A novel Trefftz method for solving the multi-dimensional direct and Cauchy problems of Laplace equation in an arbitrary domain-Reference-Cited by-同舟云学术

A novel Trefftz method for solving the multi-dimensional direct and Cauchy problems of Laplace equation in an arbitrary domain

Published:2018-03 Issue: Volume:25 Page:16-27
ISSN:1877-7503
Container-title:Journal of Computational Science
language:en
Short-container-title:Journal of Computational Science

Author:

Lin Ji,Liu Chein-Shan,Chen Wen,Sun Linlin

Funder

National Natural Science Foundation of China

Natural Science Foundation of Jiangsu Province

The Thousand Talents Plan of China

Fundamental Research Funds for the Central Universities

Publisher

Elsevier BV

Subject

Modelling and Simulation,General Computer Science,Theoretical Computer Science

Reference35 articles.

1. A direct integral equation method for a Cauchy problem for the Laplace equation in 3-dimensional semi-infinite domains;Chapko;Comput. Model. Eng. Sci.,2012

2. Generalized finite difference method for solving two-dimensional inverse Cauchy problems;Fan;Inverse Probl. Sci. Eng.,2015

3. Computation for multidimensional Cauchy problem;Wei;SIAM J. Control Optim.,2003

4. A BEM formulation in conjunction with parametric equation approach for three-dimensional Cauchy problems of steady heat conduction;Wang;Eng. Anal. Bound. Elem.,2016

5. A Robin-type non-overlapping domain decomposition procedure for second order elliptic problems;Pradhan;Adv. Comput. Math.,2011

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The Trefftz methods for 3D biharmonic equation using directors and in-plane biharmonic functions;Engineering with Computers;2024-04-29

2. Investigation on Thermal Loads in Steady-State Conditions with the Use of the Solution to the Inverse Problem;Heat Transfer Engineering;2022-08-24

3. Trefftz numerical functions for solving inverse heat conduction problems;International Journal of Thermal Sciences;2022-07

4. Modeling Transient Flows in Heterogeneous Layered Porous Media Using the Space–Time Trefftz Method;Applied Sciences;2021-04-11

5. A homogenization function technique to solve the 3D inverse Cauchy problem of elliptic type equations in a closed walled shell;Inverse Problems in Science and Engineering;2020-09-03