Essays about: "CutFEM"
Found 4 essays containing the word CutFEM.
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1. Conservative Discontinuous Cut Finite Element Methods: Convection-Diffusion Problems in Evolving Bulk-Interface Domains
University essay from KTH/Matematik (Inst.)Abstract : This work entails studying unfitted finite element discretizations for convection-diffusion equations in domains that evolve in time. In particular, these partial differential equations model the evolution of the concentration of soluble surfactants in bulk-interface domains. READ MORE
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2. Approximating the element matrices in an unfitted finite element method using neural networks
University essay from Umeå universitet/Institutionen för fysikAbstract : This study investigates the possibility of combining an unfitted finite element method, CutFEM, with neural networks, in an attempt to reduce the computational time on evolving domains. Finite element methods are used to solve partial differential equations by fitting a spatial and temporal discretisation to the momentous domain. READ MORE
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3. Cut finite element methods for incompressibleflows with unfitted interfaces
University essay from Umeå universitet/Institutionen för fysikAbstract : Problems with time-evolving domains are frequently occurring in computationalfluid dynamics and many other fields of science and engineering.Unfitted methods, where the computational mesh does not conform to thegeometry, are of great interest for handling such problems, since they removethe burden of mesh generation. READ MORE
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4. A Cut Finite Element Method for Partial Differential Equations on Evolving Surfaces
University essay from KTH/Numerisk analys, NAAbstract : This thesis deals with cut finite element methods (CutFEM) for solving partial differential equations (PDEs) on evolving interfaces. Such PDEs arise for example in the study of insoluble surfactants in multiphase flow. In CutFEM, the interface is embedded in a larger mesh which need not respect the geometry of the interface. READ MORE
