41 citations · 46 across the 4 of their papers we have counts for
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Mixed finite element approximation for non-divergence form elliptic equations with random input data
Amireh Mousavi
We consider an elliptic partial differential equation in non-divergence form with a random diffusion matrix and random forcing term. To address this, we propose a mixed-type contin…
A least-squares Galerkin approach to gradient recovery for Hamilton-Jacobi-Bellman equation with Cordes coefficients
Omar Lakkis, Amireh Mousavi
We propose a conforming finite element method to approximate the strong solution of the second order Hamilton-Jacobi-Bellman equation with Dirichlet boundary and coefficients satis…
A least-squares Galerkin gradient recovery method for fully nonlinear elliptic equations
Omar Lakkis, Amireh Mousavi
We propose a least squares Galerkin based gradient recovery to approximate Dirichlet problems for strong solutions of linear elliptic problems in nondivergence form and correspondi…
A least-squares Galerkin approach to gradient and Hessian recovery for nondivergence-form elliptic equations
Omar Lakkis, Amireh Mousavi
We propose a least-squares method involving the recovery of the gradient and possibly the Hessian for elliptic equation in nondivergence form. As our approach is based on the Lax--…