88 citations · 88 across the 8 of their papers we have counts for
9 papers
Scale-uniform inverse inequalities for scaled kernel spaces
Davoud Mirzaei
Inverse inequalities are an important tool in the stability and convergence analysis of kernel approximation methods. In a multiscale setting, however, the trial space changes with…
The least squares RBF-PU method for linear elasticity in the diaphragm geometry
Andreas Michael, Elisabeth Larsson, Pierre-Frédéric Villard +1
The human diaphragm is vital for respiration and its simulation can aid in further understanding complications arising in individuals that have been subjected to mechanical ventila…
The Direct Radial Basis Function Partition of Unity (D-RBF-PU) Method for Solving PDEs
Davoud Mirzaei
In this paper, a new localized radial basis function (RBF) method based on partition of unity (PU) is proposed for solving boundary and initial-boundary value problems. The new met…
Error and Stability Estimates of a Least-Squares Variational Kernel-Based Method for Second Order Elliptic PDEs
Salar Seyednazari, Mehdi Tatari, Davoud Mirzaei
We consider a least-squares variational kernel-based method for numerical solution of second order elliptic partial differential equations on a multi-dimensional domain. In this se…
A meshless based method for solution of integral equations: Improving the error analysis
Davoud Mirzaei
This draft concerns the error analysis of a collocation method based on the moving least squares (MLS) approximation for integral equations, which improves the results of [2] in th…
Analysis of moving least squares approximation revisited
Davoud Mirzaei
In this article the error estimation of the moving least squares approximation is provided for functions in fractional order Sobolev spaces. The analysis presented in this paper ex…
A new low-cost meshfree method for two and three dimensional problems in elasticity
Davoud Mirzaei
In this paper, we continue the development of the Direct Meshless Local Petrov-Galerkin (DMLPG) method for elasto-static problems. This method is based on the generalized moving le…
Solving Heat Conduction Problems by the Direct Meshless Local Petrov-Galerkin (DMLPG) method
Davoud Mirzaei, Robert Schaback
As an improvement of the Meshless Local Petrov-Galerkin (MLPG), the Direct Meshless Local Petrov-Galerkin (DMLPG) method is applied here to the numerical solution of transient heat…
Direct meshless local Petrov-Galerkin (DMLPG) method: A generalized MLS approximation
Davoud Mirzaei, Robert Schaback
The Meshless Local Petrov{Galerkin (MLPG) method is one of the popular meshless methods that has been used very successfully to solve several types of boundary value problems since…