Effect of enrichment functions on GFEM solutions of time-dependent conduction heat transfer problems
From MaRDI portal
Publication:2049711
DOI10.1016/j.apm.2020.04.018zbMath1481.80004OpenAlexW3017707977WikidataQ107160434 ScholiaQ107160434MaRDI QIDQ2049711
Publication date: 27 August 2021
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2020.04.018
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Diffusive and convective heat and mass transfer, heat flow (80A19)
Related Items
A gradient continuous smoothed GFEM for heat transfer and thermoelasticity analyses ⋮ Local adaptive \(q\)-enrichments and generalized finite elements for transient heat diffusion problems
Cites Work
- Unnamed Item
- Time-independent hybrid enrichment for finite element solution of transient conduction-radiation in diffusive grey media
- An enriched finite element model with \(q\)-refinement for radiative boundary layers in glass cooling
- Efficient analysis of transient heat transfer problems exhibiting sharp thermal gradients
- Stable generalized finite element method (SGFEM)
- A partition of unity enriched dual boundary element method for accurate computations in fracture mechanics
- Transient analysis of sharp thermal gradients using coarse finite element meshes
- Generalized finite element analysis of three-dimensional heat transfer problems exhibiting sharp thermal gradients
- The generalized finite element method for Helmholtz equation. II: Effect of choice of handbook functions, error due to absorbing boundary conditions and its assessment
- Analysis and applications of a generalized finite element method with global-local enrichment functions
- An a-posteriori error estimator for linear elastic fracture mechanics using the stable generalized/extended finite element method
- Meshless methods: a review and computer implementation aspects
- The partition of unity finite element method: basic theory and applications
- Wave interpolation finite elements for Helmholtz problems with jumps in the wave speed
- Solving thermal and phase change problems with the extended finite element method
- On principles for the selection of shape functions for the generalized finite element method
- Wave boundary elements: a theoretical overview presenting applications in scattering of short waves
- The design and analysis of the generalized finite element method
- Explicit time integration with lumped mass matrix for enriched finite elements solution of time domain wave problems
- A partition of unity finite element method for three-dimensional transient diffusion problems with sharp gradients
- A posteriori error estimation for generalized finite element methods
- The generalized finite element method for Helmholtz equation: theory, computation, and open problems
- A discontinuous enrichment method for capturing evanescent waves in multiscale fluid and fluid/solid problems
- An eXtended Finite Element Method/Lagrange multiplier based approach for fluid-structure interaction
- A partition of unity FEM for time-dependent diffusion problems using multiple enrichment functions
- Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems
- A stabilized formulation for the advection-diffusion equation using the Generalized Finite Element Method
- Generalized finite element method using proper orthogonal decomposition
- Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems
- The discontinuous enrichment method for elastic wave propagation in the medium-frequency regime
- An Extended Finite Element Method for Two-Phase Fluids
- Comparison of two wave element methods for the Helmholtz problem
- Numerical modelling of elastic wave scattering in frequency domain by the partition of unity finite element method
- Parametric enrichment adaptivity by the extended finite element method
- Elastic crack growth in finite elements with minimal remeshing
- Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem
- The partition-of-unity method for linear diffusion and convection problems: accuracy, stabilization and multiscale interpretation
- The Ultra-Weak Variational Formulation for Elastic Wave Problems
- A finite element method for crack growth without remeshing
- A Wavenumber Independent Boundary Element Method for an Acoustic Scattering Problem
- GENERALIZED FINITE ELEMENT METHODS — MAIN IDEAS, RESULTS AND PERSPECTIVE
- Modeling holes and inclusions by level sets in the extended finite element method
This page was built for publication: Effect of enrichment functions on GFEM solutions of time-dependent conduction heat transfer problems
