[ΒΙΒΛΙΟ][B] Robust numerical methods for singularly perturbed differential equations

HG Roos - 2008 - Springer
The analysis of singular perturbed differential equations began early in the twentieth
century, when approximate solutions were constructed from asymptotic expansions …

[ΒΙΒΛΙΟ][B] Adaptive moving mesh methods

W Huang, RD Russell - 2010 - books.google.com
This book is about adaptive mesh generation and moving mesh methods for the numerical
solution of time-dependent partial differential equations. It presents a general framework and …

Adaptive grid refinement for hydrodynamic flows

J Wackers, G Deng, A Leroyer, P Queutey… - Computers & …, 2012 - Elsevier
An adaptive grid refinement method is presented for hydrodynamic flow simulation. It is
meant for application to a wide range of realistic flow problems, so generality and flexibility …

A study on moving mesh finite element solution of the porous medium equation

C Ngo, W Huang - Journal of Computational Physics, 2017 - Elsevier
An adaptive moving mesh finite element method is studied for the numerical solution of the
porous medium equation with and without variable exponents and absorption. The method …

Error estimation and adaptive mesh refinement for aerodynamic flows

R Hartmann, J Held, T Leicht, F Prill - … by the European Union, 2006-2009, 2010 - Springer
We consider the adjoint-based error estimation and goal-oriented mesh refinement for
single and multiple aerodynamic force coefficients as well as residual-based mesh …
R Garimella, M Kucharik, M Shashkov - Computers & fluids, 2007 - Elsevier
An accurate conservative interpolation (remap**) algorithm is an essential component of
most Arbitrary Lagrangian–Eulerian (ALE) methods. In this paper, we describe an efficient …

Second-order accurate Godunov scheme for multicomponent flows on moving triangular meshes

G Chen, H Tang, P Zhang - Journal of Scientific Computing, 2008 - Springer
This paper presents a second-order accurate adaptive Godunov method for two-
dimensional (2D) compressible multicomponent flows, which is an extension of the previous …

Moving mesh finite element simulation for phase-field modeling of brittle fracture and convergence of Newton's iteration

F Zhang, W Huang, X Li, S Zhang - Journal of Computational Physics, 2018 - Elsevier
A moving mesh finite element method is studied for the numerical solution of a phase-field
model for brittle fracture. The moving mesh partial differential equation approach is …

An anisotropic mesh adaptation method for the finite element solution of heterogeneous anisotropic diffusion problems

X Li, W Huang - Journal of Computational Physics, 2010 - Elsevier
Heterogeneous anisotropic diffusion problems arise in the various areas of science and
engineering including plasma physics, petroleum engineering, and image processing …