An Extended Finite Element Method for the Analysis of Submicron Heat Transfer Phenomena

DOI10.1007/978-90-481-9809-2_11zbMath1323.74090OpenAlexW151299669MaRDI QIDQ3447722

Kurt Maute, Pilhwa Lee, Ronggui Yang

Publication date: 28 October 2015

Published in: Multiscale Methods in Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-90-481-9809-2_11

zbMATH Keywords

extended finite element methoddiffusive mismatch modelgray phonon modelphonon Boltzmann transport equationstabilized Lagrange multiplier formulation

Mathematics Subject Classification ID

Uses Software

• XFEM

Cites Work

• Unnamed Item
• Unnamed Item
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods. I. Least square formulations and conjugate gradient solution of the continuous problems
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• A level set approach for computing solutions to incompressible two-phase flow
• A level-set method for shape optimization.
• Level set methods and dynamic implicit surfaces
• Streamline upwind Petrov-Galerkin methods for the steady-state Boltzmann transport equation
• An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction
• The extended finite element method for rigid particles in Stokes flow
• The immersed boundary method
• Imposing Dirichlet boundary conditions in the extended finite element method
• A stable Lagrange multiplier space for stiff interface conditions within the extended finite element method
• Mixed and Hybrid Finite Element Methods
• Elastic crack growth in finite elements with minimal remeshing
• Geometric Level Set Methods in Imaging, Vision, and Graphics
• On discontinuous Galerkin methods
• The extended finite element method (XFEM) for solidification problems
• Topology optimization for nano-scale heat transfer
• A finite element method for crack growth without remeshing
• A distributed Lagrange multiplier/fictitious domain method for particulate flows
• On strategies for enforcing interfacial constraints and evaluating jump conditions with the extended finite element method
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

This page was built for publication: An Extended Finite Element Method for the Analysis of Submicron Heat Transfer Phenomena