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[كتاب][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 …
century, when approximate solutions were constructed from asymptotic expansions …
Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods
Two apparently different forms of dealing with the numerical instability due to the
incompressibility constraint of the Stokes problem are analyzed in this paper. The first of …
incompressibility constraint of the Stokes problem are analyzed in this paper. The first of …
[كتاب][B] Anisotropic finite elements: local estimates and applications
T Apel - 1999 - athene-forschung.rz.unibw …
The solution of elliptic boundary value problems may have anisotropic behaviour in parts of
the domain. That means that the solution varies signicantly only in certain directions …
the domain. That means that the solution varies signicantly only in certain directions …
[PDF][PDF] Variational multiscale methods in computational fluid dynamics
This article describes the Variational Multiscale Method (VMS) applied to flow problems. The
main idea of the formulation in the case of stationary linear problems is explained with some …
main idea of the formulation in the case of stationary linear problems is explained with some …
A low order Galerkin finite element method for the Navier–Stokes equations of steady incompressible flow: a stabilization issue and iterative methods
A Galerkin finite element method is considered to approximate the incompressible Navier–
Stokes equations together with iterative methods to solve a resulting system of algebraic …
Stokes equations together with iterative methods to solve a resulting system of algebraic …
Robust numerical methods for singularly perturbed differential equations: a survey covering 2008–2012
We present new results in the numerical analysis of singularly perturbed convection‐
diffusion‐reaction problems that have appeared in the last five years. Mainly discussing …
diffusion‐reaction problems that have appeared in the last five years. Mainly discussing …
Crouzeix-Raviart type finite elements on anisotropic meshes
The paper deals with a non-conforming finite element method on a class of anisotropic
meshes. The Crouzeix-Raviart element is used on triangles and tetrahedra. For rectangles …
meshes. The Crouzeix-Raviart element is used on triangles and tetrahedra. For rectangles …
Anisotropic mesh adaptation in computational fluid dynamics: application to the advection–diffusion–reaction and the Stokes problems
In this work we develop an anisotropic a posteriori error analysis of the advection–diffusion–
reaction and the Stokes problems. This is the first step towards the study of more complex …
reaction and the Stokes problems. This is the first step towards the study of more complex …
Layer‐adapted grids for singular perturbation problems
In the present paper a survey is given on the application of Shishkin grids to convection‐
diffusion problems with dominant convection, further some new results and open problems …
diffusion problems with dominant convection, further some new results and open problems …
hp discontinuous Galerkin approximations for the Stokes problem
A Toselli - Mathematical Models and Methods in Applied …, 2002 - World Scientific
We propose and analyze a discontinuous Galerkin approximation for the Stokes problem.
The finite element triangulation employed is not required to be conforming and we use …
The finite element triangulation employed is not required to be conforming and we use …