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Hittade 4 avhandlingar som matchar ovanstående sökkriterier.

  1. 1. Cut Finite Element Methods on Overlapping Meshes: Analysis and Applications

    Författare :Carl Lundholm; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; parabolic problem; multi-objective optimization; multi-mesh; energy analysis; CutFEM; augmented reality; overlapping meshes; moving meshes;

    Sammanfattning : This thesis deals with both analysis and applications of cut finite element methods (CutFEMs) on overlapping meshes. By overlapping meshes we mean a mesh hierarchy with a background mesh at the bottom and one or more overlapping meshes that are stacked on top of it. LÄS MER

  2. 2. Applications of Finite Element Simulation and Mixed Reality in Architecture and Built Environment

    Författare :Carl Lundholm; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; augmented reality; FEniCS; multimesh; CutFEM; multi-objective optimization; mixed reality; HoloLens; virtual reality; view computation; finite element method;

    Sammanfattning : This thesis presents applications in architecture and built environment that are based on the finite element method and mixed reality. The work consists of two main components: two projects presented in three papers. The first project (presented in Paper I) concerns an application in urban design, thus built environment on a larger scale. LÄS MER

  3. 3. Finite Element Methods for Interface Problems

    Författare :David Samvin; Peter Hansbo; Kent Salomonsson; Jönköping University; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Finite Element Method; Interface; Embedded; CutFEM; Finita elementmetoden; Sprickor; CutFEM;

    Sammanfattning : This thesis focuses on computationally efficient methods for flow in fractured porous media. Two approaches are presented where the interface is embedded on the underlying finite element mesh. The methods allow for representation of the interface geometry from the underlying discretization and with discontinuities across the interface. LÄS MER

  4. 4. Cut finite element methods for interface problems

    Författare :Thomas Frachon; Sara Zahedi; Anders Logg; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Tillämpad matematik och beräkningsmatematik; Applied and Computational Mathematics;

    Sammanfattning : Interface problems modeled by Partial Differential Equations (PDEs) appear in a wide range of fields such as biology, fluid dynamics, micro and nano-technologies. In computer simulations of such problems a fundamental task is to numerically solve PDEs in/on domains defined by deformable interfaces/geometries. LÄS MER