本研究針對無元素法分析提出平行化的演算法，以無影響節點排除以及網格區域性分割等策略達成系統資源之記憶體的有效使用以及平行分析之運算效能的提升。
分析程式之前後處理程式，為提供使用者方便建立分析模型及檢視分析結果之圖型化介面，好的前後處理程式能加強使用者與分析程式之間的互動，並充分發揮分析程式之功能，有限元素分析之前後處理程式，發展已有一段時間，其模型之建立與分析結果之呈現已有廣為接受的標準模式，然而無元素法為近年來新興研究發展中的數值方法，現有的無元素法分析程式，多仍以編輯文字檔案的方式來處理分析模型之設定與輸出分析結果。故有必要針對無元素分析研究其之圖型化使用者介面，以期為無元素分析提出一套合乎功能需求、有效率且易使用的前後處理模式，並據以開發原型程式驗證其使用性。
本研究針對二維無元素分析，使用JAVA SWING程式語言作為開發，前處理以視窗輸入的方式建立模型，後處理展示出節點的變位，並提出一系列的建模基本模式，有長方形、扇形、梯形、增減節點網格等模式，使用者可基於這些基本模式的搭配使用，有效率地建立廣泛類型的分析模型，例如由長方形模式組合而成L形、H形、T形等，或是使用長方形和梯形模式組成有裂縫的模型，易可用增減節點模式來處理應力集中等問題，可為無元素法建立可供參考的模式。

The Element Free method (EFM) is a developing method. Since most of the EFM programs today still handle the pre- and post- processing using file I/O, a standard practice for developing the Graphical User Interface (GUI) for general EFM analysis is necessary. This research attempt to propose a GUI based model for building analysis models and presenting analysis results for the Element Free method. A pre-processing model is proposed in this paper based on the study of various types of 2D EFM analysis cases. The model consists of three basic building modes, which are rectangle mode, fan mode, and trapezoid mode to create corresponding building blocks for building a model compositely. In addition, the adjusting modes for adding and deleting individual node or cell are also included for the adjustment of a model in detail. By combining the uses of these building and adjusting modes, various types of EFM models are expected to be built conveniently and efficiently. On the other hand, the general algorithms to display model deformation and model stress based on analysis result for post-processing are also proposed in this paper.

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