A posteriori single-and multi-goal error control and adaptivity for partial differential equations
This work reviews goal-oriented a posteriori error control, adaptivity and solver control for
finite element approximations to boundary and initial-boundary value problems for stationary …
finite element approximations to boundary and initial-boundary value problems for stationary …
Isogeometric analysis with C1-smooth functions over multi-patch surfaces
We present a framework for the construction of a globally C 1-smooth isogeometric spline
space over a particular class of G 1-smooth multi-patch surfaces called analysis-suitable G 1 …
space over a particular class of G 1-smooth multi-patch surfaces called analysis-suitable G 1 …
Two-side a posteriori error estimates for the dual-weighted residual method
In this work, we derive two-sided a posteriori error estimates for the dual-weighted residual
(DWR) method. We consider both single and multiple goal functionals. Using a saturation …
(DWR) method. We consider both single and multiple goal functionals. Using a saturation …
Convergence of adaptive stochastic Galerkin FEM
We propose and analyze novel adaptive algorithms for the numerical solution of elliptic
partial differential equations with parametric uncertainty. Four different marking strategies …
partial differential equations with parametric uncertainty. Four different marking strategies …
Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering
We derive efficient and reliable goal-oriented error estimations, and devise adaptive mesh
procedures for the finite element method that are based on the localization of a posteriori …
procedures for the finite element method that are based on the localization of a posteriori …
A painless automatic hp-adaptive strategy for elliptic problems
In this work, we introduce a novel hp-adaptive strategy. The main goal is to minimize the
complexity and implementational efforts hence increasing the robustness of the algorithm …
complexity and implementational efforts hence increasing the robustness of the algorithm …
Two-level a posteriori error estimation for adaptive multilevel stochastic Galerkin finite element method
The paper considers a class of parametric elliptic partial differential equations (PDEs),
where the coefficients and the right-hand side function depend on infinitely many (uncertain) …
where the coefficients and the right-hand side function depend on infinitely many (uncertain) …
Continuum damage dynamic model combined with transient elastic equation and heat conduction equation to solve RPV stress
W Chen, S Dai, B Zheng - Fractal and Fractional, 2022 - mdpi.com
The development of the world cannot be separated from energy: the energy crisis has
become a major challenge in this era, and nuclear energy has been applied to many fields …
become a major challenge in this era, and nuclear energy has been applied to many fields …
A general finite element method: Extension of variational analysis for nonlinear heat conduction with temperature-dependent properties and boundary conditions, and …
X Yao, Y Wang, J Leng - Computers & Mathematics with Applications, 2021 - Elsevier
In simulation of heat conduction with temperature-independent physical properties and
boundary conditions (BCs), Galerkin residual analysis and variational analysis yield …
boundary conditions (BCs), Galerkin residual analysis and variational analysis yield …
Instance-optimal goal-oriented adaptivity
M Innerberger, D Praetorius - Computational Methods in Applied …, 2021 - degruyter.com
We consider an adaptive finite element method with arbitrary but fixed polynomial degree
p≥ 1, where adaptivity is driven by an edge-based residual error estimator. Based on the …
p≥ 1, where adaptivity is driven by an edge-based residual error estimator. Based on the …