Essays about: "Partial Differential Equations"

Showing result 21 - 25 of 89 essays containing the words Partial Differential Equations.

1. 21. Exact Solutions in Planar Elasticity via the Cauchy-Riemann Equations

   University essay from Umeå universitet/Institutionen för fysik

   Author : Andreas Granath; [2022]
   Keywords : ;

   Abstract : In many engineering applications, one is interested in structures with elastic properties which undergo deformation due to external loads. This interest has motivated a deep study of the equations underlying the deformation and how to solve them during the two last centuries. READ MORE

3. 22. Discontinuous Galerkin Method for Liquid Chromatography Modelling

   University essay from Umeå universitet/Institutionen för fysik

   Author : Sara Culligan; [2022]
   Keywords : ;

   Abstract : Chromatography is a separation technique used predominantly by the medical industry in purification and extraction of components in a solution. The setup is a column filled with resin particles where a solution of two components is filtered and separated due to different rates of interaction with the resin particles. READ MORE

4. 23. Conservative Discontinuous Cut Finite Element Methods: Convection-Diffusion Problems in Evolving Bulk-Interface Domains

   University essay from KTH/Matematik (Inst.)

   Author : Sebastian Myrbäck; [2022]
   Keywords : numerical analysis; mathematical modeling; convection-diffusion equation; partial differential equation; unfitted method; CutFEM; finite element method; discontinuous Galerkin method; numerisk analys; matematisk modellering; konvektions-diffusionsekvationer; partiella differentialekvationer; finita elementmetoden; diskontinuerliga Galerkinmetoden;

   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

5. 24. Approximating the element matrices in an unfitted finite element method using neural networks

   University essay from Umeå universitet/Institutionen för fysik

   Author : Amanda Bertgren; [2022]
   Keywords : Finite element method; CutFEM; neural networks; machine learning;

   Abstract : 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

6. 25. Inverse source modeling of roll induced magnetic signature

   University essay from Uppsala universitet/Avdelningen för beräkningsvetenskap

   Author : Erik Thermaenius; [2022]
   Keywords : inverse modeling; inverse; modeling; magnetic; signature; source modeling; tikhonov; roll; magnetic silencing; regularization; regularisation; induction; dipole; dipoles; Helmholtz; inversmodellering; magnetisk; signatur; källmodellering; rullning; rullningsinducerad; regularisering; dipol; dipoler;

   Abstract : Vessels constructed in electrically conductive materials give rise to frequency-dependent, induced magnetic fields when waves of water cause them to roll in the Earth's magnetic field. These fields, typically referred to as roll-induced magnetic vortex fields, are a component of the ship's overall signature, where signature refers to measurable quantities which can reveal or identify objects. READ MORE