The Virtual Element Method and Its Applications

​Paola F. Antonietti is a full professor in numerical analysis at Politecnico di Milano, Italy. Her research interests concern the development and analysis of numerical methods for partial differential equations with applications to computational geosciences. She is particularly interested in nonstandard high-order finite element methods, including virtual elements and discontinuous Galerkin methods on polygonal and polyhedral grids.

Lourenço Beirão da Veiga is a full professor in numerical analysis at the University of Milano-Bicocca, Italy. His research mainly concerns the development and theoretical analysis of numerical methods for partial differential equations, with a particular focus on solid and fluid mechanics. His more recent interests are on novel and nonstandard methodologies such as isogeometric analysis, mimetic finite differences, and virtual element methods.

Gianmarco Manzini is a research director of the Consiglio Nazionale delle Ricerche in Pavia, Italy and a senior scientist at the Los Alamos National Laboratory in Los Alamos, New Mexico. His research interests mainly concern the design and implementation of numerical methods for partial differential equations, with a special focus on numerical methods for polygonal and polyhedral meshes such as finite volumes, mimetic finite differences, and virtual element methods.

Paola F. Antonietti是意大利米蘭理工大學的數值分析全職教授。她的研究興趣涉及開發和分析應用於計算地球科學的偏微分方程數值方法。她對非標準高階有限元方法特別感興趣，包括在多邊形和多面體網格上的虛擬元素和不連續Galerkin方法。

Lourenço Beirão da Veiga是意大利米蘭比科卡大學的數值分析全職教授。他的研究主要涉及開發和理論分析應用於偏微分方程的數值方法，尤其關注固體力學和流體力學。他最近的研究興趣包括等幾何分析、模擬有限差分和虛擬元素方法等新穎和非標準方法。

Gianmarco Manzini是意大利帕維亞國家研究委員會的研究主任，也是洛斯阿拉莫斯國家實驗室的高級科學家。他的研究主要涉及設計和實施應用於偏微分方程的數值方法，特別關注多邊形和多面體網格的數值方法，如有限體積法、模擬有限差分法和虛擬元素方法。