Essays about: "Analysis of PDEs"

Showing result 1 - 5 of 9 essays containing the words Analysis of PDEs.

  1. 1. Symmetry in a free boundary problem

    University essay from KTH/Matematik (Avd.)

    Author : Seuri Basilio Kuosmanen; [2023]
    Keywords : Analysis of PDEs; Bernoulli-type boundary condition; free boundary problem; Laplacian operator; method of moving planes; symmetry; Analys av PDEs; Bernoulli-typ randvärde; frirandsproblem; Laplaceoperatorn; moving-plane metoden; symmetri;

    Abstract : We consider a variational formulation of a Bernoulli-type free boundary problem for the Laplacian operator with discontinuous boundary data. We show the existence of a weak solution to the problem. Moreover, we show that the solution has symmetry properties inherited by symmetric data. READ MORE

  3. 2. Evaluation of Physics Informed Neural Networks in engineering simple structural analysis problems

    University essay from Uppsala universitet/Institutionen för informationsteknologi

    Author : Georgios Nentidis; [2023]
    Keywords : ;

    Abstract : Neural Networks have found many applications for a long time in Machine Learning in different disciplines, and have especially flourished in the last decade because of the ever-increasing processing power especially from GPUs. Because of their ability to operate as universal function approximators and model nonlinear processes, attempts have been made in recent years to be also used for modeling partial differential equation (PDE) solutions. READ MORE

  4. 3. Comparative Analysis of Adaptive Domain Decomposition Algorithms for a Time-Spectral Method

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Vilhelm Dinevik; [2020]
    Keywords : ;

    Abstract : Time-spectral solvers for partial differential equations (PDE) have been explored in various forms during the last few decades. The generalized weighted residual method (GWRM) is one such method with a high accuracy and efficiency. The GWRM has so far been implemented almost exclusively with a uniform grid of subdomains in the spatial domain. READ MORE

  5. 4. Thrust Performance and Heat Load Modelling of Pulse Detonation Engines

    University essay from Luleå tekniska universitet/Institutionen för system- och rymdteknik

    Author : Konstantin Ragozin; [2020]
    Keywords : Pulse Detonation; PDE; Heat Modelling; Thrust Modelling;

    Abstract : Pulse Detonation Engines (PDEs) are propulsion systems that use repeated detonations to generate thrust. Currently in early stages of development, PDEs have been theorised to have advantages over current deflagration based engines. READ MORE

  6. 5. Analysis and Implementation of an Age Structured Model of the Cell Cycle

    University essay from Lunds universitet/Matematik LTH

    Author : Anna Broms; [2017]
    Keywords : age structured model; cell cycle; cell population dynamics; nonlinear integral equations; Romberg s method; Mathematics and Statistics;

    Abstract : In an age-structured model originating from cancer research, the cell cycle is divided into two phases: Phase 1 of variable length, consisting of the biologically so called G1 phase, and Phase 2 of fixed length, consisting of the so called S, G2 and M phases. A system of nonlinear PDEs along with initial and boundary data describes the number densities of cells in the two phases, depending on time and age (where age is the time spent in a phase). READ MORE