29 citations · 57 across the 9 of their papers we have counts for
9 papers
Four-Field Mixed Finite Element Methods for Incompressible Nonlinear Elasticity
Arzhang Angoshtari
We introduce conformal mixed finite element methods for D and D incompressible nonlinear elasticity in terms of displacement, displacement gradient, the first Piola-Kirchhoff…
A Conformal Three-Field Formulation for Nonlinear Elasticity: From Differential Complexes to Mixed Finite Element Methods
Arzhang Angoshtari, Ali Gerami Matin
We introduce a new class of mixed finite element methods for 2D and 3D compressible nonlinear elasticity. The independent unknowns of these conformal methods are displacement, disp…
Differential Complexes in Continuum Mechanics
Arzhang Angoshtari, Arash Yavari
We study some differential complexes in continuum mechanics that involve both symmetric and non-symmetric second-order tensors. In particular, we show that the tensorial analogue o…
Convergence Analysis of the Wolf Method for Coulombic Interactions
Arzhang Angoshtari, Arash Yavari
A rigorous proof for convergence of the Wolf method for calculating electrostatic energy of a periodic lattice is presented. In particular, we show that for an arbitrary lattice of…
Effect of External Normal and Parallel Electric Fields on 180^o Ferroelectric Domain Walls in PbTiO_3
Arzhang Angoshtari, Arash Yavari
We impose uniform electric fields both parallel and normal to 180^o ferroelectric domain walls in PbTiO_3 and obtain the equilibrium structures using the method of anharmonic latti…
Atomic Structure of Steps on 180^o Ferroelectric Domain Walls in PbTiO_3
Arzhang Angoshtari, Arash Yavari
Using the method of anharmonic lattice statics, we calculate the equilibrium structure of steps on 180^o ferroelectric domain walls (DW) in PbTiO_3. We consider three different typ…