Solving nonlinear eigenvalue problems by using p-version of FEM
Two nonlinear eigenvalue problems associated with strongly nonlinear partial differential equations are considered under a Dirichlet boundary condition on a square domain. The p-version of the finite-element method is applied to evaluate the first eigenvalue and the corresponding eigen-function. The numerical results are compared with the results obtained by the h-version of the FEM. (C) 2003 Elsevier Science Ltd. All rights reserved.
eigenvalue problem p-version fem nonlinear pde