
In this paper, a meshless numerical scheme is adopted for solving two-dimensional inverse
Cauchy problems which are governed by second-order linear partial differential equations …
Cauchy problems which are governed by second-order linear partial differential equations …
[PDF][PDF] A two-side equilibration method to reduce the condition number of an ill-posed linear system
CS Liu - Comput. Model. Eng. Sci, 2013 - cdn.techscience.cn
In the present paper, we propose a novel two-side equilibration method to properly reduce
the condition number of a given non-singular matrix only through a few operations. Then …
the condition number of a given non-singular matrix only through a few operations. Then …
The meshless solutions of Laplacian non-harmonic and Cauchy problems by developing novel hybrid methods
CS Liu - Engineering Analysis with Boundary Elements, 2023 - Elsevier
In the first part of the paper a non-harmonic boundary value problem of the Laplace equation
is solved by new hybrid methods. We propose four hybrid methods, namely the Trefftz-Trefftz …
is solved by new hybrid methods. We propose four hybrid methods, namely the Trefftz-Trefftz …
A multiple-scale Pascal polynomial triangle solving elliptic equations and inverse Cauchy problems
The polynomial expansion method is a useful tool to solve partial differential equations
(PDEs). However, the researchers seldom use it as a major medium to solve PDEs due to its …
(PDEs). However, the researchers seldom use it as a major medium to solve PDEs due to its …
The multiple-scale polynomial Trefftz method for solving inverse heat conduction problems
The polynomial Trefftz method consists of the polynomial type solutions as bases, providing
a cheap boundary-type meshless method to solve the heat conduction equation, since the …
a cheap boundary-type meshless method to solve the heat conduction equation, since the …
A multiple-scale Pascal polynomial for 2D Stokes and inverse Cauchy–Stokes problems
The polynomial expansion method is a useful tool for solving both the direct and inverse
Stokes problems, which together with the pointwise collocation technique is easy to derive …
Stokes problems, which together with the pointwise collocation technique is easy to derive …
An integral equation method to recover non-additive and non-separable heat source without initial temperature
CS Liu - International Journal of Heat and Mass Transfer, 2016 - Elsevier
When the unknown heat source is a non-additive and non-separable function of space–time
it is very difficult to recover it. The paper proposes a more difficult mixed type inverse heat …
it is very difficult to recover it. The paper proposes a more difficult mixed type inverse heat …
On the propagation of nonlinear water waves in a three-dimensional numerical wave flume using the generalized finite difference method
Nonlinear water waves are common physical phenomena in the field of coastal and ocean
engineering, which plays a critical role in the investigation of hydrodynamics regarding …
engineering, which plays a critical role in the investigation of hydrodynamics regarding …