Galerkin Methods for Parabolic Equations with Nonlinear Boundary Conditions.
An alternating-direction iteration method for Helmholtz problems
An alternating-direction iterative procedure is described for a class of Helmholz-like problems. An algorithm for the selection of the iteration parameters is derived; the parameters are complex with some having positive real part and some negative, reflecting the noncoercivity and nonsymmetry of the finite element or finite difference matrix. Examples are presented, with an applications to wave propagation.
Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
Low-order nonconforming Galerkin methods will be analyzed for second-order elliptic equations subjected to Robin, Dirichlet, or Neumann boundary conditions. Both simplicial and rectangular elements will be considered in two and three dimensions. The simplicial elements will be based on , as for conforming elements; however, it is necessary to introduce new elements in the rectangular case. Optimal order error estimates are demonstrated in all cases with respect to a broken...
Stabilized Mixed Methods for the Stokes Problem.
Superconvergence for Galerkin Methods for the Two Point Boundary Problem Via Local Projections.
The stability of the boundary in a Stefan problem
A family of finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems
An estimate and a superconvergence result for a Galerkin method for elliptic equations based on tensor products of piecewise polynomials
Efficient rectangular mixed finite elements in two and three space variables
The approximation of the pressure by a mixed method in the simulation of miscible displacement
A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problems
Nonconforming Galerkin methods based on quadrilateral elements for second order elliptic problems
A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media
Local Galerkin and adjoint local Galerkin procedures for elliptic equations
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