Isogeometric Analysis on V-reps: First results

被引：41

作者：

Antolin, Pablo ^{[1
]}

Buffa, Annalisa ^{[1
,2
]}

Martinelli, Massimiliano ^{[2
]}

机构：

[1] Ecole Polytech Fed Lausanne, Inst Math, Lausanne, Switzerland

[2] CNR, Ist Matemat Applicata & Tecnol Informat E Magenes, Pavia, Italy

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2019年 / 355卷

基金：

欧洲研究理事会;

关键词：

Numerical methods for PDEs; Isogeometric methods; Trimmed geometries; V-reps; FINITE-ELEMENT-METHOD; CELL METHOD; NURBS; APPROXIMATION; DESIGN; ROBUST; QUADRATURE; SPLINES; NEUMANN; MESH;

D O I：

10.1016/j.cma.2019.07.015

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Inspired by the introduction of Volumetric Modeling via volumetric representations (V-reps) by Massarwi and Elber in 2016, in this paper we present a novel approach for the construction of isogeometric numerical methods for elliptic PDEs on trimmed geometries, seen as a special class of more general V-reps. We develop tools for approximation and local re-parameterization of trimmed elements for three dimensional problems, and we provide a theoretical framework that fully justifies our algorithmic choices. We validate our approach both on two and three dimensional problems, for diffusion and linear elasticity. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：976 / 1002

页数：27

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