[HTML][HTML] Analysis of the discontinuous Petrov–Galerkin method with optimal test functions for the Reissner–Mindlin plate bending model
We analyze the discontinuous Petrov–Galerkin (DPG) method with optimal test functions
when applied to solve the Reissner–Mindlin model of plate bending. We prove that the …
when applied to solve the Reissner–Mindlin model of plate bending. We prove that the …
Benchmark computations of stresses in a spherical dome with shell finite elements
AH Niemi - SIAM Journal on Scientific Computing, 2016 - SIAM
We present a computational framework for analyzing thin shell structures using the finite
element method. The framework is based on a mesh-dependent shell model which we …
element method. The framework is based on a mesh-dependent shell model which we …
Finite Element In-Depth Verification: Base Displacements of a Spherical Dome Loaded by Edge Forces and Moments
VG Terzi, TK Makarios - Modelling, 2023 - mdpi.com
Nowadays, engineers possess a wealth of numerical packages in order to design civil
engineering structures. The finite element method offers a variety of sophisticated element …
engineering structures. The finite element method offers a variety of sophisticated element …
[HTML][HTML] The dome and the ring: Verification of an old mathematical model for the design of a stiffened shell roof
We study an old mathematical model, developed before the computer era, for analyzing the
strength of a stiffened shell roof. The specific problem considered is a textbook example …
strength of a stiffened shell roof. The specific problem considered is a textbook example …
[HTML][HTML] Direct solvers performance on h-adapted grids
We analyse the performance of direct solvers when applied to a system of linear equations
arising from an h-adapted, C 0 finite element space. Theoretical estimates are derived for …
arising from an h-adapted, C 0 finite element space. Theoretical estimates are derived for …
[HTML][HTML] Application of a combined continuous–discontinuous Galerkin finite element method for the solution of the Girkmann problem
In January 2008, the International Association of Computational Mechanics (IACM) invited
the scientific community to solve the Girkmann problem by finite element methods. The …
the scientific community to solve the Girkmann problem by finite element methods. The …
Graph-grammar greedy algorithm for reutilization of partial LU factorization over 3D tetrahedral grids
A Paszyńska - Journal of Computational Science, 2017 - Elsevier
In this paper, we consider three-dimensional grids with tetrahedral finite elements, and the
graph grammar model for mesh generation and adaptation as well as for the simultaneous …
graph grammar model for mesh generation and adaptation as well as for the simultaneous …
[PDF][PDF] Petri nets modeling of dead-end refinement problems in a 3d anisotropic hp-adaptive finite element method
A Szymczak, M Paszyński, D Pardo… - Computing and …, 2015 - core.ac.uk
We consider two graph grammar based Petri nets models for anisotropic refinements of
three dimensional hexahedral grids. The first one detects possible dead-end problems …
three dimensional hexahedral grids. The first one detects possible dead-end problems …
A balanced finite-element method for an axisymmetrically loaded thin shell
We analyse a finite-element discretisation of a differential equation describing an
axisymmetrically loaded thin shell. The problem is singularly perturbed when the thickness …
axisymmetrically loaded thin shell. The problem is singularly perturbed when the thickness …
A balanced finite-element method for an axisymmetrically loaded thin shell
We analyse a finite-element discretisation of a differential equation describing an
axisymmetrically loaded thin shell. The problem is singularly perturbed when the thickness …
axisymmetrically loaded thin shell. The problem is singularly perturbed when the thickness …