Elliptic problem Following problem 4 Lipschitz domain 4 Local symmetry 4 Unit ball 4 Positive solution 3 Advection 2 Advection diffusion equation 2 Approximation spaces 2 Asymptotic behaviors 2 Asymptotic profiles 2 Computational mechanics 2 Cross-grid elements 2 Discontinuous Galerkin methods 2 Discontinuous galerkin 2 Eigenvalues and eigenfunctions 2 Elliptic problems 2 Error estimates 2 Existence of Solutions 2 Finite element method 2 Galerkin methods 2 Grid elements 2 Mesh generation 2 Mixed finite elements 2 Navier Stokes equations 2 Nonlinear eigenvalue problem 2 Numerical methods 2 Numerical tests 2 Perturbation techniques 2 Principal eigenvalues 2