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Region Extraction in Mesh Intersection
Related publications (45)
Retraction-based numerical methods for continuation, interpolation and time integration on manifolds
The goal of this thesis is the development and the analysis of numerical methods for problems where the unknown is a curve on a smooth manifold. In particular, the thesis is structured around the three following problems: homotopy continuation, curve inter ...
EPFL2023Adaptive analysis-aware defeaturing
Removing geometrical details from a complex domain is a classical operation in computer aided design for simulation and manufacturing. This procedure simplifies the meshing process, and it enables faster simulations with less memory requirements. However, ...
EPFL2022MATHICSE 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 ...
MATHICSE2021An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations
We introduce a new numerical method for the time-dependent Maxwell equations on unstructured meshes in two space dimensions. This relies on the introduction of a new mesh, which is the barycentric-dual cellular complex of the starting simplicial mesh, and ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2021Tessellation and lmprovement of Simplicial Meshes using Neural Networks
Modern mesh generation addresses the development of robust algorithms that construct a discrete representation of the geometry into polytopal elements conforming to divergent properties: (i) fidelity to complex geometrical features, (ii) support for high s ...
EPFL2021Remarks on Poincare and interpolation estimates for Truncated Hierarchical B-splines
This paper should be considered as an addendum to [A. Buffa and C. Giannelli, Adaptive isogeometric methods with hierarchical splines: Error estimator and convergence, Math. Models Methods Appl. Sci. 26 (2016) 1-25] and [A. Buffa and C. Giannelli, Adaptive ...
2021Isogeometric analysis with C1 hierarchical functions on planar two-patch geometries
Adaptive isogeometric methods for the solution of partial diifferential equations rely on the construction of locally refinable spline spaces. A simple and efficient way to obtain these spaces is to apply the multi-level construction of hierarchical spline ...
2020An adaptive algorithm for the transport equation with time dependent velocity
An a posteriori error estimate is derived for the approximation of the transport equation with a time dependent transport velocity. Continuous, piecewise linear, anisotropic finite elements are used for space discretization, the Crank-Nicolson scheme schem ...
2020The OFFBEAT multi-dimensional fuel behavior solver
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The OpenFOAM Fuel BEhavior Analysis Tool, or OFFBEAT, is a multi-dimensional fuel performance code under collaborative development at the Laboratory for Reactor Physics and Systems Behaviour (LRS) of the EPFL and at the PSI. The code can be used both for s ...
ELSEVIER SCIENCE SA2020Adaptive algorithms for two fluids flows with anisotropic finite elements and order two time discretizations
This thesis is devoted to the derivation of a posteriori error estimates for the numerical approximation of fluids flows separated by a free surface. Based on these estimates, error indicators are introduced and adaptive algorithms are proposed to solve th ...
EPFL2020