二维电阻抗方程Dirichlet问题数值解新方法的首次刻画
First characterization of a new method for numerically solving the Dirichlet problem of the two-dimensional Electrical Impedance Equation
摘要：
基于现代伪解析函数理论的基本原理，分析了一种数值逼近二维电阻抗方程Dirichlet边值问题解的新方法。通过插值分段可分离变量电导率函数进行分析，这些电导率函数最终用于数值计算，以获得有限组的正交函数，其线性组合成功地接近所施加的边界条件。为了保证数值方法的有效性，我们研究了六个不同的电导率的例子。考虑电阻抗方程的一个精确解，选择每种情况的边界条件。本文的工作旨在讨论这些结果对电阻抗断层成像领域的贡献。
英文摘要：
Based upon elements of the modern Pseudoanalytic Function Theory, we analyse a new method for numerically approaching the solution of the Dirichlet boundary value problem, corresponding to the two-dimensional Electrical Impedance Equation. The analysis is performed by interpolating piecewise separable-variables conductivity functions, that are eventually used in the numerical calculations in order to obtain finite sets of orthonormal functions, whose linear combinations succeed to approach the imposed boundary conditions. To warrant the effectiveness of the numerical method, we study six different examples of conductivity. The boundary condition for every case is selected considering one exact solution of the Electrical Impedance Equation. The work intends to discuss the contributions of these results into the field of the Electrical Impedance Tomography.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
