5 papers
Vectorized 3D mesh refinement and implementation of primal hybrid FEM in MATLAB
Harish Nagula Mallesham, Sharat Gaddam, Jan Valdman +1
In this article, we introduce a Face-to-Tetrahedron connectivity in MATLAB together with a vectorized 3D uniform mesh refinement technique. We introduce a MATLAB vectorized assembl…
Vectorized implementation of primal hybrid FEM in MATLAB
Harish Nagula Mallesham, Kamana Porwal, Jan Valdman +1
We present efficient MATLAB implementations of the lowest-order primal hybrid finite element method (FEM) for linear second-order elliptic and parabolic problems with mixed boundar…
Additive Average Schwarz Method for Elliptic Mortar Finite Element Problems with Highly Heterogeneous Coefficients
Ali Khademi, Leszek Marcinkowski, Sanjib Kumar Acharya +1
In this paper, we extend the additive average Schwarz method to solve second order elliptic boundary value problems with heterogeneous coefficients inside the subdomains and across…
A priori error analysis of the -mortar FEM for parabolic problems
Sanjib Kumar Acharya, Ajit Patel, Talal Rahman
In this article we derive a priori error estimates for the -version of the mortar finite element method for parabolic initial-boundary value problems. Both semidiscrete and ful…
Convergence results with natural norms: Stabilized Lagrange multiplier method for elliptic interface problems
Sanjib Kumar Acharya, Ajit Patel
A stabilized Lagrange multiplier method for second order elliptic interface problems is presented in the framework of mortar method. The requirement of LBB (Ladyzhenskaya-Babuška-B…