Unit
Chair of Numerical Modelling and Simulation
LaboratoryRelated publications (114)
An a posteriori error estimator for isogeometric analysis on trimmed geometries
Annalisa Buffa, Rafael Vazquez Hernandez, Ondine Gabrielle Chanon
Trimming consists of cutting away parts of a geometric domain, without reconstructing a global parametrization (meshing). It is a widely used operation in computer-aided design, which generates meshes that are unfitted with the described physical object. T ...
2022Conservation of Forces and Total Work at the Interface Using the Internodes Method
The Internodes method is a general purpose method to deal with non-conforming discretizations of partial differential equations on 2D and 3D regions partitioned into disjoint subdomains. In this paper we are interested in measuring how much the Internodes ...
2022Quadrature-free immersed isogeometric analysis
Pablo Antolin Sanchez, Thibaut Hirschler
This paper presents a novel method for solving partial differential equations on three-dimensional CAD geometries by means of immersed isogeometric discretizations that do not require quadrature schemes. It relies on a newly developed technique for the eva ...
SPRINGER2022Analysis-aware defeaturing: Problem setting and a posteriori estimation
Annalisa Buffa, Rafael Vazquez Hernandez, Ondine Gabrielle Chanon
Defeaturing consists in simplifying geometrical models by removing the geometrical features that are considered not relevant for a given simulation. Feature removal and simplification of computer-aided design models enables faster simulations for engineeri ...
2022Nonsmooth and nonenergetic solutions of PDE’s through convex integration
In this Master thesis we explore the convex integration method by S. Müller and V. Šverák and its applications to partial differential equations. In particular, we use it to build very irregular solutions to elliptic systems. We also apply this method to b ...
2022MATHICSE Technical Report: Immersed Boundary-Conformal Isogeometric Method for Linear Elliptic Problems
Annalisa Buffa, Pablo Antolin Sanchez, Xiaodong Wei
We present a novel isogeometric method, namely the Immersed Boundary-Conformal Method (IBCM), that features a layer of discretization conformal to the boundary while employing a simple background mesh for the remaining domain. In this manner, we leverage t ...
MATHICSE2021Immersed boundary-conformal isogeometric method for linear elliptic problems
Annalisa Buffa, Pablo Antolin Sanchez, Xiaodong Wei
We present a novel isogeometric method, namely the Immersed Boundary-Conformal Method (IBCM), that features a layer of discretization conformal to the boundary while employing a simple background mesh for the remaining domain. In this manner, we leverage t ...
2021Overlapping Multipatch Isogeometric Method With Minimal Stabilization
Annalisa Buffa, Pablo Antolin Sanchez, Xiaodong Wei, Riccardo Puppi
We present a novel method for isogeometric analysis (IGA) to directly work on geometries constructed by Boolean operations including difference (i.e., trimming), union, and intersection. Particularly, this work focuses on the union operation, which involve ...
SIAM PUBLICATIONS2021MATHICSE Technical Report: THU-Splines - Highly Localized Refinement on Smooth Unstructured Splines
We present a novel method named truncated hierarchical unstructured splines (THU-splines) that supports both local h-refinement and unstructured quadrilateral meshes. In a THU-spline construction, an unstructured quadrilateral mesh is taken as the input co ...
MATHICSE2021MATHICSE Technical Report : Analysis-aware defeaturing: problem setting and a posteriori estimation
Annalisa Buffa, Rafael Vazquez Hernandez, Ondine Gabrielle Chanon
Defeaturing consists in simplifying geometrical models by removing the geometrical features that are considered not relevant for a given simulation. Feature removal and simplification of computer-aided design models enables faster simulations for engineeri ...
EPFL2021