Finite element solution of nonlinear elliptic problems
Numerische Mathematik
Mixed finite element methods for nonlinear second-order elliptic problems
SIAM Journal on Numerical Analysis
Two-grid Discretization Techniques for Linear and Nonlinear PDEs
SIAM Journal on Numerical Analysis
Schwarz algorithm for the solution of variational inequalities with nonlinear source terms
Applied Mathematics and Computation
A Rectangular Finite Volume Element Method for a Semilinear Elliptic Equation
Journal of Scientific Computing
Hi-index | 7.29 |
We are concerned with the semilinear elliptic problems. We first investigate the L^2-error estimate for the lumped mass finite element method. We then use the cascadic multigrid method to solve the corresponding discrete problem. On the basis of the finite element error estimates, we prove the optimality of the proposed multigrid method. We also report some numerical results to support the theory.