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The Virtual Element Method and its Applications
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The virtual element method (VEM) is a recent Galerkin finite element method suited to the numerical discretization of partial differential equations on unstructured meshes with polygonal and polyhedral elements. The VEM was proposed to the scientific community in 2013, but despite its youthness, it has now reached a high maturity level. Indeed, a huge amount of work in this decade has been carried out to develop, analyse and apply the method and its many variants to a wide range of applications. The purpose of this book is to present the current state of the art of the VEM by collecting contributions from many of the most active researchers in this field and covering a broad range of topics: from the mathematical foundation to real life computational applications.
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